Q. 105.0( 1 Vote )

# Find g. c. d and l.c.m.112, 128, 144

For L.C.M or G.C.D we first need to find the prime factors of the numbers

112 = 2 × 2 × 2 × 2 × 7

128 = 2 × 2 × 2 × 2 × 2 × 2 × 2

144 = 2 × 2 × 2 × 2 × 3 × 3

g.c.d of a group of numbers is the product of numbers that are common to the prime factors of numbers

Therefore, g. c. d(112, 128, 144) = 2 × 2 × 2 × 2 = 16

L.C.M of a group of numbers is the product of all the factors of three numbers without replicating the number more than one which is common to all numbers

Therefore, l.c.m.(112, 128, 144) = 27 × 3 × 3 × 7 = 8064

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Interactive Quiz:Euclid's Division Lemma44 mins  Fundamental Theorem of Arithmetic-238 mins  Fundamental Theorem of Arithmetic- 143 mins  Champ Quiz | Fundamental Principle Of Arithmetic41 mins  NCERT | Imp. Qs. on Rational and Irrational Numbers44 mins  Euclids Division Lemma49 mins  Quiz | Imp Qs on Real Numbers37 mins  Interactive Quiz - HCF and LCM32 mins  Relation Between LCM , HCF and Numbers46 mins  Application of Euclids Division Lemma50 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 