GCD of 742, 708, 64 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 742, 708, 64 quickly. Get the easiest ways to solve the greatest common divisor of 742, 708, 64 i.e 2 in different methods as follows.
Given Input numbers are 742, 708, 64
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 64 :
The positive integer divisors of 64 that completely divides 64 are.
1, 2, 4, 8, 16, 32, 64
GCD of numbers is the greatest common divisor
So, the GCD (742, 708, 64) = 2.
Given numbers are 742, 708, 64
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2
The highest common occurrence is 21
Therefore, GCD of 742, 708, 64 is 2.
Steps to Calculate GCD of 742, 708, 64 using LCM Formula
Given numbers are 742, 708, 64
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 708) = 262668
GCD(742, 708) = ( 742 x 708 ) / 262668
= 742 / 708
= 742
Step2:
LCM(2, 64) = 64
GCD(2, 64) = ( 2 x 64 ) / 64
= 2 / 64
= 2
So, Greatest Common Divisor of 742, 708, 64 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 742, 708, 64
Given numbers are 742, 708, 64
The greatest common divisor of numbers 742, 708, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 708, 64 is 2.
FAQs on GCD of 742, 708, 64 Calculator
1. What is the GCD of 742, 708, 64?
GCD of given numbers 742, 708, 64 is 2
2. How to calculate the greatest common divisor of 742, 708, 64?
We can find the highest common divisor of 742, 708, 64 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 742, 708, 64 i.e 2.
3. How can I use the GCD of 742, 708, 64Calculator?
Out the numbers 742, 708, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.