GCD of 742, 940, 772 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 742, 940, 772 quickly. Get the easiest ways to solve the greatest common divisor of 742, 940, 772 i.e 2 in different methods as follows.
Given Input numbers are 742, 940, 772
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 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
GCD of numbers is the greatest common divisor
So, the GCD (742, 940, 772) = 2.
Given numbers are 742, 940, 772
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 772 are 2 x 2 x 193
The highest common occurrence is 21
Therefore, GCD of 742, 940, 772 is 2.
Steps to Calculate GCD of 742, 940, 772 using LCM Formula
Given numbers are 742, 940, 772
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 940) = 348740
GCD(742, 940) = ( 742 x 940 ) / 348740
= 742 / 940
= 742
Step2:
LCM(2, 772) = 772
GCD(2, 772) = ( 2 x 772 ) / 772
= 2 / 772
= 2
So, Greatest Common Divisor of 742, 940, 772 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 742, 940, 772
Given numbers are 742, 940, 772
The greatest common divisor of numbers 742, 940, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 940, 772 is 2.
FAQs on GCD of 742, 940, 772 Calculator
1. What is the GCD of 742, 940, 772?
GCD of given numbers 742, 940, 772 is 2
2. How to calculate the greatest common divisor of 742, 940, 772?
We can find the highest common divisor of 742, 940, 772 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, 940, 772 i.e 2.
3. How can I use the GCD of 742, 940, 772Calculator?
Out the numbers 742, 940, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.