GCD of 742, 420, 657 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 742, 420, 657 quickly. Get the easiest ways to solve the greatest common divisor of 742, 420, 657 i.e 1 in different methods as follows.
Given Input numbers are 742, 420, 657
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
GCD of numbers is the greatest common divisor
So, the GCD (742, 420, 657) = 1.
Given numbers are 742, 420, 657
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 657 are 3 x 3 x 73
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 742, 420, 657 using LCM Formula
Given numbers are 742, 420, 657
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 420) = 22260
GCD(742, 420) = ( 742 x 420 ) / 22260
= 742 / 420
= 742
Step2:
LCM(14, 657) = 9198
GCD(14, 657) = ( 14 x 657 ) / 9198
= 14 / 657
= 14
So, Greatest Common Divisor of 742, 420, 657 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 742, 420, 657
Given numbers are 742, 420, 657
The greatest common divisor of numbers 742, 420, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 420, 657 is 1.
FAQs on GCD of 742, 420, 657 Calculator
1. What is the GCD of 742, 420, 657?
GCD of given numbers 742, 420, 657 is 1
2. How to calculate the greatest common divisor of 742, 420, 657?
We can find the highest common divisor of 742, 420, 657 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, 420, 657 i.e 1.
3. How can I use the GCD of 742, 420, 657Calculator?
Out the numbers 742, 420, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.