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GCD of 772, 629, 107, 407 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 772, 629, 107, 407 quickly. Get the easiest ways to solve the greatest common divisor of 772, 629, 107, 407 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 772, 629, 107, 407 with Factoring?

Given Input numbers are 772, 629, 107, 407

In the factoring method, we have to find the divisors of all numbers

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407


GCD of numbers is the greatest common divisor

So, the GCD (772, 629, 107, 407) = 1.

Find GCD of 772, 629, 107, 407 using Prime Factorization

Given numbers are 772, 629, 107, 407

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 629 are 17 x 37

Prime factors of 107 are 107

Prime factors of 407 are 11 x 37

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 772, 629, 107, 407 using LCM Formula

Given numbers are 772, 629, 107, 407

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(772, 629) = 485588

GCD(772, 629) = ( 772 x 629 ) / 485588

= 772 / 629

= 772


Step2:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1


Step3:

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

= 1 / 407

= 1


So, Greatest Common Divisor of 772, 629, 107, 407 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 772, 629, 107, 407

Given numbers are 772, 629, 107, 407
The greatest common divisor of numbers 772, 629, 107, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 629, 107, 407 is 1.

FAQs on GCD of 772, 629, 107, 407 Calculator

1. What is the GCD of 772, 629, 107, 407?

GCD of given numbers 772, 629, 107, 407 is 1


2. How to calculate the greatest common divisor of 772, 629, 107, 407?

We can find the highest common divisor of 772, 629, 107, 407 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 772, 629, 107, 407 i.e 1.


3. How can I use the GCD of 772, 629, 107, 407Calculator?

Out the numbers 772, 629, 107, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.