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GCD of 708, 925, 654, 762 Calculator

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


Online GCD Calculator is useful to find the GCD of 708, 925, 654, 762 quickly. Get the easiest ways to solve the greatest common divisor of 708, 925, 654, 762 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 708, 925, 654, 762 with Factoring?

Given Input numbers are 708, 925, 654, 762

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

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 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762


GCD of numbers is the greatest common divisor

So, the GCD (708, 925, 654, 762) = 1.

Find GCD of 708, 925, 654, 762 using Prime Factorization

Given numbers are 708, 925, 654, 762

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 925 are 5 x 5 x 37

Prime factors of 654 are 2 x 3 x 109

Prime factors of 762 are 2 x 3 x 127

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

Steps to Calculate GCD of 708, 925, 654, 762 using LCM Formula

Given numbers are 708, 925, 654, 762

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

Apply this formula for all numbers.

Step1:

LCM(708, 925) = 654900

GCD(708, 925) = ( 708 x 925 ) / 654900

= 708 / 925

= 708


Step2:

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

= 1 / 654

= 1


Step3:

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

= 1 / 762

= 1


So, Greatest Common Divisor of 708, 925, 654, 762 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 708, 925, 654, 762

Given numbers are 708, 925, 654, 762
The greatest common divisor of numbers 708, 925, 654, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 925, 654, 762 is 1.

FAQs on GCD of 708, 925, 654, 762 Calculator

1. What is the GCD of 708, 925, 654, 762?

GCD of given numbers 708, 925, 654, 762 is 1


2. How to calculate the greatest common divisor of 708, 925, 654, 762?

We can find the highest common divisor of 708, 925, 654, 762 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 708, 925, 654, 762 i.e 1.


3. How can I use the GCD of 708, 925, 654, 762Calculator?

Out the numbers 708, 925, 654, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.