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GCD of 625, 542, 109, 882 Calculator

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


Online GCD Calculator is useful to find the GCD of 625, 542, 109, 882 quickly. Get the easiest ways to solve the greatest common divisor of 625, 542, 109, 882 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 625, 542, 109, 882 with Factoring?

Given Input numbers are 625, 542, 109, 882

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

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882


GCD of numbers is the greatest common divisor

So, the GCD (625, 542, 109, 882) = 1.

Find GCD of 625, 542, 109, 882 using Prime Factorization

Given numbers are 625, 542, 109, 882

The list of prime factors of all numbers are

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 542 are 2 x 271

Prime factors of 109 are 109

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

Steps to Calculate GCD of 625, 542, 109, 882 using LCM Formula

Given numbers are 625, 542, 109, 882

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

Apply this formula for all numbers.

Step1:

LCM(625, 542) = 338750

GCD(625, 542) = ( 625 x 542 ) / 338750

= 625 / 542

= 625


Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1


Step3:

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

= 1 / 882

= 1


So, Greatest Common Divisor of 625, 542, 109, 882 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 625, 542, 109, 882

Given numbers are 625, 542, 109, 882
The greatest common divisor of numbers 625, 542, 109, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 625, 542, 109, 882 is 1.

FAQs on GCD of 625, 542, 109, 882 Calculator

1. What is the GCD of 625, 542, 109, 882?

GCD of given numbers 625, 542, 109, 882 is 1


2. How to calculate the greatest common divisor of 625, 542, 109, 882?

We can find the highest common divisor of 625, 542, 109, 882 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 625, 542, 109, 882 i.e 1.


3. How can I use the GCD of 625, 542, 109, 882Calculator?

Out the numbers 625, 542, 109, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.