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GCD of 225, 747, 977, 348 Calculator

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


Online GCD Calculator is useful to find the GCD of 225, 747, 977, 348 quickly. Get the easiest ways to solve the greatest common divisor of 225, 747, 977, 348 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 747, 977, 348 with Factoring?

Given Input numbers are 225, 747, 977, 348

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348


GCD of numbers is the greatest common divisor

So, the GCD (225, 747, 977, 348) = 1.

Find GCD of 225, 747, 977, 348 using Prime Factorization

Given numbers are 225, 747, 977, 348

The list of prime factors of all numbers are

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 747 are 3 x 3 x 83

Prime factors of 977 are 977

Prime factors of 348 are 2 x 2 x 3 x 29

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

Steps to Calculate GCD of 225, 747, 977, 348 using LCM Formula

Given numbers are 225, 747, 977, 348

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

Apply this formula for all numbers.

Step1:

LCM(225, 747) = 18675

GCD(225, 747) = ( 225 x 747 ) / 18675

= 225 / 747

= 225


Step2:

LCM(9, 977) = 8793

GCD(9, 977) = ( 9 x 977 ) / 8793

= 9 / 977

= 9


Step3:

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

= 1 / 348

= 1


So, Greatest Common Divisor of 225, 747, 977, 348 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 747, 977, 348

Given numbers are 225, 747, 977, 348
The greatest common divisor of numbers 225, 747, 977, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 747, 977, 348 is 1.

FAQs on GCD of 225, 747, 977, 348 Calculator

1. What is the GCD of 225, 747, 977, 348?

GCD of given numbers 225, 747, 977, 348 is 1


2. How to calculate the greatest common divisor of 225, 747, 977, 348?

We can find the highest common divisor of 225, 747, 977, 348 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 225, 747, 977, 348 i.e 1.


3. How can I use the GCD of 225, 747, 977, 348Calculator?

Out the numbers 225, 747, 977, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.