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GCD of 700, 332, 974, 225 Calculator

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


Online GCD Calculator is useful to find the GCD of 700, 332, 974, 225 quickly. Get the easiest ways to solve the greatest common divisor of 700, 332, 974, 225 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 700, 332, 974, 225 with Factoring?

Given Input numbers are 700, 332, 974, 225

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 225 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (700, 332, 974, 225) = 1.

Find GCD of 700, 332, 974, 225 using Prime Factorization

Given numbers are 700, 332, 974, 225

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 332 are 2 x 2 x 83

Prime factors of 974 are 2 x 487

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

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

Steps to Calculate GCD of 700, 332, 974, 225 using LCM Formula

Given numbers are 700, 332, 974, 225

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

Apply this formula for all numbers.

Step1:

LCM(700, 332) = 58100

GCD(700, 332) = ( 700 x 332 ) / 58100

= 700 / 332

= 700


Step2:

LCM(4, 974) = 1948

GCD(4, 974) = ( 4 x 974 ) / 1948

= 4 / 974

= 4


Step3:

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

= 2 / 225

= 2


So, Greatest Common Divisor of 700, 332, 974, 225 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 700, 332, 974, 225

Given numbers are 700, 332, 974, 225
The greatest common divisor of numbers 700, 332, 974, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 332, 974, 225 is 1.

FAQs on GCD of 700, 332, 974, 225 Calculator

1. What is the GCD of 700, 332, 974, 225?

GCD of given numbers 700, 332, 974, 225 is 1


2. How to calculate the greatest common divisor of 700, 332, 974, 225?

We can find the highest common divisor of 700, 332, 974, 225 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 700, 332, 974, 225 i.e 1.


3. How can I use the GCD of 700, 332, 974, 225Calculator?

Out the numbers 700, 332, 974, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.