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GCD of 350, 972, 625, 384 Calculator

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


Online GCD Calculator is useful to find the GCD of 350, 972, 625, 384 quickly. Get the easiest ways to solve the greatest common divisor of 350, 972, 625, 384 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 350, 972, 625, 384 with Factoring?

Given Input numbers are 350, 972, 625, 384

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 625 :

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

1, 5, 25, 125, 625

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384


GCD of numbers is the greatest common divisor

So, the GCD (350, 972, 625, 384) = 1.

Find GCD of 350, 972, 625, 384 using Prime Factorization

Given numbers are 350, 972, 625, 384

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Steps to Calculate GCD of 350, 972, 625, 384 using LCM Formula

Given numbers are 350, 972, 625, 384

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

Apply this formula for all numbers.

Step1:

LCM(350, 972) = 170100

GCD(350, 972) = ( 350 x 972 ) / 170100

= 350 / 972

= 350


Step2:

LCM(2, 625) = 1250

GCD(2, 625) = ( 2 x 625 ) / 1250

= 2 / 625

= 2


Step3:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1


So, Greatest Common Divisor of 350, 972, 625, 384 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 350, 972, 625, 384

Given numbers are 350, 972, 625, 384
The greatest common divisor of numbers 350, 972, 625, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 972, 625, 384 is 1.

FAQs on GCD of 350, 972, 625, 384 Calculator

1. What is the GCD of 350, 972, 625, 384?

GCD of given numbers 350, 972, 625, 384 is 1


2. How to calculate the greatest common divisor of 350, 972, 625, 384?

We can find the highest common divisor of 350, 972, 625, 384 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 350, 972, 625, 384 i.e 1.


3. How can I use the GCD of 350, 972, 625, 384Calculator?

Out the numbers 350, 972, 625, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.