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GCD of 976, 600, 216, 737 Calculator

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


Online GCD Calculator is useful to find the GCD of 976, 600, 216, 737 quickly. Get the easiest ways to solve the greatest common divisor of 976, 600, 216, 737 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 976, 600, 216, 737 with Factoring?

Given Input numbers are 976, 600, 216, 737

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737


GCD of numbers is the greatest common divisor

So, the GCD (976, 600, 216, 737) = 1.

Find GCD of 976, 600, 216, 737 using Prime Factorization

Given numbers are 976, 600, 216, 737

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 737 are 11 x 67

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

Steps to Calculate GCD of 976, 600, 216, 737 using LCM Formula

Given numbers are 976, 600, 216, 737

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

Apply this formula for all numbers.

Step1:

LCM(976, 600) = 73200

GCD(976, 600) = ( 976 x 600 ) / 73200

= 976 / 600

= 976


Step2:

LCM(8, 216) = 216

GCD(8, 216) = ( 8 x 216 ) / 216

= 8 / 216

= 8


Step3:

LCM(8, 737) = 5896

GCD(8, 737) = ( 8 x 737 ) / 5896

= 8 / 737

= 8


So, Greatest Common Divisor of 976, 600, 216, 737 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 976, 600, 216, 737

Given numbers are 976, 600, 216, 737
The greatest common divisor of numbers 976, 600, 216, 737 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 600, 216, 737 is 1.

FAQs on GCD of 976, 600, 216, 737 Calculator

1. What is the GCD of 976, 600, 216, 737?

GCD of given numbers 976, 600, 216, 737 is 1


2. How to calculate the greatest common divisor of 976, 600, 216, 737?

We can find the highest common divisor of 976, 600, 216, 737 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 976, 600, 216, 737 i.e 1.


3. How can I use the GCD of 976, 600, 216, 737Calculator?

Out the numbers 976, 600, 216, 737 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.