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GCD of 750, 708, 332, 760 Calculator

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


Online GCD Calculator is useful to find the GCD of 750, 708, 332, 760 quickly. Get the easiest ways to solve the greatest common divisor of 750, 708, 332, 760 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 750, 708, 332, 760 with Factoring?

Given Input numbers are 750, 708, 332, 760

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

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 332 :

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

1, 2, 4, 83, 166, 332

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760


GCD of numbers is the greatest common divisor

So, the GCD (750, 708, 332, 760) = 2.

Find GCD of 750, 708, 332, 760 using Prime Factorization

Given numbers are 750, 708, 332, 760

The list of prime factors of all numbers are

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 332 are 2 x 2 x 83

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 21

Therefore, GCD of 750, 708, 332, 760 is 2.

Steps to Calculate GCD of 750, 708, 332, 760 using LCM Formula

Given numbers are 750, 708, 332, 760

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

Apply this formula for all numbers.

Step1:

LCM(750, 708) = 88500

GCD(750, 708) = ( 750 x 708 ) / 88500

= 750 / 708

= 750


Step2:

LCM(6, 332) = 996

GCD(6, 332) = ( 6 x 332 ) / 996

= 6 / 332

= 6


Step3:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2


So, Greatest Common Divisor of 750, 708, 332, 760 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 750, 708, 332, 760

Given numbers are 750, 708, 332, 760
The greatest common divisor of numbers 750, 708, 332, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 708, 332, 760 is 2.

FAQs on GCD of 750, 708, 332, 760 Calculator

1. What is the GCD of 750, 708, 332, 760?

GCD of given numbers 750, 708, 332, 760 is 2


2. How to calculate the greatest common divisor of 750, 708, 332, 760?

We can find the highest common divisor of 750, 708, 332, 760 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 750, 708, 332, 760 i.e 2.


3. How can I use the GCD of 750, 708, 332, 760Calculator?

Out the numbers 750, 708, 332, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.