LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 708, 700, 976, 716 Calculator

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


Online GCD Calculator is useful to find the GCD of 708, 700, 976, 716 quickly. Get the easiest ways to solve the greatest common divisor of 708, 700, 976, 716 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 708, 700, 976, 716 with Factoring?

Given Input numbers are 708, 700, 976, 716

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

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 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 976 :

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

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716


GCD of numbers is the greatest common divisor

So, the GCD (708, 700, 976, 716) = 4.

Find GCD of 708, 700, 976, 716 using Prime Factorization

Given numbers are 708, 700, 976, 716

The list of prime factors of all numbers are

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

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

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

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 22

Therefore, GCD of 708, 700, 976, 716 is 4.

Steps to Calculate GCD of 708, 700, 976, 716 using LCM Formula

Given numbers are 708, 700, 976, 716

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

Apply this formula for all numbers.

Step1:

LCM(708, 700) = 123900

GCD(708, 700) = ( 708 x 700 ) / 123900

= 708 / 700

= 708


Step2:

LCM(4, 976) = 976

GCD(4, 976) = ( 4 x 976 ) / 976

= 4 / 976

= 4


Step3:

LCM(4, 716) = 716

GCD(4, 716) = ( 4 x 716 ) / 716

= 4 / 716

= 4


So, Greatest Common Divisor of 708, 700, 976, 716 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 708, 700, 976, 716

Given numbers are 708, 700, 976, 716
The greatest common divisor of numbers 708, 700, 976, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 700, 976, 716 is 4.

FAQs on GCD of 708, 700, 976, 716 Calculator

1. What is the GCD of 708, 700, 976, 716?

GCD of given numbers 708, 700, 976, 716 is 4


2. How to calculate the greatest common divisor of 708, 700, 976, 716?

We can find the highest common divisor of 708, 700, 976, 716 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 708, 700, 976, 716 i.e 4.


3. How can I use the GCD of 708, 700, 976, 716Calculator?

Out the numbers 708, 700, 976, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.