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GCD of 976, 220, 740, 340 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, 220, 740, 340 quickly. Get the easiest ways to solve the greatest common divisor of 976, 220, 740, 340 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 976, 220, 740, 340 with Factoring?

Given Input numbers are 976, 220, 740, 340

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340


GCD of numbers is the greatest common divisor

So, the GCD (976, 220, 740, 340) = 4.

Find GCD of 976, 220, 740, 340 using Prime Factorization

Given numbers are 976, 220, 740, 340

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 220 are 2 x 2 x 5 x 11

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 22

Therefore, GCD of 976, 220, 740, 340 is 4.

Steps to Calculate GCD of 976, 220, 740, 340 using LCM Formula

Given numbers are 976, 220, 740, 340

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

Apply this formula for all numbers.

Step1:

LCM(976, 220) = 53680

GCD(976, 220) = ( 976 x 220 ) / 53680

= 976 / 220

= 976


Step2:

LCM(4, 740) = 740

GCD(4, 740) = ( 4 x 740 ) / 740

= 4 / 740

= 4


Step3:

LCM(4, 340) = 340

GCD(4, 340) = ( 4 x 340 ) / 340

= 4 / 340

= 4


So, Greatest Common Divisor of 976, 220, 740, 340 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 976, 220, 740, 340

Given numbers are 976, 220, 740, 340
The greatest common divisor of numbers 976, 220, 740, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 220, 740, 340 is 4.

FAQs on GCD of 976, 220, 740, 340 Calculator

1. What is the GCD of 976, 220, 740, 340?

GCD of given numbers 976, 220, 740, 340 is 4


2. How to calculate the greatest common divisor of 976, 220, 740, 340?

We can find the highest common divisor of 976, 220, 740, 340 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, 220, 740, 340 i.e 4.


3. How can I use the GCD of 976, 220, 740, 340Calculator?

Out the numbers 976, 220, 740, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.