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GCD of 980, 961, 526, 971 Calculator

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


Online GCD Calculator is useful to find the GCD of 980, 961, 526, 971 quickly. Get the easiest ways to solve the greatest common divisor of 980, 961, 526, 971 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 980, 961, 526, 971 with Factoring?

Given Input numbers are 980, 961, 526, 971

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971


GCD of numbers is the greatest common divisor

So, the GCD (980, 961, 526, 971) = 1.

Find GCD of 980, 961, 526, 971 using Prime Factorization

Given numbers are 980, 961, 526, 971

The list of prime factors of all numbers are

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 961 are 31 x 31

Prime factors of 526 are 2 x 263

Prime factors of 971 are 971

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

Steps to Calculate GCD of 980, 961, 526, 971 using LCM Formula

Given numbers are 980, 961, 526, 971

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

Apply this formula for all numbers.

Step1:

LCM(980, 961) = 941780

GCD(980, 961) = ( 980 x 961 ) / 941780

= 980 / 961

= 980


Step2:

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

= 1 / 526

= 1


Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1


So, Greatest Common Divisor of 980, 961, 526, 971 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 980, 961, 526, 971

Given numbers are 980, 961, 526, 971
The greatest common divisor of numbers 980, 961, 526, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 961, 526, 971 is 1.

FAQs on GCD of 980, 961, 526, 971 Calculator

1. What is the GCD of 980, 961, 526, 971?

GCD of given numbers 980, 961, 526, 971 is 1


2. How to calculate the greatest common divisor of 980, 961, 526, 971?

We can find the highest common divisor of 980, 961, 526, 971 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 980, 961, 526, 971 i.e 1.


3. How can I use the GCD of 980, 961, 526, 971Calculator?

Out the numbers 980, 961, 526, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.