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GCD of 977, 896, 588, 354 Calculator

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


Online GCD Calculator is useful to find the GCD of 977, 896, 588, 354 quickly. Get the easiest ways to solve the greatest common divisor of 977, 896, 588, 354 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 977, 896, 588, 354 with Factoring?

Given Input numbers are 977, 896, 588, 354

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

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354


GCD of numbers is the greatest common divisor

So, the GCD (977, 896, 588, 354) = 1.

Find GCD of 977, 896, 588, 354 using Prime Factorization

Given numbers are 977, 896, 588, 354

The list of prime factors of all numbers are

Prime factors of 977 are 977

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 354 are 2 x 3 x 59

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

Steps to Calculate GCD of 977, 896, 588, 354 using LCM Formula

Given numbers are 977, 896, 588, 354

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

Apply this formula for all numbers.

Step1:

LCM(977, 896) = 875392

GCD(977, 896) = ( 977 x 896 ) / 875392

= 977 / 896

= 977


Step2:

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

= 1 / 588

= 1


Step3:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1


So, Greatest Common Divisor of 977, 896, 588, 354 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 977, 896, 588, 354

Given numbers are 977, 896, 588, 354
The greatest common divisor of numbers 977, 896, 588, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 896, 588, 354 is 1.

FAQs on GCD of 977, 896, 588, 354 Calculator

1. What is the GCD of 977, 896, 588, 354?

GCD of given numbers 977, 896, 588, 354 is 1


2. How to calculate the greatest common divisor of 977, 896, 588, 354?

We can find the highest common divisor of 977, 896, 588, 354 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 977, 896, 588, 354 i.e 1.


3. How can I use the GCD of 977, 896, 588, 354Calculator?

Out the numbers 977, 896, 588, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.