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 977, 112, 338, 179 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, 112, 338, 179 quickly. Get the easiest ways to solve the greatest common divisor of 977, 112, 338, 179 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 977, 112, 338, 179 with Factoring?

Given Input numbers are 977, 112, 338, 179

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 179 :

The positive integer divisors of 179 that completely divides 179 are.

1, 179


GCD of numbers is the greatest common divisor

So, the GCD (977, 112, 338, 179) = 1.

Find GCD of 977, 112, 338, 179 using Prime Factorization

Given numbers are 977, 112, 338, 179

The list of prime factors of all numbers are

Prime factors of 977 are 977

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 338 are 2 x 13 x 13

Prime factors of 179 are 179

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

Steps to Calculate GCD of 977, 112, 338, 179 using LCM Formula

Given numbers are 977, 112, 338, 179

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

Apply this formula for all numbers.

Step1:

LCM(977, 112) = 109424

GCD(977, 112) = ( 977 x 112 ) / 109424

= 977 / 112

= 977


Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


Step3:

LCM(1, 179) = 179

GCD(1, 179) = ( 1 x 179 ) / 179

= 1 / 179

= 1


So, Greatest Common Divisor of 977, 112, 338, 179 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 977, 112, 338, 179

Given numbers are 977, 112, 338, 179
The greatest common divisor of numbers 977, 112, 338, 179 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 112, 338, 179 is 1.

FAQs on GCD of 977, 112, 338, 179 Calculator

1. What is the GCD of 977, 112, 338, 179?

GCD of given numbers 977, 112, 338, 179 is 1


2. How to calculate the greatest common divisor of 977, 112, 338, 179?

We can find the highest common divisor of 977, 112, 338, 179 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, 112, 338, 179 i.e 1.


3. How can I use the GCD of 977, 112, 338, 179Calculator?

Out the numbers 977, 112, 338, 179 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.