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GCD of 180, 977, 690, 448 Calculator

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


Online GCD Calculator is useful to find the GCD of 180, 977, 690, 448 quickly. Get the easiest ways to solve the greatest common divisor of 180, 977, 690, 448 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 977, 690, 448 with Factoring?

Given Input numbers are 180, 977, 690, 448

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 977 :

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

1, 977

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (180, 977, 690, 448) = 1.

Find GCD of 180, 977, 690, 448 using Prime Factorization

Given numbers are 180, 977, 690, 448

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 977 are 977

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 180, 977, 690, 448 using LCM Formula

Given numbers are 180, 977, 690, 448

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

Apply this formula for all numbers.

Step1:

LCM(180, 977) = 175860

GCD(180, 977) = ( 180 x 977 ) / 175860

= 180 / 977

= 180


Step2:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1


Step3:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1


So, Greatest Common Divisor of 180, 977, 690, 448 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 977, 690, 448

Given numbers are 180, 977, 690, 448
The greatest common divisor of numbers 180, 977, 690, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 977, 690, 448 is 1.

FAQs on GCD of 180, 977, 690, 448 Calculator

1. What is the GCD of 180, 977, 690, 448?

GCD of given numbers 180, 977, 690, 448 is 1


2. How to calculate the greatest common divisor of 180, 977, 690, 448?

We can find the highest common divisor of 180, 977, 690, 448 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 180, 977, 690, 448 i.e 1.


3. How can I use the GCD of 180, 977, 690, 448Calculator?

Out the numbers 180, 977, 690, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.