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GCD of 870, 147, 562, 180 Calculator

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


Online GCD Calculator is useful to find the GCD of 870, 147, 562, 180 quickly. Get the easiest ways to solve the greatest common divisor of 870, 147, 562, 180 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 870, 147, 562, 180 with Factoring?

Given Input numbers are 870, 147, 562, 180

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

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


GCD of numbers is the greatest common divisor

So, the GCD (870, 147, 562, 180) = 1.

Find GCD of 870, 147, 562, 180 using Prime Factorization

Given numbers are 870, 147, 562, 180

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 147 are 3 x 7 x 7

Prime factors of 562 are 2 x 281

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

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

Steps to Calculate GCD of 870, 147, 562, 180 using LCM Formula

Given numbers are 870, 147, 562, 180

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

Apply this formula for all numbers.

Step1:

LCM(870, 147) = 42630

GCD(870, 147) = ( 870 x 147 ) / 42630

= 870 / 147

= 870


Step2:

LCM(3, 562) = 1686

GCD(3, 562) = ( 3 x 562 ) / 1686

= 3 / 562

= 3


Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1


So, Greatest Common Divisor of 870, 147, 562, 180 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 870, 147, 562, 180

Given numbers are 870, 147, 562, 180
The greatest common divisor of numbers 870, 147, 562, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 147, 562, 180 is 1.

FAQs on GCD of 870, 147, 562, 180 Calculator

1. What is the GCD of 870, 147, 562, 180?

GCD of given numbers 870, 147, 562, 180 is 1


2. How to calculate the greatest common divisor of 870, 147, 562, 180?

We can find the highest common divisor of 870, 147, 562, 180 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 870, 147, 562, 180 i.e 1.


3. How can I use the GCD of 870, 147, 562, 180Calculator?

Out the numbers 870, 147, 562, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.