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GCD of 947, 400, 135, 660 Calculator

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


Online GCD Calculator is useful to find the GCD of 947, 400, 135, 660 quickly. Get the easiest ways to solve the greatest common divisor of 947, 400, 135, 660 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 947, 400, 135, 660 with Factoring?

Given Input numbers are 947, 400, 135, 660

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

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660


GCD of numbers is the greatest common divisor

So, the GCD (947, 400, 135, 660) = 1.

Find GCD of 947, 400, 135, 660 using Prime Factorization

Given numbers are 947, 400, 135, 660

The list of prime factors of all numbers are

Prime factors of 947 are 947

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Steps to Calculate GCD of 947, 400, 135, 660 using LCM Formula

Given numbers are 947, 400, 135, 660

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

Apply this formula for all numbers.

Step1:

LCM(947, 400) = 378800

GCD(947, 400) = ( 947 x 400 ) / 378800

= 947 / 400

= 947


Step2:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1


Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1


So, Greatest Common Divisor of 947, 400, 135, 660 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 947, 400, 135, 660

Given numbers are 947, 400, 135, 660
The greatest common divisor of numbers 947, 400, 135, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 947, 400, 135, 660 is 1.

FAQs on GCD of 947, 400, 135, 660 Calculator

1. What is the GCD of 947, 400, 135, 660?

GCD of given numbers 947, 400, 135, 660 is 1


2. How to calculate the greatest common divisor of 947, 400, 135, 660?

We can find the highest common divisor of 947, 400, 135, 660 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 947, 400, 135, 660 i.e 1.


3. How can I use the GCD of 947, 400, 135, 660Calculator?

Out the numbers 947, 400, 135, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.