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GCD of 470, 507, 948, 921 Calculator

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


Online GCD Calculator is useful to find the GCD of 470, 507, 948, 921 quickly. Get the easiest ways to solve the greatest common divisor of 470, 507, 948, 921 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 470, 507, 948, 921 with Factoring?

Given Input numbers are 470, 507, 948, 921

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921


GCD of numbers is the greatest common divisor

So, the GCD (470, 507, 948, 921) = 1.

Find GCD of 470, 507, 948, 921 using Prime Factorization

Given numbers are 470, 507, 948, 921

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 507 are 3 x 13 x 13

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 921 are 3 x 307

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

Steps to Calculate GCD of 470, 507, 948, 921 using LCM Formula

Given numbers are 470, 507, 948, 921

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

Apply this formula for all numbers.

Step1:

LCM(470, 507) = 238290

GCD(470, 507) = ( 470 x 507 ) / 238290

= 470 / 507

= 470


Step2:

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

= 1 / 948

= 1


Step3:

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

= 1 / 921

= 1


So, Greatest Common Divisor of 470, 507, 948, 921 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 470, 507, 948, 921

Given numbers are 470, 507, 948, 921
The greatest common divisor of numbers 470, 507, 948, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 507, 948, 921 is 1.

FAQs on GCD of 470, 507, 948, 921 Calculator

1. What is the GCD of 470, 507, 948, 921?

GCD of given numbers 470, 507, 948, 921 is 1


2. How to calculate the greatest common divisor of 470, 507, 948, 921?

We can find the highest common divisor of 470, 507, 948, 921 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 470, 507, 948, 921 i.e 1.


3. How can I use the GCD of 470, 507, 948, 921Calculator?

Out the numbers 470, 507, 948, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.