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GCD of 420, 467, 770, 675 Calculator

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


Online GCD Calculator is useful to find the GCD of 420, 467, 770, 675 quickly. Get the easiest ways to solve the greatest common divisor of 420, 467, 770, 675 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 467, 770, 675 with Factoring?

Given Input numbers are 420, 467, 770, 675

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 467 :

The positive integer divisors of 467 that completely divides 467 are.

1, 467

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675


GCD of numbers is the greatest common divisor

So, the GCD (420, 467, 770, 675) = 1.

Find GCD of 420, 467, 770, 675 using Prime Factorization

Given numbers are 420, 467, 770, 675

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 467 are 467

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Steps to Calculate GCD of 420, 467, 770, 675 using LCM Formula

Given numbers are 420, 467, 770, 675

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

Apply this formula for all numbers.

Step1:

LCM(420, 467) = 196140

GCD(420, 467) = ( 420 x 467 ) / 196140

= 420 / 467

= 420


Step2:

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

= 1 / 770

= 1


Step3:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1


So, Greatest Common Divisor of 420, 467, 770, 675 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 467, 770, 675

Given numbers are 420, 467, 770, 675
The greatest common divisor of numbers 420, 467, 770, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 467, 770, 675 is 1.

FAQs on GCD of 420, 467, 770, 675 Calculator

1. What is the GCD of 420, 467, 770, 675?

GCD of given numbers 420, 467, 770, 675 is 1


2. How to calculate the greatest common divisor of 420, 467, 770, 675?

We can find the highest common divisor of 420, 467, 770, 675 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 420, 467, 770, 675 i.e 1.


3. How can I use the GCD of 420, 467, 770, 675Calculator?

Out the numbers 420, 467, 770, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.