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GCD of 420, 678, 763, 954 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, 678, 763, 954 quickly. Get the easiest ways to solve the greatest common divisor of 420, 678, 763, 954 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 678, 763, 954 with Factoring?

Given Input numbers are 420, 678, 763, 954

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954


GCD of numbers is the greatest common divisor

So, the GCD (420, 678, 763, 954) = 1.

Find GCD of 420, 678, 763, 954 using Prime Factorization

Given numbers are 420, 678, 763, 954

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 678 are 2 x 3 x 113

Prime factors of 763 are 7 x 109

Prime factors of 954 are 2 x 3 x 3 x 53

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

Steps to Calculate GCD of 420, 678, 763, 954 using LCM Formula

Given numbers are 420, 678, 763, 954

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

Apply this formula for all numbers.

Step1:

LCM(420, 678) = 47460

GCD(420, 678) = ( 420 x 678 ) / 47460

= 420 / 678

= 420


Step2:

LCM(6, 763) = 4578

GCD(6, 763) = ( 6 x 763 ) / 4578

= 6 / 763

= 6


Step3:

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

= 1 / 954

= 1


So, Greatest Common Divisor of 420, 678, 763, 954 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 678, 763, 954

Given numbers are 420, 678, 763, 954
The greatest common divisor of numbers 420, 678, 763, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 678, 763, 954 is 1.

FAQs on GCD of 420, 678, 763, 954 Calculator

1. What is the GCD of 420, 678, 763, 954?

GCD of given numbers 420, 678, 763, 954 is 1


2. How to calculate the greatest common divisor of 420, 678, 763, 954?

We can find the highest common divisor of 420, 678, 763, 954 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, 678, 763, 954 i.e 1.


3. How can I use the GCD of 420, 678, 763, 954Calculator?

Out the numbers 420, 678, 763, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.