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GCD of 400, 649, 120, 815 Calculator

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


Online GCD Calculator is useful to find the GCD of 400, 649, 120, 815 quickly. Get the easiest ways to solve the greatest common divisor of 400, 649, 120, 815 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 400, 649, 120, 815 with Factoring?

Given Input numbers are 400, 649, 120, 815

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

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 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815


GCD of numbers is the greatest common divisor

So, the GCD (400, 649, 120, 815) = 1.

Find GCD of 400, 649, 120, 815 using Prime Factorization

Given numbers are 400, 649, 120, 815

The list of prime factors of all numbers are

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

Prime factors of 649 are 11 x 59

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 815 are 5 x 163

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

Steps to Calculate GCD of 400, 649, 120, 815 using LCM Formula

Given numbers are 400, 649, 120, 815

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

Apply this formula for all numbers.

Step1:

LCM(400, 649) = 259600

GCD(400, 649) = ( 400 x 649 ) / 259600

= 400 / 649

= 400


Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1


Step3:

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

= 1 / 815

= 1


So, Greatest Common Divisor of 400, 649, 120, 815 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 400, 649, 120, 815

Given numbers are 400, 649, 120, 815
The greatest common divisor of numbers 400, 649, 120, 815 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 649, 120, 815 is 1.

FAQs on GCD of 400, 649, 120, 815 Calculator

1. What is the GCD of 400, 649, 120, 815?

GCD of given numbers 400, 649, 120, 815 is 1


2. How to calculate the greatest common divisor of 400, 649, 120, 815?

We can find the highest common divisor of 400, 649, 120, 815 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 400, 649, 120, 815 i.e 1.


3. How can I use the GCD of 400, 649, 120, 815Calculator?

Out the numbers 400, 649, 120, 815 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.