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GCD of 240, 354, 980, 437 Calculator

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


Online GCD Calculator is useful to find the GCD of 240, 354, 980, 437 quickly. Get the easiest ways to solve the greatest common divisor of 240, 354, 980, 437 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 354, 980, 437 with Factoring?

Given Input numbers are 240, 354, 980, 437

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 437 :

The positive integer divisors of 437 that completely divides 437 are.

1, 19, 23, 437


GCD of numbers is the greatest common divisor

So, the GCD (240, 354, 980, 437) = 1.

Find GCD of 240, 354, 980, 437 using Prime Factorization

Given numbers are 240, 354, 980, 437

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 354 are 2 x 3 x 59

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 437 are 19 x 23

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

Steps to Calculate GCD of 240, 354, 980, 437 using LCM Formula

Given numbers are 240, 354, 980, 437

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

Apply this formula for all numbers.

Step1:

LCM(240, 354) = 14160

GCD(240, 354) = ( 240 x 354 ) / 14160

= 240 / 354

= 240


Step2:

LCM(6, 980) = 2940

GCD(6, 980) = ( 6 x 980 ) / 2940

= 6 / 980

= 6


Step3:

LCM(2, 437) = 874

GCD(2, 437) = ( 2 x 437 ) / 874

= 2 / 437

= 2


So, Greatest Common Divisor of 240, 354, 980, 437 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 354, 980, 437

Given numbers are 240, 354, 980, 437
The greatest common divisor of numbers 240, 354, 980, 437 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 354, 980, 437 is 1.

FAQs on GCD of 240, 354, 980, 437 Calculator

1. What is the GCD of 240, 354, 980, 437?

GCD of given numbers 240, 354, 980, 437 is 1


2. How to calculate the greatest common divisor of 240, 354, 980, 437?

We can find the highest common divisor of 240, 354, 980, 437 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 240, 354, 980, 437 i.e 1.


3. How can I use the GCD of 240, 354, 980, 437Calculator?

Out the numbers 240, 354, 980, 437 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.