LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 420, 240, 967, 311 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, 240, 967, 311 quickly. Get the easiest ways to solve the greatest common divisor of 420, 240, 967, 311 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 240, 967, 311 with Factoring?

Given Input numbers are 420, 240, 967, 311

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 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 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311


GCD of numbers is the greatest common divisor

So, the GCD (420, 240, 967, 311) = 1.

Find GCD of 420, 240, 967, 311 using Prime Factorization

Given numbers are 420, 240, 967, 311

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 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 967 are 967

Prime factors of 311 are 311

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

Steps to Calculate GCD of 420, 240, 967, 311 using LCM Formula

Given numbers are 420, 240, 967, 311

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

Apply this formula for all numbers.

Step1:

LCM(420, 240) = 1680

GCD(420, 240) = ( 420 x 240 ) / 1680

= 420 / 240

= 420


Step2:

LCM(60, 967) = 58020

GCD(60, 967) = ( 60 x 967 ) / 58020

= 60 / 967

= 60


Step3:

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

= 1 / 311

= 1


So, Greatest Common Divisor of 420, 240, 967, 311 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 240, 967, 311

Given numbers are 420, 240, 967, 311
The greatest common divisor of numbers 420, 240, 967, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 240, 967, 311 is 1.

FAQs on GCD of 420, 240, 967, 311 Calculator

1. What is the GCD of 420, 240, 967, 311?

GCD of given numbers 420, 240, 967, 311 is 1


2. How to calculate the greatest common divisor of 420, 240, 967, 311?

We can find the highest common divisor of 420, 240, 967, 311 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, 240, 967, 311 i.e 1.


3. How can I use the GCD of 420, 240, 967, 311Calculator?

Out the numbers 420, 240, 967, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.