GCD of 420, 240, 967, 311 Calculator

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.

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

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

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 676, 851, 308
• GCD of 983, 705, 126, 129
• GCD of 753, 250, 476, 260
• GCD of 885, 339, 705, 344
• GCD of 838, 473, 503, 142

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.

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.