GCD of 992, 420, 360, 267 Calculator

Given Input numbers are 992, 420, 360, 267

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

GCD of numbers is the greatest common divisor

So, the GCD (992, 420, 360, 267) = 1.

Given numbers are 992, 420, 360, 267

The list of prime factors of all numbers are

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 267 are 3 x 89

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

Given numbers are 992, 420, 360, 267

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

Apply this formula for all numbers.

Step1:

LCM(992, 420) = 104160

GCD(992, 420) = ( 992 x 420 ) / 104160

= 992 / 420

= 992

Step2:

LCM(4, 360) = 360

GCD(4, 360) = ( 4 x 360 ) / 360

= 4 / 360

= 4

Step3:

LCM(4, 267) = 1068

GCD(4, 267) = ( 4 x 267 ) / 1068

= 4 / 267

= 4

So, Greatest Common Divisor of 992, 420, 360, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 147, 335, 452
• GCD of 186, 839, 278, 147
• GCD of 218, 658, 366, 270
• GCD of 841, 488, 644, 267
• GCD of 438, 475, 796, 674

Given numbers are 992, 420, 360, 267
The greatest common divisor of numbers 992, 420, 360, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 420, 360, 267 is 1.

1. What is the GCD of 992, 420, 360, 267?

GCD of given numbers 992, 420, 360, 267 is 1

2. How to calculate the greatest common divisor of 992, 420, 360, 267?

We can find the highest common divisor of 992, 420, 360, 267 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 992, 420, 360, 267 i.e 1.

3. How can I use the GCD of 992, 420, 360, 267Calculator?

Out the numbers 992, 420, 360, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.