GCD of 267, 251, 765, 974 Calculator

Given Input numbers are 267, 251, 765, 974

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

Divisors of 267 :

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

1, 3, 89, 267

Divisors of 251 :

The positive integer divisors of 251 that completely divides 251 are.

1, 251

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (267, 251, 765, 974) = 1.

Given numbers are 267, 251, 765, 974

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 251 are 251

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 974 are 2 x 487

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

Given numbers are 267, 251, 765, 974

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

Apply this formula for all numbers.

Step1:

LCM(267, 251) = 67017

GCD(267, 251) = ( 267 x 251 ) / 67017

= 267 / 251

= 267

Step2:

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

= 1 / 765

= 1

Step3:

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

= 1 / 974

= 1

So, Greatest Common Divisor of 267, 251, 765, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 762, 298, 575
• GCD of 807, 407, 838, 852
• GCD of 604, 588, 640, 788
• GCD of 432, 359, 884, 651
• GCD of 379, 938, 508, 468

Given numbers are 267, 251, 765, 974
The greatest common divisor of numbers 267, 251, 765, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 251, 765, 974 is 1.

1. What is the GCD of 267, 251, 765, 974?

GCD of given numbers 267, 251, 765, 974 is 1

2. How to calculate the greatest common divisor of 267, 251, 765, 974?

We can find the highest common divisor of 267, 251, 765, 974 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 267, 251, 765, 974 i.e 1.

3. How can I use the GCD of 267, 251, 765, 974Calculator?

Out the numbers 267, 251, 765, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.