GCD of 268, 251, 676, 748 Calculator

Given Input numbers are 268, 251, 676, 748

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 251 :

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

1, 251

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (268, 251, 676, 748) = 1.

Given numbers are 268, 251, 676, 748

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 251 are 251

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 268, 251, 676, 748

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

Apply this formula for all numbers.

Step1:

LCM(268, 251) = 67268

GCD(268, 251) = ( 268 x 251 ) / 67268

= 268 / 251

= 268

Step2:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 268, 251, 676, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 175, 929, 110
• GCD of 307, 271, 884, 386
• GCD of 169, 941, 664, 110
• GCD of 128, 201, 932, 489
• GCD of 215, 730, 948, 832

Given numbers are 268, 251, 676, 748
The greatest common divisor of numbers 268, 251, 676, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 251, 676, 748 is 1.

1. What is the GCD of 268, 251, 676, 748?

GCD of given numbers 268, 251, 676, 748 is 1

2. How to calculate the greatest common divisor of 268, 251, 676, 748?

We can find the highest common divisor of 268, 251, 676, 748 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 268, 251, 676, 748 i.e 1.

3. How can I use the GCD of 268, 251, 676, 748Calculator?

Out the numbers 268, 251, 676, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.