GCD of 267, 675, 676, 354 Calculator

Given Input numbers are 267, 675, 676, 354

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (267, 675, 676, 354) = 1.

Given numbers are 267, 675, 676, 354

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Prime factors of 354 are 2 x 3 x 59

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

Given numbers are 267, 675, 676, 354

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

Apply this formula for all numbers.

Step1:

LCM(267, 675) = 60075

GCD(267, 675) = ( 267 x 675 ) / 60075

= 267 / 675

= 267

Step2:

LCM(3, 676) = 2028

GCD(3, 676) = ( 3 x 676 ) / 2028

= 3 / 676

= 3

Step3:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1

So, Greatest Common Divisor of 267, 675, 676, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 324, 321, 196
• GCD of 131, 816, 897, 349
• GCD of 749, 129, 793, 644
• GCD of 698, 333, 926, 554
• GCD of 302, 887, 913, 172

Given numbers are 267, 675, 676, 354
The greatest common divisor of numbers 267, 675, 676, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 675, 676, 354 is 1.

1. What is the GCD of 267, 675, 676, 354?

GCD of given numbers 267, 675, 676, 354 is 1

2. How to calculate the greatest common divisor of 267, 675, 676, 354?

We can find the highest common divisor of 267, 675, 676, 354 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, 675, 676, 354 i.e 1.

3. How can I use the GCD of 267, 675, 676, 354Calculator?

Out the numbers 267, 675, 676, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.