GCD of 675, 942, 274, 687 Calculator

Given Input numbers are 675, 942, 274, 687

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

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 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (675, 942, 274, 687) = 1.

Given numbers are 675, 942, 274, 687

The list of prime factors of all numbers are

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

Prime factors of 942 are 2 x 3 x 157

Prime factors of 274 are 2 x 137

Prime factors of 687 are 3 x 229

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

Given numbers are 675, 942, 274, 687

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

Apply this formula for all numbers.

Step1:

LCM(675, 942) = 211950

GCD(675, 942) = ( 675 x 942 ) / 211950

= 675 / 942

= 675

Step2:

LCM(3, 274) = 822

GCD(3, 274) = ( 3 x 274 ) / 822

= 3 / 274

= 3

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 675, 942, 274, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 154, 453, 287
• GCD of 791, 284, 758, 521
• GCD of 737, 961, 829, 470
• GCD of 343, 535, 972, 638
• GCD of 628, 100, 952, 125

Given numbers are 675, 942, 274, 687
The greatest common divisor of numbers 675, 942, 274, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 942, 274, 687 is 1.

1. What is the GCD of 675, 942, 274, 687?

GCD of given numbers 675, 942, 274, 687 is 1

2. How to calculate the greatest common divisor of 675, 942, 274, 687?

We can find the highest common divisor of 675, 942, 274, 687 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 675, 942, 274, 687 i.e 1.

3. How can I use the GCD of 675, 942, 274, 687Calculator?

Out the numbers 675, 942, 274, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.