GCD of 675, 354, 280, 315 Calculator

Given Input numbers are 675, 354, 280, 315

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 354 :

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

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (675, 354, 280, 315) = 1.

Given numbers are 675, 354, 280, 315

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 354 are 2 x 3 x 59

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 675, 354, 280, 315

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

Apply this formula for all numbers.

Step1:

LCM(675, 354) = 79650

GCD(675, 354) = ( 675 x 354 ) / 79650

= 675 / 354

= 675

Step2:

LCM(3, 280) = 840

GCD(3, 280) = ( 3 x 280 ) / 840

= 3 / 280

= 3

Step3:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

So, Greatest Common Divisor of 675, 354, 280, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 724, 148, 399
• GCD of 727, 201, 650, 442
• GCD of 162, 178, 349, 895
• GCD of 747, 218, 355, 941
• GCD of 474, 970, 638, 749

Given numbers are 675, 354, 280, 315
The greatest common divisor of numbers 675, 354, 280, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 354, 280, 315 is 1.

1. What is the GCD of 675, 354, 280, 315?

GCD of given numbers 675, 354, 280, 315 is 1

2. How to calculate the greatest common divisor of 675, 354, 280, 315?

We can find the highest common divisor of 675, 354, 280, 315 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, 354, 280, 315 i.e 1.

3. How can I use the GCD of 675, 354, 280, 315Calculator?

Out the numbers 675, 354, 280, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.