GCD of 315, 356, 464, 274 Calculator

Given Input numbers are 315, 356, 464, 274

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

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 274 :

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

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (315, 356, 464, 274) = 1.

Given numbers are 315, 356, 464, 274

The list of prime factors of all numbers are

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

Prime factors of 356 are 2 x 2 x 89

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 274 are 2 x 137

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

Given numbers are 315, 356, 464, 274

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

Apply this formula for all numbers.

Step1:

LCM(315, 356) = 112140

GCD(315, 356) = ( 315 x 356 ) / 112140

= 315 / 356

= 315

Step2:

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

= 1 / 464

= 1

Step3:

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

= 1 / 274

= 1

So, Greatest Common Divisor of 315, 356, 464, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 756, 294, 924
• GCD of 317, 744, 989, 323
• GCD of 784, 279, 419, 602
• GCD of 852, 856, 979, 864
• GCD of 146, 349, 574, 299

Given numbers are 315, 356, 464, 274
The greatest common divisor of numbers 315, 356, 464, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 356, 464, 274 is 1.

1. What is the GCD of 315, 356, 464, 274?

GCD of given numbers 315, 356, 464, 274 is 1

2. How to calculate the greatest common divisor of 315, 356, 464, 274?

We can find the highest common divisor of 315, 356, 464, 274 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 315, 356, 464, 274 i.e 1.

3. How can I use the GCD of 315, 356, 464, 274Calculator?

Out the numbers 315, 356, 464, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.