GCD of 140, 156, 272, 315 Calculator

Given Input numbers are 140, 156, 272, 315

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 (140, 156, 272, 315) = 1.

Given numbers are 140, 156, 272, 315

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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 140, 156, 272, 315

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

Apply this formula for all numbers.

Step1:

LCM(140, 156) = 5460

GCD(140, 156) = ( 140 x 156 ) / 5460

= 140 / 156

= 140

Step2:

LCM(4, 272) = 272

GCD(4, 272) = ( 4 x 272 ) / 272

= 4 / 272

= 4

Step3:

LCM(4, 315) = 1260

GCD(4, 315) = ( 4 x 315 ) / 1260

= 4 / 315

= 4

So, Greatest Common Divisor of 140, 156, 272, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 440, 715, 676
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Given numbers are 140, 156, 272, 315
The greatest common divisor of numbers 140, 156, 272, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 156, 272, 315 is 1.

1. What is the GCD of 140, 156, 272, 315?

GCD of given numbers 140, 156, 272, 315 is 1

2. How to calculate the greatest common divisor of 140, 156, 272, 315?

We can find the highest common divisor of 140, 156, 272, 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 140, 156, 272, 315 i.e 1.

3. How can I use the GCD of 140, 156, 272, 315Calculator?

Out the numbers 140, 156, 272, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.