GCD of 874, 614, 468, 135 Calculator

Given Input numbers are 874, 614, 468, 135

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (874, 614, 468, 135) = 1.

Given numbers are 874, 614, 468, 135

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 614 are 2 x 307

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 874, 614, 468, 135

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

Apply this formula for all numbers.

Step1:

LCM(874, 614) = 268318

GCD(874, 614) = ( 874 x 614 ) / 268318

= 874 / 614

= 874

Step2:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

Step3:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2

So, Greatest Common Divisor of 874, 614, 468, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 500, 114, 247
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Given numbers are 874, 614, 468, 135
The greatest common divisor of numbers 874, 614, 468, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 614, 468, 135 is 1.

1. What is the GCD of 874, 614, 468, 135?

GCD of given numbers 874, 614, 468, 135 is 1

2. How to calculate the greatest common divisor of 874, 614, 468, 135?

We can find the highest common divisor of 874, 614, 468, 135 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 874, 614, 468, 135 i.e 1.

3. How can I use the GCD of 874, 614, 468, 135Calculator?

Out the numbers 874, 614, 468, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.