GCD of 456, 874, 371, 152 Calculator

Given Input numbers are 456, 874, 371, 152

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 874 :

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

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

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

GCD of numbers is the greatest common divisor

So, the GCD (456, 874, 371, 152) = 1.

Given numbers are 456, 874, 371, 152

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 874 are 2 x 19 x 23

Prime factors of 371 are 7 x 53

Prime factors of 152 are 2 x 2 x 2 x 19

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

Given numbers are 456, 874, 371, 152

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

Apply this formula for all numbers.

Step1:

LCM(456, 874) = 10488

GCD(456, 874) = ( 456 x 874 ) / 10488

= 456 / 874

= 456

Step2:

LCM(38, 371) = 14098

GCD(38, 371) = ( 38 x 371 ) / 14098

= 38 / 371

= 38

Step3:

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

= 1 / 152

= 1

So, Greatest Common Divisor of 456, 874, 371, 152 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 438, 756, 569
• GCD of 854, 459, 504, 797
• GCD of 907, 662, 143, 786
• GCD of 223, 351, 567, 995
• GCD of 792, 495, 994, 382

Given numbers are 456, 874, 371, 152
The greatest common divisor of numbers 456, 874, 371, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 874, 371, 152 is 1.

1. What is the GCD of 456, 874, 371, 152?

GCD of given numbers 456, 874, 371, 152 is 1

2. How to calculate the greatest common divisor of 456, 874, 371, 152?

We can find the highest common divisor of 456, 874, 371, 152 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 456, 874, 371, 152 i.e 1.

3. How can I use the GCD of 456, 874, 371, 152Calculator?

Out the numbers 456, 874, 371, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.