GCD of 370, 634, 752, 456 Calculator

Given Input numbers are 370, 634, 752, 456

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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

GCD of numbers is the greatest common divisor

So, the GCD (370, 634, 752, 456) = 2.

Given numbers are 370, 634, 752, 456

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 634 are 2 x 317

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 370, 634, 752, 456 is 2.

Given numbers are 370, 634, 752, 456

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

Apply this formula for all numbers.

Step1:

LCM(370, 634) = 117290

GCD(370, 634) = ( 370 x 634 ) / 117290

= 370 / 634

= 370

Step2:

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

= 2 / 752

= 2

Step3:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2

So, Greatest Common Divisor of 370, 634, 752, 456 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 147, 629, 528
• GCD of 691, 335, 807, 996
• GCD of 127, 313, 346, 797
• GCD of 165, 373, 998, 391
• GCD of 237, 901, 373, 507

Given numbers are 370, 634, 752, 456
The greatest common divisor of numbers 370, 634, 752, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 634, 752, 456 is 2.

1. What is the GCD of 370, 634, 752, 456?

GCD of given numbers 370, 634, 752, 456 is 2

2. How to calculate the greatest common divisor of 370, 634, 752, 456?

We can find the highest common divisor of 370, 634, 752, 456 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 370, 634, 752, 456 i.e 2.

3. How can I use the GCD of 370, 634, 752, 456Calculator?

Out the numbers 370, 634, 752, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.