GCD of 750, 598, 132, 678 Calculator

Given Input numbers are 750, 598, 132, 678

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

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (750, 598, 132, 678) = 2.

Given numbers are 750, 598, 132, 678

The list of prime factors of all numbers are

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 598 are 2 x 13 x 23

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 750, 598, 132, 678 is 2.

Given numbers are 750, 598, 132, 678

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

Apply this formula for all numbers.

Step1:

LCM(750, 598) = 224250

GCD(750, 598) = ( 750 x 598 ) / 224250

= 750 / 598

= 750

Step2:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

Step3:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

So, Greatest Common Divisor of 750, 598, 132, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 634, 445, 354
• GCD of 768, 674, 553, 461
• GCD of 839, 128, 207, 882
• GCD of 843, 796, 423, 854
• GCD of 113, 215, 703, 566

Given numbers are 750, 598, 132, 678
The greatest common divisor of numbers 750, 598, 132, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 598, 132, 678 is 2.

1. What is the GCD of 750, 598, 132, 678?

GCD of given numbers 750, 598, 132, 678 is 2

2. How to calculate the greatest common divisor of 750, 598, 132, 678?

We can find the highest common divisor of 750, 598, 132, 678 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 750, 598, 132, 678 i.e 2.

3. How can I use the GCD of 750, 598, 132, 678Calculator?

Out the numbers 750, 598, 132, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.