GCD of 750, 675, 460, 684 Calculator

Given Input numbers are 750, 675, 460, 684

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (750, 675, 460, 684) = 1.

Given numbers are 750, 675, 460, 684

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 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 750, 675, 460, 684

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

Apply this formula for all numbers.

Step1:

LCM(750, 675) = 6750

GCD(750, 675) = ( 750 x 675 ) / 6750

= 750 / 675

= 750

Step2:

LCM(75, 460) = 6900

GCD(75, 460) = ( 75 x 460 ) / 6900

= 75 / 460

= 75

Step3:

LCM(5, 684) = 3420

GCD(5, 684) = ( 5 x 684 ) / 3420

= 5 / 684

= 5

So, Greatest Common Divisor of 750, 675, 460, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 523, 383, 302
• GCD of 613, 845, 316, 920
• GCD of 363, 780, 182, 408
• GCD of 782, 260, 789, 814
• GCD of 140, 332, 382, 521

Given numbers are 750, 675, 460, 684
The greatest common divisor of numbers 750, 675, 460, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 675, 460, 684 is 1.

1. What is the GCD of 750, 675, 460, 684?

GCD of given numbers 750, 675, 460, 684 is 1

2. How to calculate the greatest common divisor of 750, 675, 460, 684?

We can find the highest common divisor of 750, 675, 460, 684 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, 675, 460, 684 i.e 1.

3. How can I use the GCD of 750, 675, 460, 684Calculator?

Out the numbers 750, 675, 460, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.