GCD of 684, 738, 975, 870 Calculator

Given Input numbers are 684, 738, 975, 870

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

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (684, 738, 975, 870) = 3.

Given numbers are 684, 738, 975, 870

The list of prime factors of all numbers are

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

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 870 are 2 x 3 x 5 x 29

The highest common occurrence is 3¹

Therefore, GCD of 684, 738, 975, 870 is 3.

Given numbers are 684, 738, 975, 870

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

Apply this formula for all numbers.

Step1:

LCM(684, 738) = 28044

GCD(684, 738) = ( 684 x 738 ) / 28044

= 684 / 738

= 684

Step2:

LCM(18, 975) = 5850

GCD(18, 975) = ( 18 x 975 ) / 5850

= 18 / 975

= 18

Step3:

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

= 3 / 870

= 3

So, Greatest Common Divisor of 684, 738, 975, 870 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 981, 736, 485
• GCD of 203, 244, 203, 807
• GCD of 856, 852, 575, 817
• GCD of 435, 184, 484, 416
• GCD of 214, 414, 155, 248

Given numbers are 684, 738, 975, 870
The greatest common divisor of numbers 684, 738, 975, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 738, 975, 870 is 3.

1. What is the GCD of 684, 738, 975, 870?

GCD of given numbers 684, 738, 975, 870 is 3

2. How to calculate the greatest common divisor of 684, 738, 975, 870?

We can find the highest common divisor of 684, 738, 975, 870 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 684, 738, 975, 870 i.e 3.

3. How can I use the GCD of 684, 738, 975, 870Calculator?

Out the numbers 684, 738, 975, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.