GCD of 975, 870, 741, 660 Calculator

Given Input numbers are 975, 870, 741, 660

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

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (975, 870, 741, 660) = 3.

Given numbers are 975, 870, 741, 660

The list of prime factors of all numbers are

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

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

Prime factors of 741 are 3 x 13 x 19

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 975, 870, 741, 660 is 3.

Given numbers are 975, 870, 741, 660

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

Apply this formula for all numbers.

Step1:

LCM(975, 870) = 56550

GCD(975, 870) = ( 975 x 870 ) / 56550

= 975 / 870

= 975

Step2:

LCM(15, 741) = 3705

GCD(15, 741) = ( 15 x 741 ) / 3705

= 15 / 741

= 15

Step3:

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

= 3 / 660

= 3

So, Greatest Common Divisor of 975, 870, 741, 660 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 335, 568, 633
• GCD of 844, 527, 192, 422
• GCD of 294, 843, 739, 316
• GCD of 425, 431, 738, 686
• GCD of 636, 938, 717, 809

Given numbers are 975, 870, 741, 660
The greatest common divisor of numbers 975, 870, 741, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 870, 741, 660 is 3.

1. What is the GCD of 975, 870, 741, 660?

GCD of given numbers 975, 870, 741, 660 is 3

2. How to calculate the greatest common divisor of 975, 870, 741, 660?

We can find the highest common divisor of 975, 870, 741, 660 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 975, 870, 741, 660 i.e 3.

3. How can I use the GCD of 975, 870, 741, 660Calculator?

Out the numbers 975, 870, 741, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.