GCD of 567, 957, 960, 678 Calculator

Given Input numbers are 567, 957, 960, 678

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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 (567, 957, 960, 678) = 3.

Given numbers are 567, 957, 960, 678

The list of prime factors of all numbers are

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 957 are 3 x 11 x 29

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 567, 957, 960, 678 is 3.

Given numbers are 567, 957, 960, 678

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

Apply this formula for all numbers.

Step1:

LCM(567, 957) = 180873

GCD(567, 957) = ( 567 x 957 ) / 180873

= 567 / 957

= 567

Step2:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

Step3:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

So, Greatest Common Divisor of 567, 957, 960, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 964, 732, 158
• GCD of 941, 860, 285, 771
• GCD of 195, 747, 478, 832
• GCD of 535, 786, 207, 761
• GCD of 860, 410, 989, 637

Given numbers are 567, 957, 960, 678
The greatest common divisor of numbers 567, 957, 960, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 957, 960, 678 is 3.

1. What is the GCD of 567, 957, 960, 678?

GCD of given numbers 567, 957, 960, 678 is 3

2. How to calculate the greatest common divisor of 567, 957, 960, 678?

We can find the highest common divisor of 567, 957, 960, 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 567, 957, 960, 678 i.e 3.

3. How can I use the GCD of 567, 957, 960, 678Calculator?

Out the numbers 567, 957, 960, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.