GCD of 756, 964, 270, 690 Calculator

Given Input numbers are 756, 964, 270, 690

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (756, 964, 270, 690) = 2.

Given numbers are 756, 964, 270, 690

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 964 are 2 x 2 x 241

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 756, 964, 270, 690 is 2.

Given numbers are 756, 964, 270, 690

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

Apply this formula for all numbers.

Step1:

LCM(756, 964) = 182196

GCD(756, 964) = ( 756 x 964 ) / 182196

= 756 / 964

= 756

Step2:

LCM(4, 270) = 540

GCD(4, 270) = ( 4 x 270 ) / 540

= 4 / 270

= 4

Step3:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

So, Greatest Common Divisor of 756, 964, 270, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 474, 334, 465
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Given numbers are 756, 964, 270, 690
The greatest common divisor of numbers 756, 964, 270, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 964, 270, 690 is 2.

1. What is the GCD of 756, 964, 270, 690?

GCD of given numbers 756, 964, 270, 690 is 2

2. How to calculate the greatest common divisor of 756, 964, 270, 690?

We can find the highest common divisor of 756, 964, 270, 690 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 756, 964, 270, 690 i.e 2.

3. How can I use the GCD of 756, 964, 270, 690Calculator?

Out the numbers 756, 964, 270, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.