GCD of 969, 756, 159, 735 Calculator

Given Input numbers are 969, 756, 159, 735

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

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 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (969, 756, 159, 735) = 3.

Given numbers are 969, 756, 159, 735

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

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

Prime factors of 159 are 3 x 53

Prime factors of 735 are 3 x 5 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 969, 756, 159, 735 is 3.

Given numbers are 969, 756, 159, 735

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

Apply this formula for all numbers.

Step1:

LCM(969, 756) = 244188

GCD(969, 756) = ( 969 x 756 ) / 244188

= 969 / 756

= 969

Step2:

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

= 3 / 159

= 3

Step3:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

So, Greatest Common Divisor of 969, 756, 159, 735 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 692, 722, 887
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Given numbers are 969, 756, 159, 735
The greatest common divisor of numbers 969, 756, 159, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 756, 159, 735 is 3.

1. What is the GCD of 969, 756, 159, 735?

GCD of given numbers 969, 756, 159, 735 is 3

2. How to calculate the greatest common divisor of 969, 756, 159, 735?

We can find the highest common divisor of 969, 756, 159, 735 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 969, 756, 159, 735 i.e 3.

3. How can I use the GCD of 969, 756, 159, 735Calculator?

Out the numbers 969, 756, 159, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.