GCD of 945, 375, 756, 321 Calculator

Given Input numbers are 945, 375, 756, 321

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

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 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (945, 375, 756, 321) = 3.

Given numbers are 945, 375, 756, 321

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 375 are 3 x 5 x 5 x 5

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

Prime factors of 321 are 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 945, 375, 756, 321 is 3.

Given numbers are 945, 375, 756, 321

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

Apply this formula for all numbers.

Step1:

LCM(945, 375) = 23625

GCD(945, 375) = ( 945 x 375 ) / 23625

= 945 / 375

= 945

Step2:

LCM(15, 756) = 3780

GCD(15, 756) = ( 15 x 756 ) / 3780

= 15 / 756

= 15

Step3:

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

= 3 / 321

= 3

So, Greatest Common Divisor of 945, 375, 756, 321 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 346, 862, 137
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• GCD of 506, 487, 321, 696
• GCD of 161, 746, 268, 426

Given numbers are 945, 375, 756, 321
The greatest common divisor of numbers 945, 375, 756, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 375, 756, 321 is 3.

1. What is the GCD of 945, 375, 756, 321?

GCD of given numbers 945, 375, 756, 321 is 3

2. How to calculate the greatest common divisor of 945, 375, 756, 321?

We can find the highest common divisor of 945, 375, 756, 321 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 945, 375, 756, 321 i.e 3.

3. How can I use the GCD of 945, 375, 756, 321Calculator?

Out the numbers 945, 375, 756, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.