GCD of 567, 132, 945, 474 Calculator

Given Input numbers are 567, 132, 945, 474

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (567, 132, 945, 474) = 3.

Given numbers are 567, 132, 945, 474

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 132 are 2 x 2 x 3 x 11

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

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 567, 132, 945, 474 is 3.

Given numbers are 567, 132, 945, 474

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

Apply this formula for all numbers.

Step1:

LCM(567, 132) = 24948

GCD(567, 132) = ( 567 x 132 ) / 24948

= 567 / 132

= 567

Step2:

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

= 3 / 945

= 3

Step3:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

So, Greatest Common Divisor of 567, 132, 945, 474 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 672, 667, 756
• GCD of 702, 516, 427, 596
• GCD of 674, 636, 625, 493
• GCD of 681, 943, 310, 671
• GCD of 178, 992, 434, 634

Given numbers are 567, 132, 945, 474
The greatest common divisor of numbers 567, 132, 945, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 132, 945, 474 is 3.

1. What is the GCD of 567, 132, 945, 474?

GCD of given numbers 567, 132, 945, 474 is 3

2. How to calculate the greatest common divisor of 567, 132, 945, 474?

We can find the highest common divisor of 567, 132, 945, 474 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, 132, 945, 474 i.e 3.

3. How can I use the GCD of 567, 132, 945, 474Calculator?

Out the numbers 567, 132, 945, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.