GCD of 564, 153, 675, 731 Calculator

Given Input numbers are 564, 153, 675, 731

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (564, 153, 675, 731) = 1.

Given numbers are 564, 153, 675, 731

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 153 are 3 x 3 x 17

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 731 are 17 x 43

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 564, 153, 675, 731

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

Apply this formula for all numbers.

Step1:

LCM(564, 153) = 28764

GCD(564, 153) = ( 564 x 153 ) / 28764

= 564 / 153

= 564

Step2:

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

= 3 / 675

= 3

Step3:

LCM(3, 731) = 2193

GCD(3, 731) = ( 3 x 731 ) / 2193

= 3 / 731

= 3

So, Greatest Common Divisor of 564, 153, 675, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 345, 867, 126
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• GCD of 743, 684, 991, 927
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• GCD of 996, 129, 397, 884

Given numbers are 564, 153, 675, 731
The greatest common divisor of numbers 564, 153, 675, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 153, 675, 731 is 1.

1. What is the GCD of 564, 153, 675, 731?

GCD of given numbers 564, 153, 675, 731 is 1

2. How to calculate the greatest common divisor of 564, 153, 675, 731?

We can find the highest common divisor of 564, 153, 675, 731 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 564, 153, 675, 731 i.e 1.

3. How can I use the GCD of 564, 153, 675, 731Calculator?

Out the numbers 564, 153, 675, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.