GCD of 564, 248, 404, 152 Calculator

Given Input numbers are 564, 248, 404, 152

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 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

GCD of numbers is the greatest common divisor

So, the GCD (564, 248, 404, 152) = 4.

Given numbers are 564, 248, 404, 152

The list of prime factors of all numbers are

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

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 404 are 2 x 2 x 101

Prime factors of 152 are 2 x 2 x 2 x 19

The highest common occurrence is 2²

Therefore, GCD of 564, 248, 404, 152 is 4.

Given numbers are 564, 248, 404, 152

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

Apply this formula for all numbers.

Step1:

LCM(564, 248) = 34968

GCD(564, 248) = ( 564 x 248 ) / 34968

= 564 / 248

= 564

Step2:

LCM(4, 404) = 404

GCD(4, 404) = ( 4 x 404 ) / 404

= 4 / 404

= 4

Step3:

LCM(4, 152) = 152

GCD(4, 152) = ( 4 x 152 ) / 152

= 4 / 152

= 4

So, Greatest Common Divisor of 564, 248, 404, 152 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 824, 460, 500
• GCD of 983, 721, 819, 909
• GCD of 463, 750, 761, 118
• GCD of 760, 341, 821, 274
• GCD of 352, 613, 644, 634

Given numbers are 564, 248, 404, 152
The greatest common divisor of numbers 564, 248, 404, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 248, 404, 152 is 4.

1. What is the GCD of 564, 248, 404, 152?

GCD of given numbers 564, 248, 404, 152 is 4

2. How to calculate the greatest common divisor of 564, 248, 404, 152?

We can find the highest common divisor of 564, 248, 404, 152 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, 248, 404, 152 i.e 4.

3. How can I use the GCD of 564, 248, 404, 152Calculator?

Out the numbers 564, 248, 404, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.