GCD of 152, 564, 460, 952 Calculator

Given Input numbers are 152, 564, 460, 952

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

Divisors of 152 :

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

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

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (152, 564, 460, 952) = 4.

Given numbers are 152, 564, 460, 952

The list of prime factors of all numbers are

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

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

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The highest common occurrence is 2²

Therefore, GCD of 152, 564, 460, 952 is 4.

Given numbers are 152, 564, 460, 952

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

Apply this formula for all numbers.

Step1:

LCM(152, 564) = 21432

GCD(152, 564) = ( 152 x 564 ) / 21432

= 152 / 564

= 152

Step2:

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

= 4 / 460

= 4

Step3:

LCM(4, 952) = 952

GCD(4, 952) = ( 4 x 952 ) / 952

= 4 / 952

= 4

So, Greatest Common Divisor of 152, 564, 460, 952 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 589, 482, 724
• GCD of 577, 653, 246, 444
• GCD of 375, 504, 893, 213
• GCD of 283, 312, 568, 210
• GCD of 905, 530, 972, 588

Given numbers are 152, 564, 460, 952
The greatest common divisor of numbers 152, 564, 460, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 564, 460, 952 is 4.

1. What is the GCD of 152, 564, 460, 952?

GCD of given numbers 152, 564, 460, 952 is 4

2. How to calculate the greatest common divisor of 152, 564, 460, 952?

We can find the highest common divisor of 152, 564, 460, 952 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 152, 564, 460, 952 i.e 4.

3. How can I use the GCD of 152, 564, 460, 952Calculator?

Out the numbers 152, 564, 460, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.