GCD of 952, 508, 212, 800 Calculator

Given Input numbers are 952, 508, 212, 800

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

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (952, 508, 212, 800) = 4.

Given numbers are 952, 508, 212, 800

The list of prime factors of all numbers are

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 212 are 2 x 2 x 53

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 952, 508, 212, 800 is 4.

Given numbers are 952, 508, 212, 800

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

Apply this formula for all numbers.

Step1:

LCM(952, 508) = 120904

GCD(952, 508) = ( 952 x 508 ) / 120904

= 952 / 508

= 952

Step2:

LCM(4, 212) = 212

GCD(4, 212) = ( 4 x 212 ) / 212

= 4 / 212

= 4

Step3:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

So, Greatest Common Divisor of 952, 508, 212, 800 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 972, 527, 546
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Given numbers are 952, 508, 212, 800
The greatest common divisor of numbers 952, 508, 212, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 508, 212, 800 is 4.

1. What is the GCD of 952, 508, 212, 800?

GCD of given numbers 952, 508, 212, 800 is 4

2. How to calculate the greatest common divisor of 952, 508, 212, 800?

We can find the highest common divisor of 952, 508, 212, 800 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 952, 508, 212, 800 i.e 4.

3. How can I use the GCD of 952, 508, 212, 800Calculator?

Out the numbers 952, 508, 212, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.