GCD of 852, 116, 952, 350 Calculator

Given Input numbers are 852, 116, 952, 350

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

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 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (852, 116, 952, 350) = 2.

Given numbers are 852, 116, 952, 350

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 116 are 2 x 2 x 29

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

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 852, 116, 952, 350 is 2.

Given numbers are 852, 116, 952, 350

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

Apply this formula for all numbers.

Step1:

LCM(852, 116) = 24708

GCD(852, 116) = ( 852 x 116 ) / 24708

= 852 / 116

= 852

Step2:

LCM(4, 952) = 952

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

= 4 / 952

= 4

Step3:

LCM(4, 350) = 700

GCD(4, 350) = ( 4 x 350 ) / 700

= 4 / 350

= 4

So, Greatest Common Divisor of 852, 116, 952, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 511, 727, 162
• GCD of 364, 375, 136, 724
• GCD of 943, 796, 786, 417
• GCD of 592, 738, 737, 689
• GCD of 242, 113, 212, 540

Given numbers are 852, 116, 952, 350
The greatest common divisor of numbers 852, 116, 952, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 116, 952, 350 is 2.

1. What is the GCD of 852, 116, 952, 350?

GCD of given numbers 852, 116, 952, 350 is 2

2. How to calculate the greatest common divisor of 852, 116, 952, 350?

We can find the highest common divisor of 852, 116, 952, 350 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 852, 116, 952, 350 i.e 2.

3. How can I use the GCD of 852, 116, 952, 350Calculator?

Out the numbers 852, 116, 952, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.