GCD of 516, 952, 30, 350 Calculator

Given Input numbers are 516, 952, 30, 350

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

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 (516, 952, 30, 350) = 2.

Given numbers are 516, 952, 30, 350

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

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

Prime factors of 30 are 2 x 3 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 516, 952, 30, 350 is 2.

Given numbers are 516, 952, 30, 350

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

Apply this formula for all numbers.

Step1:

LCM(516, 952) = 122808

GCD(516, 952) = ( 516 x 952 ) / 122808

= 516 / 952

= 516

Step2:

LCM(4, 30) = 60

GCD(4, 30) = ( 4 x 30 ) / 60

= 4 / 30

= 4

Step3:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

So, Greatest Common Divisor of 516, 952, 30, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 395, 36, 587
• GCD of 769, 467, 86, 991
• GCD of 792, 576, 67, 310
• GCD of 521, 249, 33, 816
• GCD of 141, 690, 36, 196

Given numbers are 516, 952, 30, 350
The greatest common divisor of numbers 516, 952, 30, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 952, 30, 350 is 2.

1. What is the GCD of 516, 952, 30, 350?

GCD of given numbers 516, 952, 30, 350 is 2

2. How to calculate the greatest common divisor of 516, 952, 30, 350?

We can find the highest common divisor of 516, 952, 30, 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 516, 952, 30, 350 i.e 2.

3. How can I use the GCD of 516, 952, 30, 350Calculator?

Out the numbers 516, 952, 30, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.