GCD of 310, 434, 882, 972 Calculator

Given Input numbers are 310, 434, 882, 972

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (310, 434, 882, 972) = 2.

Given numbers are 310, 434, 882, 972

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 434 are 2 x 7 x 31

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 310, 434, 882, 972 is 2.

Given numbers are 310, 434, 882, 972

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

Apply this formula for all numbers.

Step1:

LCM(310, 434) = 2170

GCD(310, 434) = ( 310 x 434 ) / 2170

= 310 / 434

= 310

Step2:

LCM(62, 882) = 27342

GCD(62, 882) = ( 62 x 882 ) / 27342

= 62 / 882

= 62

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 310, 434, 882, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 122, 836, 920
• GCD of 584, 261, 454, 258
• GCD of 954, 442, 375, 701
• GCD of 340, 411, 723, 280
• GCD of 233, 832, 255, 476

Given numbers are 310, 434, 882, 972
The greatest common divisor of numbers 310, 434, 882, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 434, 882, 972 is 2.

1. What is the GCD of 310, 434, 882, 972?

GCD of given numbers 310, 434, 882, 972 is 2

2. How to calculate the greatest common divisor of 310, 434, 882, 972?

We can find the highest common divisor of 310, 434, 882, 972 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 310, 434, 882, 972 i.e 2.

3. How can I use the GCD of 310, 434, 882, 972Calculator?

Out the numbers 310, 434, 882, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.