GCD of 831, 294, 624, 942 Calculator

Given Input numbers are 831, 294, 624, 942

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (831, 294, 624, 942) = 3.

Given numbers are 831, 294, 624, 942

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 831, 294, 624, 942 is 3.

Given numbers are 831, 294, 624, 942

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

Apply this formula for all numbers.

Step1:

LCM(831, 294) = 81438

GCD(831, 294) = ( 831 x 294 ) / 81438

= 831 / 294

= 831

Step2:

LCM(3, 624) = 624

GCD(3, 624) = ( 3 x 624 ) / 624

= 3 / 624

= 3

Step3:

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

= 3 / 942

= 3

So, Greatest Common Divisor of 831, 294, 624, 942 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 699, 486, 947
• GCD of 252, 734, 263, 407
• GCD of 815, 786, 841, 828
• GCD of 293, 665, 447, 468
• GCD of 999, 366, 979, 265

Given numbers are 831, 294, 624, 942
The greatest common divisor of numbers 831, 294, 624, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 294, 624, 942 is 3.

1. What is the GCD of 831, 294, 624, 942?

GCD of given numbers 831, 294, 624, 942 is 3

2. How to calculate the greatest common divisor of 831, 294, 624, 942?

We can find the highest common divisor of 831, 294, 624, 942 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 831, 294, 624, 942 i.e 3.

3. How can I use the GCD of 831, 294, 624, 942Calculator?

Out the numbers 831, 294, 624, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.