GCD of 864, 942, 48, 837 Calculator

Given Input numbers are 864, 942, 48, 837

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 942 :

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

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

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

GCD of numbers is the greatest common divisor

So, the GCD (864, 942, 48, 837) = 3.

Given numbers are 864, 942, 48, 837

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 942 are 2 x 3 x 157

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 837 are 3 x 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 864, 942, 48, 837 is 3.

Given numbers are 864, 942, 48, 837

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

Apply this formula for all numbers.

Step1:

LCM(864, 942) = 135648

GCD(864, 942) = ( 864 x 942 ) / 135648

= 864 / 942

= 864

Step2:

LCM(6, 48) = 48

GCD(6, 48) = ( 6 x 48 ) / 48

= 6 / 48

= 6

Step3:

LCM(6, 837) = 1674

GCD(6, 837) = ( 6 x 837 ) / 1674

= 6 / 837

= 6

So, Greatest Common Divisor of 864, 942, 48, 837 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 733, 89, 540
• GCD of 198, 396, 18, 315
• GCD of 756, 643, 55, 869
• GCD of 929, 205, 93, 397
• GCD of 494, 485, 64, 396

Given numbers are 864, 942, 48, 837
The greatest common divisor of numbers 864, 942, 48, 837 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 942, 48, 837 is 3.

1. What is the GCD of 864, 942, 48, 837?

GCD of given numbers 864, 942, 48, 837 is 3

2. How to calculate the greatest common divisor of 864, 942, 48, 837?

We can find the highest common divisor of 864, 942, 48, 837 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 864, 942, 48, 837 i.e 3.

3. How can I use the GCD of 864, 942, 48, 837Calculator?

Out the numbers 864, 942, 48, 837 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.