GCD of 837, 969, 948, 918 Calculator

Given Input numbers are 837, 969, 948, 918

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

Divisors of 837 :

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

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (837, 969, 948, 918) = 3.

Given numbers are 837, 969, 948, 918

The list of prime factors of all numbers are

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

Prime factors of 969 are 3 x 17 x 19

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 837, 969, 948, 918 is 3.

Given numbers are 837, 969, 948, 918

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

Apply this formula for all numbers.

Step1:

LCM(837, 969) = 270351

GCD(837, 969) = ( 837 x 969 ) / 270351

= 837 / 969

= 837

Step2:

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

= 3 / 948

= 3

Step3:

LCM(3, 918) = 918

GCD(3, 918) = ( 3 x 918 ) / 918

= 3 / 918

= 3

So, Greatest Common Divisor of 837, 969, 948, 918 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 678, 467, 213
• GCD of 396, 921, 651, 828
• GCD of 624, 109, 842, 169
• GCD of 287, 726, 995, 544
• GCD of 578, 756, 817, 645

Given numbers are 837, 969, 948, 918
The greatest common divisor of numbers 837, 969, 948, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 837, 969, 948, 918 is 3.

1. What is the GCD of 837, 969, 948, 918?

GCD of given numbers 837, 969, 948, 918 is 3

2. How to calculate the greatest common divisor of 837, 969, 948, 918?

We can find the highest common divisor of 837, 969, 948, 918 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 837, 969, 948, 918 i.e 3.

3. How can I use the GCD of 837, 969, 948, 918Calculator?

Out the numbers 837, 969, 948, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.