GCD of 108, 948, 691, 994 Calculator

Given Input numbers are 108, 948, 691, 994

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (108, 948, 691, 994) = 1.

Given numbers are 108, 948, 691, 994

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

Prime factors of 691 are 691

Prime factors of 994 are 2 x 7 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 108, 948, 691, 994

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

Apply this formula for all numbers.

Step1:

LCM(108, 948) = 8532

GCD(108, 948) = ( 108 x 948 ) / 8532

= 108 / 948

= 108

Step2:

LCM(12, 691) = 8292

GCD(12, 691) = ( 12 x 691 ) / 8292

= 12 / 691

= 12

Step3:

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

= 1 / 994

= 1

So, Greatest Common Divisor of 108, 948, 691, 994 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 691, 728, 587
• GCD of 397, 815, 413, 618
• GCD of 336, 119, 245, 821
• GCD of 824, 674, 820, 547
• GCD of 544, 565, 837, 655

Given numbers are 108, 948, 691, 994
The greatest common divisor of numbers 108, 948, 691, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 948, 691, 994 is 1.

1. What is the GCD of 108, 948, 691, 994?

GCD of given numbers 108, 948, 691, 994 is 1

2. How to calculate the greatest common divisor of 108, 948, 691, 994?

We can find the highest common divisor of 108, 948, 691, 994 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 108, 948, 691, 994 i.e 1.

3. How can I use the GCD of 108, 948, 691, 994Calculator?

Out the numbers 108, 948, 691, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.