GCD of 996, 109, 149, 968 Calculator

Given Input numbers are 996, 109, 149, 968

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

GCD of numbers is the greatest common divisor

So, the GCD (996, 109, 149, 968) = 1.

Given numbers are 996, 109, 149, 968

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 109 are 109

Prime factors of 149 are 149

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

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

Given numbers are 996, 109, 149, 968

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

Apply this formula for all numbers.

Step1:

LCM(996, 109) = 108564

GCD(996, 109) = ( 996 x 109 ) / 108564

= 996 / 109

= 996

Step2:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

Step3:

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

= 1 / 968

= 1

So, Greatest Common Divisor of 996, 109, 149, 968 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 523, 616, 585
• GCD of 976, 451, 800, 223
• GCD of 288, 761, 514, 701
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• GCD of 561, 612, 413, 690

Given numbers are 996, 109, 149, 968
The greatest common divisor of numbers 996, 109, 149, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 109, 149, 968 is 1.

1. What is the GCD of 996, 109, 149, 968?

GCD of given numbers 996, 109, 149, 968 is 1

2. How to calculate the greatest common divisor of 996, 109, 149, 968?

We can find the highest common divisor of 996, 109, 149, 968 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 996, 109, 149, 968 i.e 1.

3. How can I use the GCD of 996, 109, 149, 968Calculator?

Out the numbers 996, 109, 149, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.