GCD of 100, 949, 944, 972 Calculator

Given Input numbers are 100, 949, 944, 972

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (100, 949, 944, 972) = 1.

Given numbers are 100, 949, 944, 972

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 949 are 13 x 73

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 100, 949, 944, 972

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

Apply this formula for all numbers.

Step1:

LCM(100, 949) = 94900

GCD(100, 949) = ( 100 x 949 ) / 94900

= 100 / 949

= 100

Step2:

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

= 1 / 944

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 100, 949, 944, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 922, 323, 953
• GCD of 362, 600, 517, 207
• GCD of 201, 857, 729, 806
• GCD of 633, 861, 517, 649
• GCD of 319, 669, 738, 758

Given numbers are 100, 949, 944, 972
The greatest common divisor of numbers 100, 949, 944, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 949, 944, 972 is 1.

1. What is the GCD of 100, 949, 944, 972?

GCD of given numbers 100, 949, 944, 972 is 1

2. How to calculate the greatest common divisor of 100, 949, 944, 972?

We can find the highest common divisor of 100, 949, 944, 972 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 100, 949, 944, 972 i.e 1.

3. How can I use the GCD of 100, 949, 944, 972Calculator?

Out the numbers 100, 949, 944, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.