GCD of 379, 960, 100, 974 Calculator

Given Input numbers are 379, 960, 100, 974

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

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (379, 960, 100, 974) = 1.

Given numbers are 379, 960, 100, 974

The list of prime factors of all numbers are

Prime factors of 379 are 379

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 974 are 2 x 487

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

Given numbers are 379, 960, 100, 974

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

Apply this formula for all numbers.

Step1:

LCM(379, 960) = 363840

GCD(379, 960) = ( 379 x 960 ) / 363840

= 379 / 960

= 379

Step2:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

Step3:

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

= 1 / 974

= 1

So, Greatest Common Divisor of 379, 960, 100, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 157, 757, 473
• GCD of 295, 239, 903, 731
• GCD of 666, 325, 564, 581
• GCD of 366, 798, 754, 427
• GCD of 291, 892, 437, 372

Given numbers are 379, 960, 100, 974
The greatest common divisor of numbers 379, 960, 100, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 379, 960, 100, 974 is 1.

1. What is the GCD of 379, 960, 100, 974?

GCD of given numbers 379, 960, 100, 974 is 1

2. How to calculate the greatest common divisor of 379, 960, 100, 974?

We can find the highest common divisor of 379, 960, 100, 974 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 379, 960, 100, 974 i.e 1.

3. How can I use the GCD of 379, 960, 100, 974Calculator?

Out the numbers 379, 960, 100, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.