GCD of 984, 105, 974, 957 Calculator

Given Input numbers are 984, 105, 974, 957

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 974 :

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

1, 2, 487, 974

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

GCD of numbers is the greatest common divisor

So, the GCD (984, 105, 974, 957) = 1.

Given numbers are 984, 105, 974, 957

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 105 are 3 x 5 x 7

Prime factors of 974 are 2 x 487

Prime factors of 957 are 3 x 11 x 29

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

Given numbers are 984, 105, 974, 957

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

Apply this formula for all numbers.

Step1:

LCM(984, 105) = 34440

GCD(984, 105) = ( 984 x 105 ) / 34440

= 984 / 105

= 984

Step2:

LCM(3, 974) = 2922

GCD(3, 974) = ( 3 x 974 ) / 2922

= 3 / 974

= 3

Step3:

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

= 1 / 957

= 1

So, Greatest Common Divisor of 984, 105, 974, 957 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 828, 482, 590
• GCD of 694, 508, 713, 194
• GCD of 107, 199, 331, 348
• GCD of 240, 659, 640, 689
• GCD of 417, 390, 297, 750

Given numbers are 984, 105, 974, 957
The greatest common divisor of numbers 984, 105, 974, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 105, 974, 957 is 1.

1. What is the GCD of 984, 105, 974, 957?

GCD of given numbers 984, 105, 974, 957 is 1

2. How to calculate the greatest common divisor of 984, 105, 974, 957?

We can find the highest common divisor of 984, 105, 974, 957 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 984, 105, 974, 957 i.e 1.

3. How can I use the GCD of 984, 105, 974, 957Calculator?

Out the numbers 984, 105, 974, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.