GCD of 974, 120, 827, 100 Calculator

Given Input numbers are 974, 120, 827, 100

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

Divisors of 974 :

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

1, 2, 487, 974

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 100 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (974, 120, 827, 100) = 1.

Given numbers are 974, 120, 827, 100

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 827 are 827

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

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

Given numbers are 974, 120, 827, 100

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

Apply this formula for all numbers.

Step1:

LCM(974, 120) = 58440

GCD(974, 120) = ( 974 x 120 ) / 58440

= 974 / 120

= 974

Step2:

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

= 2 / 827

= 2

Step3:

LCM(1, 100) = 100

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

= 1 / 100

= 1

So, Greatest Common Divisor of 974, 120, 827, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 236, 374, 221
• GCD of 773, 665, 746, 304
• GCD of 542, 353, 205, 848
• GCD of 350, 465, 828, 624
• GCD of 711, 923, 399, 920

Given numbers are 974, 120, 827, 100
The greatest common divisor of numbers 974, 120, 827, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 120, 827, 100 is 1.

1. What is the GCD of 974, 120, 827, 100?

GCD of given numbers 974, 120, 827, 100 is 1

2. How to calculate the greatest common divisor of 974, 120, 827, 100?

We can find the highest common divisor of 974, 120, 827, 100 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 974, 120, 827, 100 i.e 1.

3. How can I use the GCD of 974, 120, 827, 100Calculator?

Out the numbers 974, 120, 827, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.