GCD of 252, 200, 393, 974 Calculator

Given Input numbers are 252, 200, 393, 974

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

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 (252, 200, 393, 974) = 1.

Given numbers are 252, 200, 393, 974

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 393 are 3 x 131

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 252, 200, 393, 974

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

Apply this formula for all numbers.

Step1:

LCM(252, 200) = 12600

GCD(252, 200) = ( 252 x 200 ) / 12600

= 252 / 200

= 252

Step2:

LCM(4, 393) = 1572

GCD(4, 393) = ( 4 x 393 ) / 1572

= 4 / 393

= 4

Step3:

LCM(1, 974) = 974

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

= 1 / 974

= 1

So, Greatest Common Divisor of 252, 200, 393, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 898, 704, 878
• GCD of 676, 709, 915, 108
• GCD of 338, 848, 728, 265
• GCD of 879, 220, 117, 822
• GCD of 350, 509, 830, 321

Given numbers are 252, 200, 393, 974
The greatest common divisor of numbers 252, 200, 393, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 200, 393, 974 is 1.

1. What is the GCD of 252, 200, 393, 974?

GCD of given numbers 252, 200, 393, 974 is 1

2. How to calculate the greatest common divisor of 252, 200, 393, 974?

We can find the highest common divisor of 252, 200, 393, 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 252, 200, 393, 974 i.e 1.

3. How can I use the GCD of 252, 200, 393, 974Calculator?

Out the numbers 252, 200, 393, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.