GCD of 974, 917, 852, 200 Calculator

Given Input numbers are 974, 917, 852, 200

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 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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

GCD of numbers is the greatest common divisor

So, the GCD (974, 917, 852, 200) = 1.

Given numbers are 974, 917, 852, 200

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 917 are 7 x 131

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 200 are 2 x 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, 917, 852, 200

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

Apply this formula for all numbers.

Step1:

LCM(974, 917) = 893158

GCD(974, 917) = ( 974 x 917 ) / 893158

= 974 / 917

= 974

Step2:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 974, 917, 852, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 600, 965, 523
• GCD of 566, 365, 372, 382
• GCD of 181, 126, 804, 929
• GCD of 753, 668, 373, 446
• GCD of 166, 756, 313, 562

Given numbers are 974, 917, 852, 200
The greatest common divisor of numbers 974, 917, 852, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 917, 852, 200 is 1.

1. What is the GCD of 974, 917, 852, 200?

GCD of given numbers 974, 917, 852, 200 is 1

2. How to calculate the greatest common divisor of 974, 917, 852, 200?

We can find the highest common divisor of 974, 917, 852, 200 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, 917, 852, 200 i.e 1.

3. How can I use the GCD of 974, 917, 852, 200Calculator?

Out the numbers 974, 917, 852, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.