GCD of 297, 434, 108, 200 Calculator

Given Input numbers are 297, 434, 108, 200

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 (297, 434, 108, 200) = 1.

Given numbers are 297, 434, 108, 200

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 434 are 2 x 7 x 31

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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 297, 434, 108, 200

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

Apply this formula for all numbers.

Step1:

LCM(297, 434) = 128898

GCD(297, 434) = ( 297 x 434 ) / 128898

= 297 / 434

= 297

Step2:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

Step3:

LCM(1, 200) = 200

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

= 1 / 200

= 1

So, Greatest Common Divisor of 297, 434, 108, 200 is 1

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• GCD of 822, 230, 804, 966
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Given numbers are 297, 434, 108, 200
The greatest common divisor of numbers 297, 434, 108, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 434, 108, 200 is 1.

1. What is the GCD of 297, 434, 108, 200?

GCD of given numbers 297, 434, 108, 200 is 1

2. How to calculate the greatest common divisor of 297, 434, 108, 200?

We can find the highest common divisor of 297, 434, 108, 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 297, 434, 108, 200 i.e 1.

3. How can I use the GCD of 297, 434, 108, 200Calculator?

Out the numbers 297, 434, 108, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.