GCD of 200, 100, 714 Calculator

Given Input numbers are 200, 100, 714

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

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 100 :

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

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (200, 100, 714) = 2.

Given numbers are 200, 100, 714

The list of prime factors of all numbers are

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

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

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 200, 100, 714 is 2.

Given numbers are 200, 100, 714

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

Apply this formula for all numbers.

Step1:

LCM(200, 100) = 200

GCD(200, 100) = ( 200 x 100 ) / 200

= 200 / 100

= 200

Step2:

LCM(100, 714) = 35700

GCD(100, 714) = ( 100 x 714 ) / 35700

= 100 / 714

= 100

So, Greatest Common Divisor of 200, 100, 714 is 2

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• GCD of 758, 947, 939
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Given numbers are 200, 100, 714
The greatest common divisor of numbers 200, 100, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 100, 714 is 2.

1. What is the GCD of 200, 100, 714?

GCD of given numbers 200, 100, 714 is 2

2. How to calculate the greatest common divisor of 200, 100, 714?

We can find the highest common divisor of 200, 100, 714 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 200, 100, 714 i.e 2.

3. How can I use the GCD of 200, 100, 714Calculator?

Out the numbers 200, 100, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.