GCD of 200, 654, 734 Calculator

Given Input numbers are 200, 654, 734

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 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (200, 654, 734) = 2.

Given numbers are 200, 654, 734

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 654 are 2 x 3 x 109

Prime factors of 734 are 2 x 367

The highest common occurrence is 2¹

Therefore, GCD of 200, 654, 734 is 2.

Given numbers are 200, 654, 734

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

Apply this formula for all numbers.

Step1:

LCM(200, 654) = 65400

GCD(200, 654) = ( 200 x 654 ) / 65400

= 200 / 654

= 200

Step2:

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

= 2 / 734

= 2

So, Greatest Common Divisor of 200, 654, 734 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 887, 902
• GCD of 224, 811, 775
• GCD of 390, 676, 532
• GCD of 956, 161, 244
• GCD of 970, 402, 117

Given numbers are 200, 654, 734
The greatest common divisor of numbers 200, 654, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 654, 734 is 2.

1. What is the GCD of 200, 654, 734?

GCD of given numbers 200, 654, 734 is 2

2. How to calculate the greatest common divisor of 200, 654, 734?

We can find the highest common divisor of 200, 654, 734 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, 654, 734 i.e 2.

3. How can I use the GCD of 200, 654, 734Calculator?

Out the numbers 200, 654, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.