GCD of 654, 702, 800, 351 Calculator

Given Input numbers are 654, 702, 800, 351

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

Divisors of 654 :

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

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (654, 702, 800, 351) = 1.

Given numbers are 654, 702, 800, 351

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 351 are 3 x 3 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 654, 702, 800, 351

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

Apply this formula for all numbers.

Step1:

LCM(654, 702) = 76518

GCD(654, 702) = ( 654 x 702 ) / 76518

= 654 / 702

= 654

Step2:

LCM(6, 800) = 2400

GCD(6, 800) = ( 6 x 800 ) / 2400

= 6 / 800

= 6

Step3:

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

= 2 / 351

= 2

So, Greatest Common Divisor of 654, 702, 800, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 111, 852, 807
• GCD of 623, 989, 124, 497
• GCD of 737, 501, 756, 176
• GCD of 857, 804, 390, 652
• GCD of 934, 474, 450, 101

Given numbers are 654, 702, 800, 351
The greatest common divisor of numbers 654, 702, 800, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 702, 800, 351 is 1.

1. What is the GCD of 654, 702, 800, 351?

GCD of given numbers 654, 702, 800, 351 is 1

2. How to calculate the greatest common divisor of 654, 702, 800, 351?

We can find the highest common divisor of 654, 702, 800, 351 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 654, 702, 800, 351 i.e 1.

3. How can I use the GCD of 654, 702, 800, 351Calculator?

Out the numbers 654, 702, 800, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.