GCD of 600, 748, 351, 679 Calculator

Given Input numbers are 600, 748, 351, 679

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 351 :

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

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

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

GCD of numbers is the greatest common divisor

So, the GCD (600, 748, 351, 679) = 1.

Given numbers are 600, 748, 351, 679

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 748 are 2 x 2 x 11 x 17

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

Prime factors of 679 are 7 x 97

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

Given numbers are 600, 748, 351, 679

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

Apply this formula for all numbers.

Step1:

LCM(600, 748) = 112200

GCD(600, 748) = ( 600 x 748 ) / 112200

= 600 / 748

= 600

Step2:

LCM(4, 351) = 1404

GCD(4, 351) = ( 4 x 351 ) / 1404

= 4 / 351

= 4

Step3:

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

= 1 / 679

= 1

So, Greatest Common Divisor of 600, 748, 351, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 163, 750, 113
• GCD of 892, 368, 831, 720
• GCD of 297, 750, 864, 122
• GCD of 441, 347, 271, 226
• GCD of 490, 173, 478, 332

Given numbers are 600, 748, 351, 679
The greatest common divisor of numbers 600, 748, 351, 679 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 748, 351, 679 is 1.

1. What is the GCD of 600, 748, 351, 679?

GCD of given numbers 600, 748, 351, 679 is 1

2. How to calculate the greatest common divisor of 600, 748, 351, 679?

We can find the highest common divisor of 600, 748, 351, 679 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 600, 748, 351, 679 i.e 1.

3. How can I use the GCD of 600, 748, 351, 679Calculator?

Out the numbers 600, 748, 351, 679 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.