GCD of 315, 798, 600, 702 Calculator

Given Input numbers are 315, 798, 600, 702

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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 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

GCD of numbers is the greatest common divisor

So, the GCD (315, 798, 600, 702) = 3.

Given numbers are 315, 798, 600, 702

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 798 are 2 x 3 x 7 x 19

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

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

The highest common occurrence is 3¹

Therefore, GCD of 315, 798, 600, 702 is 3.

Given numbers are 315, 798, 600, 702

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

Apply this formula for all numbers.

Step1:

LCM(315, 798) = 11970

GCD(315, 798) = ( 315 x 798 ) / 11970

= 315 / 798

= 315

Step2:

LCM(21, 600) = 4200

GCD(21, 600) = ( 21 x 600 ) / 4200

= 21 / 600

= 21

Step3:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

So, Greatest Common Divisor of 315, 798, 600, 702 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 463, 550, 762
• GCD of 673, 981, 430, 345
• GCD of 903, 529, 802, 318
• GCD of 896, 980, 931, 934
• GCD of 302, 543, 176, 707

Given numbers are 315, 798, 600, 702
The greatest common divisor of numbers 315, 798, 600, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 798, 600, 702 is 3.

1. What is the GCD of 315, 798, 600, 702?

GCD of given numbers 315, 798, 600, 702 is 3

2. How to calculate the greatest common divisor of 315, 798, 600, 702?

We can find the highest common divisor of 315, 798, 600, 702 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 315, 798, 600, 702 i.e 3.

3. How can I use the GCD of 315, 798, 600, 702Calculator?

Out the numbers 315, 798, 600, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.