GCD of 694, 630, 20, 252 Calculator

Given Input numbers are 694, 630, 20, 252

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

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (694, 630, 20, 252) = 2.

Given numbers are 694, 630, 20, 252

The list of prime factors of all numbers are

Prime factors of 694 are 2 x 347

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 20 are 2 x 2 x 5

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 694, 630, 20, 252 is 2.

Given numbers are 694, 630, 20, 252

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

Apply this formula for all numbers.

Step1:

LCM(694, 630) = 218610

GCD(694, 630) = ( 694 x 630 ) / 218610

= 694 / 630

= 694

Step2:

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

= 2 / 20

= 2

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 694, 630, 20, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 547, 69, 209
• GCD of 516, 220, 98, 828
• GCD of 818, 632, 90, 478
• GCD of 122, 148, 37, 301
• GCD of 312, 620, 11, 600

Given numbers are 694, 630, 20, 252
The greatest common divisor of numbers 694, 630, 20, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 694, 630, 20, 252 is 2.

1. What is the GCD of 694, 630, 20, 252?

GCD of given numbers 694, 630, 20, 252 is 2

2. How to calculate the greatest common divisor of 694, 630, 20, 252?

We can find the highest common divisor of 694, 630, 20, 252 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 694, 630, 20, 252 i.e 2.

3. How can I use the GCD of 694, 630, 20, 252Calculator?

Out the numbers 694, 630, 20, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.