GCD of 630, 294, 682, 400 Calculator

Given Input numbers are 630, 294, 682, 400

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

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (630, 294, 682, 400) = 2.

Given numbers are 630, 294, 682, 400

The list of prime factors of all numbers are

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

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 682 are 2 x 11 x 31

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 630, 294, 682, 400 is 2.

Given numbers are 630, 294, 682, 400

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

Apply this formula for all numbers.

Step1:

LCM(630, 294) = 4410

GCD(630, 294) = ( 630 x 294 ) / 4410

= 630 / 294

= 630

Step2:

LCM(42, 682) = 14322

GCD(42, 682) = ( 42 x 682 ) / 14322

= 42 / 682

= 42

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 630, 294, 682, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 710, 354, 419
• GCD of 917, 420, 650, 423
• GCD of 243, 104, 588, 301
• GCD of 115, 918, 318, 337
• GCD of 921, 640, 638, 958

Given numbers are 630, 294, 682, 400
The greatest common divisor of numbers 630, 294, 682, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 294, 682, 400 is 2.

1. What is the GCD of 630, 294, 682, 400?

GCD of given numbers 630, 294, 682, 400 is 2

2. How to calculate the greatest common divisor of 630, 294, 682, 400?

We can find the highest common divisor of 630, 294, 682, 400 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 630, 294, 682, 400 i.e 2.

3. How can I use the GCD of 630, 294, 682, 400Calculator?

Out the numbers 630, 294, 682, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.