GCD of 712, 246, 980, 400 Calculator

Given Input numbers are 712, 246, 980, 400

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 246 :

The positive integer divisors of 246 that completely divides 246 are.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

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 (712, 246, 980, 400) = 2.

Given numbers are 712, 246, 980, 400

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 246 are 2 x 3 x 41

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

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 712, 246, 980, 400 is 2.

Given numbers are 712, 246, 980, 400

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

Apply this formula for all numbers.

Step1:

LCM(712, 246) = 87576

GCD(712, 246) = ( 712 x 246 ) / 87576

= 712 / 246

= 712

Step2:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

Step3:

LCM(2, 400) = 400

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

= 2 / 400

= 2

So, Greatest Common Divisor of 712, 246, 980, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 367, 638, 753
• GCD of 982, 499, 851, 656
• GCD of 921, 224, 293, 674
• GCD of 196, 657, 895, 936
• GCD of 857, 645, 937, 216

Given numbers are 712, 246, 980, 400
The greatest common divisor of numbers 712, 246, 980, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 246, 980, 400 is 2.

1. What is the GCD of 712, 246, 980, 400?

GCD of given numbers 712, 246, 980, 400 is 2

2. How to calculate the greatest common divisor of 712, 246, 980, 400?

We can find the highest common divisor of 712, 246, 980, 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 712, 246, 980, 400 i.e 2.

3. How can I use the GCD of 712, 246, 980, 400Calculator?

Out the numbers 712, 246, 980, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.