GCD of 230, 980, 708, 844 Calculator

Given Input numbers are 230, 980, 708, 844

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

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

GCD of numbers is the greatest common divisor

So, the GCD (230, 980, 708, 844) = 2.

Given numbers are 230, 980, 708, 844

The list of prime factors of all numbers are

Prime factors of 230 are 2 x 5 x 23

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

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 844 are 2 x 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 230, 980, 708, 844 is 2.

Given numbers are 230, 980, 708, 844

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

Apply this formula for all numbers.

Step1:

LCM(230, 980) = 22540

GCD(230, 980) = ( 230 x 980 ) / 22540

= 230 / 980

= 230

Step2:

LCM(10, 708) = 3540

GCD(10, 708) = ( 10 x 708 ) / 3540

= 10 / 708

= 10

Step3:

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

= 2 / 844

= 2

So, Greatest Common Divisor of 230, 980, 708, 844 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 577, 737, 747
• GCD of 694, 913, 368, 413
• GCD of 520, 285, 979, 574
• GCD of 267, 353, 250, 841
• GCD of 492, 950, 361, 317

Given numbers are 230, 980, 708, 844
The greatest common divisor of numbers 230, 980, 708, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 230, 980, 708, 844 is 2.

1. What is the GCD of 230, 980, 708, 844?

GCD of given numbers 230, 980, 708, 844 is 2

2. How to calculate the greatest common divisor of 230, 980, 708, 844?

We can find the highest common divisor of 230, 980, 708, 844 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 230, 980, 708, 844 i.e 2.

3. How can I use the GCD of 230, 980, 708, 844Calculator?

Out the numbers 230, 980, 708, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.