GCD of 310, 980, 438 Calculator

Given Input numbers are 310, 980, 438

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (310, 980, 438) = 2.

Given numbers are 310, 980, 438

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

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

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 310, 980, 438 is 2.

Given numbers are 310, 980, 438

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

Apply this formula for all numbers.

Step1:

LCM(310, 980) = 30380

GCD(310, 980) = ( 310 x 980 ) / 30380

= 310 / 980

= 310

Step2:

LCM(10, 438) = 2190

GCD(10, 438) = ( 10 x 438 ) / 2190

= 10 / 438

= 10

So, Greatest Common Divisor of 310, 980, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 217, 200
• GCD of 103, 359, 511
• GCD of 430, 780, 278
• GCD of 205, 847, 510
• GCD of 458, 268, 536

Given numbers are 310, 980, 438
The greatest common divisor of numbers 310, 980, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 980, 438 is 2.

1. What is the GCD of 310, 980, 438?

GCD of given numbers 310, 980, 438 is 2

2. How to calculate the greatest common divisor of 310, 980, 438?

We can find the highest common divisor of 310, 980, 438 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 310, 980, 438 i.e 2.

3. How can I use the GCD of 310, 980, 438Calculator?

Out the numbers 310, 980, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.