GCD of 980, 732, 606, 312 Calculator

Given Input numbers are 980, 732, 606, 312

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

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 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (980, 732, 606, 312) = 2.

Given numbers are 980, 732, 606, 312

The list of prime factors of all numbers are

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

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 606 are 2 x 3 x 101

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 980, 732, 606, 312 is 2.

Given numbers are 980, 732, 606, 312

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

Apply this formula for all numbers.

Step1:

LCM(980, 732) = 179340

GCD(980, 732) = ( 980 x 732 ) / 179340

= 980 / 732

= 980

Step2:

LCM(4, 606) = 1212

GCD(4, 606) = ( 4 x 606 ) / 1212

= 4 / 606

= 4

Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

So, Greatest Common Divisor of 980, 732, 606, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 333, 510, 381
• GCD of 631, 946, 885, 845
• GCD of 227, 388, 565, 416
• GCD of 619, 551, 762, 482
• GCD of 676, 650, 777, 133

Given numbers are 980, 732, 606, 312
The greatest common divisor of numbers 980, 732, 606, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 732, 606, 312 is 2.

1. What is the GCD of 980, 732, 606, 312?

GCD of given numbers 980, 732, 606, 312 is 2

2. How to calculate the greatest common divisor of 980, 732, 606, 312?

We can find the highest common divisor of 980, 732, 606, 312 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 980, 732, 606, 312 i.e 2.

3. How can I use the GCD of 980, 732, 606, 312Calculator?

Out the numbers 980, 732, 606, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.