GCD of 680, 980, 308, 252 Calculator

Given Input numbers are 680, 980, 308, 252

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (680, 980, 308, 252) = 4.

Given numbers are 680, 980, 308, 252

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2²

Therefore, GCD of 680, 980, 308, 252 is 4.

Given numbers are 680, 980, 308, 252

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

Apply this formula for all numbers.

Step1:

LCM(680, 980) = 33320

GCD(680, 980) = ( 680 x 980 ) / 33320

= 680 / 980

= 680

Step2:

LCM(20, 308) = 1540

GCD(20, 308) = ( 20 x 308 ) / 1540

= 20 / 308

= 20

Step3:

LCM(4, 252) = 252

GCD(4, 252) = ( 4 x 252 ) / 252

= 4 / 252

= 4

So, Greatest Common Divisor of 680, 980, 308, 252 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 416, 136, 276
• GCD of 645, 551, 799, 367
• GCD of 354, 488, 597, 779
• GCD of 875, 780, 556, 636
• GCD of 215, 730, 874, 387

Given numbers are 680, 980, 308, 252
The greatest common divisor of numbers 680, 980, 308, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 980, 308, 252 is 4.

1. What is the GCD of 680, 980, 308, 252?

GCD of given numbers 680, 980, 308, 252 is 4

2. How to calculate the greatest common divisor of 680, 980, 308, 252?

We can find the highest common divisor of 680, 980, 308, 252 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 680, 980, 308, 252 i.e 4.

3. How can I use the GCD of 680, 980, 308, 252Calculator?

Out the numbers 680, 980, 308, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.