GCD of 680, 490, 740, 868 Calculator

Given Input numbers are 680, 490, 740, 868

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

GCD of numbers is the greatest common divisor

So, the GCD (680, 490, 740, 868) = 2.

Given numbers are 680, 490, 740, 868

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 490 are 2 x 5 x 7 x 7

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 868 are 2 x 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 680, 490, 740, 868 is 2.

Given numbers are 680, 490, 740, 868

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

Apply this formula for all numbers.

Step1:

LCM(680, 490) = 33320

GCD(680, 490) = ( 680 x 490 ) / 33320

= 680 / 490

= 680

Step2:

LCM(10, 740) = 740

GCD(10, 740) = ( 10 x 740 ) / 740

= 10 / 740

= 10

Step3:

LCM(10, 868) = 4340

GCD(10, 868) = ( 10 x 868 ) / 4340

= 10 / 868

= 10

So, Greatest Common Divisor of 680, 490, 740, 868 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 694, 858, 125
• GCD of 531, 581, 381, 122
• GCD of 412, 538, 662, 511
• GCD of 142, 783, 294, 390
• GCD of 625, 237, 303, 179

Given numbers are 680, 490, 740, 868
The greatest common divisor of numbers 680, 490, 740, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 490, 740, 868 is 2.

1. What is the GCD of 680, 490, 740, 868?

GCD of given numbers 680, 490, 740, 868 is 2

2. How to calculate the greatest common divisor of 680, 490, 740, 868?

We can find the highest common divisor of 680, 490, 740, 868 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, 490, 740, 868 i.e 2.

3. How can I use the GCD of 680, 490, 740, 868Calculator?

Out the numbers 680, 490, 740, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.