GCD of 680, 122, 360, 710 Calculator

Given Input numbers are 680, 122, 360, 710

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

GCD of numbers is the greatest common divisor

So, the GCD (680, 122, 360, 710) = 2.

Given numbers are 680, 122, 360, 710

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 122 are 2 x 61

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 710 are 2 x 5 x 71

The highest common occurrence is 2¹

Therefore, GCD of 680, 122, 360, 710 is 2.

Given numbers are 680, 122, 360, 710

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

Apply this formula for all numbers.

Step1:

LCM(680, 122) = 41480

GCD(680, 122) = ( 680 x 122 ) / 41480

= 680 / 122

= 680

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

= 2 / 710

= 2

So, Greatest Common Divisor of 680, 122, 360, 710 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 618, 733, 830
• GCD of 355, 594, 187, 466
• GCD of 100, 344, 735, 670
• GCD of 951, 279, 691, 436
• GCD of 747, 356, 919, 215

Given numbers are 680, 122, 360, 710
The greatest common divisor of numbers 680, 122, 360, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 122, 360, 710 is 2.

1. What is the GCD of 680, 122, 360, 710?

GCD of given numbers 680, 122, 360, 710 is 2

2. How to calculate the greatest common divisor of 680, 122, 360, 710?

We can find the highest common divisor of 680, 122, 360, 710 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, 122, 360, 710 i.e 2.

3. How can I use the GCD of 680, 122, 360, 710Calculator?

Out the numbers 680, 122, 360, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.