GCD of 782, 372, 122, 680 Calculator

Given Input numbers are 782, 372, 122, 680

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 122 :

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

1, 2, 61, 122

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

GCD of numbers is the greatest common divisor

So, the GCD (782, 372, 122, 680) = 2.

Given numbers are 782, 372, 122, 680

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 122 are 2 x 61

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

The highest common occurrence is 2¹

Therefore, GCD of 782, 372, 122, 680 is 2.

Given numbers are 782, 372, 122, 680

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

Apply this formula for all numbers.

Step1:

LCM(782, 372) = 145452

GCD(782, 372) = ( 782 x 372 ) / 145452

= 782 / 372

= 782

Step2:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 782, 372, 122, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 792, 667, 945
• GCD of 290, 992, 929, 737
• GCD of 339, 991, 899, 461
• GCD of 945, 461, 873, 686
• GCD of 699, 802, 174, 881

Given numbers are 782, 372, 122, 680
The greatest common divisor of numbers 782, 372, 122, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 372, 122, 680 is 2.

1. What is the GCD of 782, 372, 122, 680?

GCD of given numbers 782, 372, 122, 680 is 2

2. How to calculate the greatest common divisor of 782, 372, 122, 680?

We can find the highest common divisor of 782, 372, 122, 680 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 782, 372, 122, 680 i.e 2.

3. How can I use the GCD of 782, 372, 122, 680Calculator?

Out the numbers 782, 372, 122, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.