GCD of 762, 682, 780, 108 Calculator

Given Input numbers are 762, 682, 780, 108

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (762, 682, 780, 108) = 2.

Given numbers are 762, 682, 780, 108

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 682 are 2 x 11 x 31

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 762, 682, 780, 108 is 2.

Given numbers are 762, 682, 780, 108

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

Apply this formula for all numbers.

Step1:

LCM(762, 682) = 259842

GCD(762, 682) = ( 762 x 682 ) / 259842

= 762 / 682

= 762

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 762, 682, 780, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 686, 690, 838
• GCD of 853, 899, 722, 578
• GCD of 994, 737, 192, 283
• GCD of 414, 697, 902, 663
• GCD of 384, 189, 106, 270

Given numbers are 762, 682, 780, 108
The greatest common divisor of numbers 762, 682, 780, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 682, 780, 108 is 2.

1. What is the GCD of 762, 682, 780, 108?

GCD of given numbers 762, 682, 780, 108 is 2

2. How to calculate the greatest common divisor of 762, 682, 780, 108?

We can find the highest common divisor of 762, 682, 780, 108 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 762, 682, 780, 108 i.e 2.

3. How can I use the GCD of 762, 682, 780, 108Calculator?

Out the numbers 762, 682, 780, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.