GCD of 780, 352, 782, 102 Calculator

Given Input numbers are 780, 352, 782, 102

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

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 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 782 :

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

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (780, 352, 782, 102) = 2.

Given numbers are 780, 352, 782, 102

The list of prime factors of all numbers are

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

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 782 are 2 x 17 x 23

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 780, 352, 782, 102 is 2.

Given numbers are 780, 352, 782, 102

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

Apply this formula for all numbers.

Step1:

LCM(780, 352) = 68640

GCD(780, 352) = ( 780 x 352 ) / 68640

= 780 / 352

= 780

Step2:

LCM(4, 782) = 1564

GCD(4, 782) = ( 4 x 782 ) / 1564

= 4 / 782

= 4

Step3:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2

So, Greatest Common Divisor of 780, 352, 782, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 848, 517, 730
• GCD of 218, 739, 786, 583
• GCD of 318, 638, 125, 735
• GCD of 934, 424, 580, 679
• GCD of 784, 724, 737, 873

Given numbers are 780, 352, 782, 102
The greatest common divisor of numbers 780, 352, 782, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 352, 782, 102 is 2.

1. What is the GCD of 780, 352, 782, 102?

GCD of given numbers 780, 352, 782, 102 is 2

2. How to calculate the greatest common divisor of 780, 352, 782, 102?

We can find the highest common divisor of 780, 352, 782, 102 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 780, 352, 782, 102 i.e 2.

3. How can I use the GCD of 780, 352, 782, 102Calculator?

Out the numbers 780, 352, 782, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.