GCD of 392, 522, 780, 109 Calculator

Given Input numbers are 392, 522, 780, 109

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (392, 522, 780, 109) = 1.

Given numbers are 392, 522, 780, 109

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 522 are 2 x 3 x 3 x 29

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

Prime factors of 109 are 109

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 392, 522, 780, 109

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

Apply this formula for all numbers.

Step1:

LCM(392, 522) = 102312

GCD(392, 522) = ( 392 x 522 ) / 102312

= 392 / 522

= 392

Step2:

LCM(2, 780) = 780

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

= 2 / 780

= 2

Step3:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

So, Greatest Common Divisor of 392, 522, 780, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 691, 862, 562
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• GCD of 681, 708, 436, 910
• GCD of 471, 971, 349, 153

Given numbers are 392, 522, 780, 109
The greatest common divisor of numbers 392, 522, 780, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 522, 780, 109 is 1.

1. What is the GCD of 392, 522, 780, 109?

GCD of given numbers 392, 522, 780, 109 is 1

2. How to calculate the greatest common divisor of 392, 522, 780, 109?

We can find the highest common divisor of 392, 522, 780, 109 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 392, 522, 780, 109 i.e 1.

3. How can I use the GCD of 392, 522, 780, 109Calculator?

Out the numbers 392, 522, 780, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.