GCD of 780, 138, 29, 617 Calculator

Given Input numbers are 780, 138, 29, 617

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 29 :

The positive integer divisors of 29 that completely divides 29 are.

1, 29

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

GCD of numbers is the greatest common divisor

So, the GCD (780, 138, 29, 617) = 1.

Given numbers are 780, 138, 29, 617

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 138 are 2 x 3 x 23

Prime factors of 29 are 29

Prime factors of 617 are 617

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

Given numbers are 780, 138, 29, 617

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

Apply this formula for all numbers.

Step1:

LCM(780, 138) = 17940

GCD(780, 138) = ( 780 x 138 ) / 17940

= 780 / 138

= 780

Step2:

LCM(6, 29) = 174

GCD(6, 29) = ( 6 x 29 ) / 174

= 6 / 29

= 6

Step3:

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

= 1 / 617

= 1

So, Greatest Common Divisor of 780, 138, 29, 617 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 325, 75, 795
• GCD of 306, 278, 77, 141
• GCD of 151, 172, 87, 353
• GCD of 855, 877, 81, 782
• GCD of 708, 320, 84, 440

Given numbers are 780, 138, 29, 617
The greatest common divisor of numbers 780, 138, 29, 617 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 138, 29, 617 is 1.

1. What is the GCD of 780, 138, 29, 617?

GCD of given numbers 780, 138, 29, 617 is 1

2. How to calculate the greatest common divisor of 780, 138, 29, 617?

We can find the highest common divisor of 780, 138, 29, 617 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, 138, 29, 617 i.e 1.

3. How can I use the GCD of 780, 138, 29, 617Calculator?

Out the numbers 780, 138, 29, 617 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.