GCD of 130, 580, 77, 414 Calculator

Given Input numbers are 130, 580, 77, 414

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (130, 580, 77, 414) = 1.

Given numbers are 130, 580, 77, 414

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 77 are 7 x 11

Prime factors of 414 are 2 x 3 x 3 x 23

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

Given numbers are 130, 580, 77, 414

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

Apply this formula for all numbers.

Step1:

LCM(130, 580) = 7540

GCD(130, 580) = ( 130 x 580 ) / 7540

= 130 / 580

= 130

Step2:

LCM(10, 77) = 770

GCD(10, 77) = ( 10 x 77 ) / 770

= 10 / 77

= 10

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 130, 580, 77, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 650, 96, 365
• GCD of 210, 274, 65, 852
• GCD of 292, 486, 10, 199
• GCD of 234, 476, 54, 891
• GCD of 633, 130, 27, 497

Given numbers are 130, 580, 77, 414
The greatest common divisor of numbers 130, 580, 77, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 580, 77, 414 is 1.

1. What is the GCD of 130, 580, 77, 414?

GCD of given numbers 130, 580, 77, 414 is 1

2. How to calculate the greatest common divisor of 130, 580, 77, 414?

We can find the highest common divisor of 130, 580, 77, 414 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 130, 580, 77, 414 i.e 1.

3. How can I use the GCD of 130, 580, 77, 414Calculator?

Out the numbers 130, 580, 77, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.