GCD of 770, 130, 422, 116 Calculator

Given Input numbers are 770, 130, 422, 116

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

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 130 :

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

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (770, 130, 422, 116) = 2.

Given numbers are 770, 130, 422, 116

The list of prime factors of all numbers are

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 130 are 2 x 5 x 13

Prime factors of 422 are 2 x 211

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 770, 130, 422, 116 is 2.

Given numbers are 770, 130, 422, 116

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

Apply this formula for all numbers.

Step1:

LCM(770, 130) = 10010

GCD(770, 130) = ( 770 x 130 ) / 10010

= 770 / 130

= 770

Step2:

LCM(10, 422) = 2110

GCD(10, 422) = ( 10 x 422 ) / 2110

= 10 / 422

= 10

Step3:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

So, Greatest Common Divisor of 770, 130, 422, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 277, 704, 385
• GCD of 546, 413, 808, 371
• GCD of 293, 876, 429, 736
• GCD of 415, 359, 959, 473
• GCD of 709, 975, 691, 173

Given numbers are 770, 130, 422, 116
The greatest common divisor of numbers 770, 130, 422, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 130, 422, 116 is 2.

1. What is the GCD of 770, 130, 422, 116?

GCD of given numbers 770, 130, 422, 116 is 2

2. How to calculate the greatest common divisor of 770, 130, 422, 116?

We can find the highest common divisor of 770, 130, 422, 116 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 770, 130, 422, 116 i.e 2.

3. How can I use the GCD of 770, 130, 422, 116Calculator?

Out the numbers 770, 130, 422, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.