GCD of 130, 220, 524, 174 Calculator

Given Input numbers are 130, 220, 524, 174

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (130, 220, 524, 174) = 2.

Given numbers are 130, 220, 524, 174

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 524 are 2 x 2 x 131

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 130, 220, 524, 174 is 2.

Given numbers are 130, 220, 524, 174

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

Apply this formula for all numbers.

Step1:

LCM(130, 220) = 2860

GCD(130, 220) = ( 130 x 220 ) / 2860

= 130 / 220

= 130

Step2:

LCM(10, 524) = 2620

GCD(10, 524) = ( 10 x 524 ) / 2620

= 10 / 524

= 10

Step3:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

So, Greatest Common Divisor of 130, 220, 524, 174 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 236, 294, 437
• GCD of 135, 643, 967, 914
• GCD of 119, 745, 946, 149
• GCD of 936, 452, 523, 806
• GCD of 463, 213, 888, 954

Given numbers are 130, 220, 524, 174
The greatest common divisor of numbers 130, 220, 524, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 220, 524, 174 is 2.

1. What is the GCD of 130, 220, 524, 174?

GCD of given numbers 130, 220, 524, 174 is 2

2. How to calculate the greatest common divisor of 130, 220, 524, 174?

We can find the highest common divisor of 130, 220, 524, 174 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, 220, 524, 174 i.e 2.

3. How can I use the GCD of 130, 220, 524, 174Calculator?

Out the numbers 130, 220, 524, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.