GCD of 130, 224, 254, 828 Calculator

Given Input numbers are 130, 224, 254, 828

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (130, 224, 254, 828) = 2.

Given numbers are 130, 224, 254, 828

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 254 are 2 x 127

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 130, 224, 254, 828 is 2.

Given numbers are 130, 224, 254, 828

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

Apply this formula for all numbers.

Step1:

LCM(130, 224) = 14560

GCD(130, 224) = ( 130 x 224 ) / 14560

= 130 / 224

= 130

Step2:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 130, 224, 254, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 206, 347, 923
• GCD of 455, 163, 599, 528
• GCD of 721, 687, 964, 511
• GCD of 908, 245, 855, 934
• GCD of 970, 934, 748, 666

Given numbers are 130, 224, 254, 828
The greatest common divisor of numbers 130, 224, 254, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 224, 254, 828 is 2.

1. What is the GCD of 130, 224, 254, 828?

GCD of given numbers 130, 224, 254, 828 is 2

2. How to calculate the greatest common divisor of 130, 224, 254, 828?

We can find the highest common divisor of 130, 224, 254, 828 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, 224, 254, 828 i.e 2.

3. How can I use the GCD of 130, 224, 254, 828Calculator?

Out the numbers 130, 224, 254, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.