GCD of 130, 848, 600, 992 Calculator

Given Input numbers are 130, 848, 600, 992

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 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (130, 848, 600, 992) = 2.

Given numbers are 130, 848, 600, 992

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 130, 848, 600, 992 is 2.

Given numbers are 130, 848, 600, 992

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

Apply this formula for all numbers.

Step1:

LCM(130, 848) = 55120

GCD(130, 848) = ( 130 x 848 ) / 55120

= 130 / 848

= 130

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 130, 848, 600, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 444, 741, 510
• GCD of 266, 359, 528, 298
• GCD of 125, 571, 270, 320
• GCD of 220, 544, 346, 373
• GCD of 740, 688, 307, 212

Given numbers are 130, 848, 600, 992
The greatest common divisor of numbers 130, 848, 600, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 848, 600, 992 is 2.

1. What is the GCD of 130, 848, 600, 992?

GCD of given numbers 130, 848, 600, 992 is 2

2. How to calculate the greatest common divisor of 130, 848, 600, 992?

We can find the highest common divisor of 130, 848, 600, 992 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, 848, 600, 992 i.e 2.

3. How can I use the GCD of 130, 848, 600, 992Calculator?

Out the numbers 130, 848, 600, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.