GCD of 130, 136, 60, 688 Calculator

Given Input numbers are 130, 136, 60, 688

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 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (130, 136, 60, 688) = 2.

Given numbers are 130, 136, 60, 688

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 130, 136, 60, 688 is 2.

Given numbers are 130, 136, 60, 688

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

Apply this formula for all numbers.

Step1:

LCM(130, 136) = 8840

GCD(130, 136) = ( 130 x 136 ) / 8840

= 130 / 136

= 130

Step2:

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

= 2 / 60

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 130, 136, 60, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 803, 42, 828
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• GCD of 482, 100, 71, 364
• GCD of 498, 838, 84, 810

Given numbers are 130, 136, 60, 688
The greatest common divisor of numbers 130, 136, 60, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 136, 60, 688 is 2.

1. What is the GCD of 130, 136, 60, 688?

GCD of given numbers 130, 136, 60, 688 is 2

2. How to calculate the greatest common divisor of 130, 136, 60, 688?

We can find the highest common divisor of 130, 136, 60, 688 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, 136, 60, 688 i.e 2.

3. How can I use the GCD of 130, 136, 60, 688Calculator?

Out the numbers 130, 136, 60, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.