GCD of 722, 300, 130, 680 Calculator

Given Input numbers are 722, 300, 130, 680

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 130 :

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

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (722, 300, 130, 680) = 2.

Given numbers are 722, 300, 130, 680

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 130 are 2 x 5 x 13

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 722, 300, 130, 680 is 2.

Given numbers are 722, 300, 130, 680

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

Apply this formula for all numbers.

Step1:

LCM(722, 300) = 108300

GCD(722, 300) = ( 722 x 300 ) / 108300

= 722 / 300

= 722

Step2:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 722, 300, 130, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 155, 679, 504
• GCD of 607, 688, 863, 125
• GCD of 912, 842, 132, 384
• GCD of 818, 419, 862, 458
• GCD of 693, 487, 334, 907

Given numbers are 722, 300, 130, 680
The greatest common divisor of numbers 722, 300, 130, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 300, 130, 680 is 2.

1. What is the GCD of 722, 300, 130, 680?

GCD of given numbers 722, 300, 130, 680 is 2

2. How to calculate the greatest common divisor of 722, 300, 130, 680?

We can find the highest common divisor of 722, 300, 130, 680 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 722, 300, 130, 680 i.e 2.

3. How can I use the GCD of 722, 300, 130, 680Calculator?

Out the numbers 722, 300, 130, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.