GCD of 120, 530, 694, 676 Calculator

Given Input numbers are 120, 530, 694, 676

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (120, 530, 694, 676) = 2.

Given numbers are 120, 530, 694, 676

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 530 are 2 x 5 x 53

Prime factors of 694 are 2 x 347

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 120, 530, 694, 676 is 2.

Given numbers are 120, 530, 694, 676

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

Apply this formula for all numbers.

Step1:

LCM(120, 530) = 6360

GCD(120, 530) = ( 120 x 530 ) / 6360

= 120 / 530

= 120

Step2:

LCM(10, 694) = 3470

GCD(10, 694) = ( 10 x 694 ) / 3470

= 10 / 694

= 10

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 120, 530, 694, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 934, 288, 542
• GCD of 884, 414, 955, 714
• GCD of 675, 187, 399, 955
• GCD of 740, 203, 875, 981
• GCD of 630, 909, 853, 190

Given numbers are 120, 530, 694, 676
The greatest common divisor of numbers 120, 530, 694, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 530, 694, 676 is 2.

1. What is the GCD of 120, 530, 694, 676?

GCD of given numbers 120, 530, 694, 676 is 2

2. How to calculate the greatest common divisor of 120, 530, 694, 676?

We can find the highest common divisor of 120, 530, 694, 676 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 120, 530, 694, 676 i.e 2.

3. How can I use the GCD of 120, 530, 694, 676Calculator?

Out the numbers 120, 530, 694, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.