GCD of 120, 690, 668, 510 Calculator

Given Input numbers are 120, 690, 668, 510

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 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

GCD of numbers is the greatest common divisor

So, the GCD (120, 690, 668, 510) = 2.

Given numbers are 120, 690, 668, 510

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 690 are 2 x 3 x 5 x 23

Prime factors of 668 are 2 x 2 x 167

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 120, 690, 668, 510 is 2.

Given numbers are 120, 690, 668, 510

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

Apply this formula for all numbers.

Step1:

LCM(120, 690) = 2760

GCD(120, 690) = ( 120 x 690 ) / 2760

= 120 / 690

= 120

Step2:

LCM(30, 668) = 10020

GCD(30, 668) = ( 30 x 668 ) / 10020

= 30 / 668

= 30

Step3:

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

= 2 / 510

= 2

So, Greatest Common Divisor of 120, 690, 668, 510 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 600, 743, 897
• GCD of 297, 244, 994, 813
• GCD of 634, 146, 877, 580
• GCD of 578, 809, 585, 124
• GCD of 332, 319, 386, 473

Given numbers are 120, 690, 668, 510
The greatest common divisor of numbers 120, 690, 668, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 690, 668, 510 is 2.

1. What is the GCD of 120, 690, 668, 510?

GCD of given numbers 120, 690, 668, 510 is 2

2. How to calculate the greatest common divisor of 120, 690, 668, 510?

We can find the highest common divisor of 120, 690, 668, 510 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, 690, 668, 510 i.e 2.

3. How can I use the GCD of 120, 690, 668, 510Calculator?

Out the numbers 120, 690, 668, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.