GCD of 120, 688, 774, 240 Calculator

Given Input numbers are 120, 688, 774, 240

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 688 :

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

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

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (120, 688, 774, 240) = 2.

Given numbers are 120, 688, 774, 240

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 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 120, 688, 774, 240 is 2.

Given numbers are 120, 688, 774, 240

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

Apply this formula for all numbers.

Step1:

LCM(120, 688) = 10320

GCD(120, 688) = ( 120 x 688 ) / 10320

= 120 / 688

= 120

Step2:

LCM(8, 774) = 3096

GCD(8, 774) = ( 8 x 774 ) / 3096

= 8 / 774

= 8

Step3:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

So, Greatest Common Divisor of 120, 688, 774, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 405, 977, 843
• GCD of 841, 142, 503, 904
• GCD of 120, 559, 840, 945
• GCD of 236, 833, 435, 824
• GCD of 316, 699, 579, 179

Given numbers are 120, 688, 774, 240
The greatest common divisor of numbers 120, 688, 774, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 688, 774, 240 is 2.

1. What is the GCD of 120, 688, 774, 240?

GCD of given numbers 120, 688, 774, 240 is 2

2. How to calculate the greatest common divisor of 120, 688, 774, 240?

We can find the highest common divisor of 120, 688, 774, 240 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, 688, 774, 240 i.e 2.

3. How can I use the GCD of 120, 688, 774, 240Calculator?

Out the numbers 120, 688, 774, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.