GCD of 118, 120, 688, 340 Calculator

Given Input numbers are 118, 120, 688, 340

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (118, 120, 688, 340) = 2.

Given numbers are 118, 120, 688, 340

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

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 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 118, 120, 688, 340 is 2.

Given numbers are 118, 120, 688, 340

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

Apply this formula for all numbers.

Step1:

LCM(118, 120) = 7080

GCD(118, 120) = ( 118 x 120 ) / 7080

= 118 / 120

= 118

Step2:

LCM(2, 688) = 688

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

= 2 / 688

= 2

Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 118, 120, 688, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 874, 187, 668
• GCD of 443, 105, 847, 113
• GCD of 862, 437, 196, 650
• GCD of 642, 319, 581, 266
• GCD of 320, 682, 770, 542

Given numbers are 118, 120, 688, 340
The greatest common divisor of numbers 118, 120, 688, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 120, 688, 340 is 2.

1. What is the GCD of 118, 120, 688, 340?

GCD of given numbers 118, 120, 688, 340 is 2

2. How to calculate the greatest common divisor of 118, 120, 688, 340?

We can find the highest common divisor of 118, 120, 688, 340 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 118, 120, 688, 340 i.e 2.

3. How can I use the GCD of 118, 120, 688, 340Calculator?

Out the numbers 118, 120, 688, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.