GCD of 118, 922, 144, 682 Calculator

Given Input numbers are 118, 922, 144, 682

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 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (118, 922, 144, 682) = 2.

Given numbers are 118, 922, 144, 682

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 922 are 2 x 461

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 118, 922, 144, 682 is 2.

Given numbers are 118, 922, 144, 682

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

Apply this formula for all numbers.

Step1:

LCM(118, 922) = 54398

GCD(118, 922) = ( 118 x 922 ) / 54398

= 118 / 922

= 118

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

Step3:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

So, Greatest Common Divisor of 118, 922, 144, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 542, 721, 367
• GCD of 749, 311, 711, 591
• GCD of 589, 275, 357, 535
• GCD of 841, 909, 444, 495
• GCD of 184, 110, 291, 148

Given numbers are 118, 922, 144, 682
The greatest common divisor of numbers 118, 922, 144, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 922, 144, 682 is 2.

1. What is the GCD of 118, 922, 144, 682?

GCD of given numbers 118, 922, 144, 682 is 2

2. How to calculate the greatest common divisor of 118, 922, 144, 682?

We can find the highest common divisor of 118, 922, 144, 682 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, 922, 144, 682 i.e 2.

3. How can I use the GCD of 118, 922, 144, 682Calculator?

Out the numbers 118, 922, 144, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.