GCD of 290, 658, 982, 118 Calculator

Given Input numbers are 290, 658, 982, 118

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 118 :

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

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (290, 658, 982, 118) = 2.

Given numbers are 290, 658, 982, 118

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 658 are 2 x 7 x 47

Prime factors of 982 are 2 x 491

Prime factors of 118 are 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 290, 658, 982, 118 is 2.

Given numbers are 290, 658, 982, 118

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

Apply this formula for all numbers.

Step1:

LCM(290, 658) = 95410

GCD(290, 658) = ( 290 x 658 ) / 95410

= 290 / 658

= 290

Step2:

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

= 2 / 982

= 2

Step3:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

So, Greatest Common Divisor of 290, 658, 982, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 456, 298, 362
• GCD of 845, 862, 475, 857
• GCD of 882, 325, 667, 766
• GCD of 784, 911, 640, 383
• GCD of 722, 357, 143, 850

Given numbers are 290, 658, 982, 118
The greatest common divisor of numbers 290, 658, 982, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 658, 982, 118 is 2.

1. What is the GCD of 290, 658, 982, 118?

GCD of given numbers 290, 658, 982, 118 is 2

2. How to calculate the greatest common divisor of 290, 658, 982, 118?

We can find the highest common divisor of 290, 658, 982, 118 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 290, 658, 982, 118 i.e 2.

3. How can I use the GCD of 290, 658, 982, 118Calculator?

Out the numbers 290, 658, 982, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.