GCD of 490, 928, 340, 118 Calculator

Given Input numbers are 490, 928, 340, 118

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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

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 (490, 928, 340, 118) = 2.

Given numbers are 490, 928, 340, 118

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 118 are 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 490, 928, 340, 118 is 2.

Given numbers are 490, 928, 340, 118

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

Apply this formula for all numbers.

Step1:

LCM(490, 928) = 227360

GCD(490, 928) = ( 490 x 928 ) / 227360

= 490 / 928

= 490

Step2:

LCM(2, 340) = 340

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

= 2 / 340

= 2

Step3:

LCM(2, 118) = 118

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

= 2 / 118

= 2

So, Greatest Common Divisor of 490, 928, 340, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 327, 419, 709
• GCD of 396, 230, 386, 486
• GCD of 900, 726, 431, 251
• GCD of 680, 944, 209, 354
• GCD of 776, 553, 553, 395

Given numbers are 490, 928, 340, 118
The greatest common divisor of numbers 490, 928, 340, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 928, 340, 118 is 2.

1. What is the GCD of 490, 928, 340, 118?

GCD of given numbers 490, 928, 340, 118 is 2

2. How to calculate the greatest common divisor of 490, 928, 340, 118?

We can find the highest common divisor of 490, 928, 340, 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 490, 928, 340, 118 i.e 2.

3. How can I use the GCD of 490, 928, 340, 118Calculator?

Out the numbers 490, 928, 340, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.