GCD of 490, 488, 742, 119 Calculator

Given Input numbers are 490, 488, 742, 119

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 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

GCD of numbers is the greatest common divisor

So, the GCD (490, 488, 742, 119) = 1.

Given numbers are 490, 488, 742, 119

The list of prime factors of all numbers are

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

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 742 are 2 x 7 x 53

Prime factors of 119 are 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 490, 488, 742, 119

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

Apply this formula for all numbers.

Step1:

LCM(490, 488) = 119560

GCD(490, 488) = ( 490 x 488 ) / 119560

= 490 / 488

= 490

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

= 2 / 119

= 2

So, Greatest Common Divisor of 490, 488, 742, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 758, 796, 578
• GCD of 165, 529, 772, 551
• GCD of 758, 629, 401, 771
• GCD of 356, 342, 809, 983
• GCD of 860, 376, 203, 408

Given numbers are 490, 488, 742, 119
The greatest common divisor of numbers 490, 488, 742, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 488, 742, 119 is 1.

1. What is the GCD of 490, 488, 742, 119?

GCD of given numbers 490, 488, 742, 119 is 1

2. How to calculate the greatest common divisor of 490, 488, 742, 119?

We can find the highest common divisor of 490, 488, 742, 119 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, 488, 742, 119 i.e 1.

3. How can I use the GCD of 490, 488, 742, 119Calculator?

Out the numbers 490, 488, 742, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.