GCD of 490, 917, 341, 920 Calculator

Given Input numbers are 490, 917, 341, 920

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 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (490, 917, 341, 920) = 1.

Given numbers are 490, 917, 341, 920

The list of prime factors of all numbers are

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

Prime factors of 917 are 7 x 131

Prime factors of 341 are 11 x 31

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 490, 917, 341, 920

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

Apply this formula for all numbers.

Step1:

LCM(490, 917) = 64190

GCD(490, 917) = ( 490 x 917 ) / 64190

= 490 / 917

= 490

Step2:

LCM(7, 341) = 2387

GCD(7, 341) = ( 7 x 341 ) / 2387

= 7 / 341

= 7

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 490, 917, 341, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 294, 172, 409
• GCD of 745, 523, 763, 624
• GCD of 349, 472, 596, 768
• GCD of 950, 788, 386, 464
• GCD of 410, 434, 399, 342

Given numbers are 490, 917, 341, 920
The greatest common divisor of numbers 490, 917, 341, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 917, 341, 920 is 1.

1. What is the GCD of 490, 917, 341, 920?

GCD of given numbers 490, 917, 341, 920 is 1

2. How to calculate the greatest common divisor of 490, 917, 341, 920?

We can find the highest common divisor of 490, 917, 341, 920 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, 917, 341, 920 i.e 1.

3. How can I use the GCD of 490, 917, 341, 920Calculator?

Out the numbers 490, 917, 341, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.