GCD of 494, 680, 921, 991 Calculator

Given Input numbers are 494, 680, 921, 991

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (494, 680, 921, 991) = 1.

Given numbers are 494, 680, 921, 991

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 921 are 3 x 307

Prime factors of 991 are 991

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

Given numbers are 494, 680, 921, 991

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

Apply this formula for all numbers.

Step1:

LCM(494, 680) = 167960

GCD(494, 680) = ( 494 x 680 ) / 167960

= 494 / 680

= 494

Step2:

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

= 2 / 921

= 2

Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1

So, Greatest Common Divisor of 494, 680, 921, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 641, 635, 383
• GCD of 775, 154, 810, 701
• GCD of 722, 393, 930, 267
• GCD of 945, 172, 103, 455
• GCD of 422, 829, 611, 126

Given numbers are 494, 680, 921, 991
The greatest common divisor of numbers 494, 680, 921, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 680, 921, 991 is 1.

1. What is the GCD of 494, 680, 921, 991?

GCD of given numbers 494, 680, 921, 991 is 1

2. How to calculate the greatest common divisor of 494, 680, 921, 991?

We can find the highest common divisor of 494, 680, 921, 991 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 494, 680, 921, 991 i.e 1.

3. How can I use the GCD of 494, 680, 921, 991Calculator?

Out the numbers 494, 680, 921, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.