GCD of 680, 274, 491, 313 Calculator

Given Input numbers are 680, 274, 491, 313

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

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 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (680, 274, 491, 313) = 1.

Given numbers are 680, 274, 491, 313

The list of prime factors of all numbers are

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

Prime factors of 274 are 2 x 137

Prime factors of 491 are 491

Prime factors of 313 are 313

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

Given numbers are 680, 274, 491, 313

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

Apply this formula for all numbers.

Step1:

LCM(680, 274) = 93160

GCD(680, 274) = ( 680 x 274 ) / 93160

= 680 / 274

= 680

Step2:

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

= 2 / 491

= 2

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 680, 274, 491, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 476, 693, 119
• GCD of 928, 559, 334, 821
• GCD of 313, 518, 840, 371
• GCD of 428, 137, 571, 218
• GCD of 528, 427, 781, 443

Given numbers are 680, 274, 491, 313
The greatest common divisor of numbers 680, 274, 491, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 274, 491, 313 is 1.

1. What is the GCD of 680, 274, 491, 313?

GCD of given numbers 680, 274, 491, 313 is 1

2. How to calculate the greatest common divisor of 680, 274, 491, 313?

We can find the highest common divisor of 680, 274, 491, 313 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 680, 274, 491, 313 i.e 1.

3. How can I use the GCD of 680, 274, 491, 313Calculator?

Out the numbers 680, 274, 491, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.