GCD of 680, 730, 299, 971 Calculator

Given Input numbers are 680, 730, 299, 971

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 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (680, 730, 299, 971) = 1.

Given numbers are 680, 730, 299, 971

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 730 are 2 x 5 x 73

Prime factors of 299 are 13 x 23

Prime factors of 971 are 971

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

Given numbers are 680, 730, 299, 971

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

Apply this formula for all numbers.

Step1:

LCM(680, 730) = 49640

GCD(680, 730) = ( 680 x 730 ) / 49640

= 680 / 730

= 680

Step2:

LCM(10, 299) = 2990

GCD(10, 299) = ( 10 x 299 ) / 2990

= 10 / 299

= 10

Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1

So, Greatest Common Divisor of 680, 730, 299, 971 is 1

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Given numbers are 680, 730, 299, 971
The greatest common divisor of numbers 680, 730, 299, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 730, 299, 971 is 1.

1. What is the GCD of 680, 730, 299, 971?

GCD of given numbers 680, 730, 299, 971 is 1

2. How to calculate the greatest common divisor of 680, 730, 299, 971?

We can find the highest common divisor of 680, 730, 299, 971 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, 730, 299, 971 i.e 1.

3. How can I use the GCD of 680, 730, 299, 971Calculator?

Out the numbers 680, 730, 299, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.