GCD of 345, 980, 499, 767 Calculator

Given Input numbers are 345, 980, 499, 767

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 499 :

The positive integer divisors of 499 that completely divides 499 are.

1, 499

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

GCD of numbers is the greatest common divisor

So, the GCD (345, 980, 499, 767) = 1.

Given numbers are 345, 980, 499, 767

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 499 are 499

Prime factors of 767 are 13 x 59

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

Given numbers are 345, 980, 499, 767

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

Apply this formula for all numbers.

Step1:

LCM(345, 980) = 67620

GCD(345, 980) = ( 345 x 980 ) / 67620

= 345 / 980

= 345

Step2:

LCM(5, 499) = 2495

GCD(5, 499) = ( 5 x 499 ) / 2495

= 5 / 499

= 5

Step3:

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

= 1 / 767

= 1

So, Greatest Common Divisor of 345, 980, 499, 767 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 404, 367, 279
• GCD of 574, 796, 690, 419
• GCD of 154, 636, 664, 565
• GCD of 653, 102, 766, 564
• GCD of 450, 372, 569, 257

Given numbers are 345, 980, 499, 767
The greatest common divisor of numbers 345, 980, 499, 767 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 980, 499, 767 is 1.

1. What is the GCD of 345, 980, 499, 767?

GCD of given numbers 345, 980, 499, 767 is 1

2. How to calculate the greatest common divisor of 345, 980, 499, 767?

We can find the highest common divisor of 345, 980, 499, 767 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 345, 980, 499, 767 i.e 1.

3. How can I use the GCD of 345, 980, 499, 767Calculator?

Out the numbers 345, 980, 499, 767 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.