GCD of 749, 980, 825, 309 Calculator

Given Input numbers are 749, 980, 825, 309

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (749, 980, 825, 309) = 1.

Given numbers are 749, 980, 825, 309

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

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

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 309 are 3 x 103

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

Given numbers are 749, 980, 825, 309

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

Apply this formula for all numbers.

Step1:

LCM(749, 980) = 104860

GCD(749, 980) = ( 749 x 980 ) / 104860

= 749 / 980

= 749

Step2:

LCM(7, 825) = 5775

GCD(7, 825) = ( 7 x 825 ) / 5775

= 7 / 825

= 7

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 749, 980, 825, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 796, 427, 474
• GCD of 125, 342, 507, 736
• GCD of 259, 105, 734, 893
• GCD of 774, 447, 896, 863
• GCD of 782, 462, 725, 366

Given numbers are 749, 980, 825, 309
The greatest common divisor of numbers 749, 980, 825, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 980, 825, 309 is 1.

1. What is the GCD of 749, 980, 825, 309?

GCD of given numbers 749, 980, 825, 309 is 1

2. How to calculate the greatest common divisor of 749, 980, 825, 309?

We can find the highest common divisor of 749, 980, 825, 309 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 749, 980, 825, 309 i.e 1.

3. How can I use the GCD of 749, 980, 825, 309Calculator?

Out the numbers 749, 980, 825, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.