GCD of 309, 774, 829, 948 Calculator

Given Input numbers are 309, 774, 829, 948

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (309, 774, 829, 948) = 1.

Given numbers are 309, 774, 829, 948

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 829 are 829

Prime factors of 948 are 2 x 2 x 3 x 79

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

Given numbers are 309, 774, 829, 948

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

Apply this formula for all numbers.

Step1:

LCM(309, 774) = 79722

GCD(309, 774) = ( 309 x 774 ) / 79722

= 309 / 774

= 309

Step2:

LCM(3, 829) = 2487

GCD(3, 829) = ( 3 x 829 ) / 2487

= 3 / 829

= 3

Step3:

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

= 1 / 948

= 1

So, Greatest Common Divisor of 309, 774, 829, 948 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 171, 413, 203
• GCD of 388, 887, 120, 284
• GCD of 681, 674, 246, 971
• GCD of 531, 323, 384, 631
• GCD of 665, 245, 247, 296

Given numbers are 309, 774, 829, 948
The greatest common divisor of numbers 309, 774, 829, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 774, 829, 948 is 1.

1. What is the GCD of 309, 774, 829, 948?

GCD of given numbers 309, 774, 829, 948 is 1

2. How to calculate the greatest common divisor of 309, 774, 829, 948?

We can find the highest common divisor of 309, 774, 829, 948 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 309, 774, 829, 948 i.e 1.

3. How can I use the GCD of 309, 774, 829, 948Calculator?

Out the numbers 309, 774, 829, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.