GCD of 789, 147, 212, 308 Calculator

Given Input numbers are 789, 147, 212, 308

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (789, 147, 212, 308) = 1.

Given numbers are 789, 147, 212, 308

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 147 are 3 x 7 x 7

Prime factors of 212 are 2 x 2 x 53

Prime factors of 308 are 2 x 2 x 7 x 11

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

Given numbers are 789, 147, 212, 308

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

Apply this formula for all numbers.

Step1:

LCM(789, 147) = 38661

GCD(789, 147) = ( 789 x 147 ) / 38661

= 789 / 147

= 789

Step2:

LCM(3, 212) = 636

GCD(3, 212) = ( 3 x 212 ) / 636

= 3 / 212

= 3

Step3:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

So, Greatest Common Divisor of 789, 147, 212, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 160, 469, 919
• GCD of 819, 798, 169, 560
• GCD of 867, 149, 736, 640
• GCD of 382, 310, 255, 156
• GCD of 730, 320, 352, 933

Given numbers are 789, 147, 212, 308
The greatest common divisor of numbers 789, 147, 212, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 147, 212, 308 is 1.

1. What is the GCD of 789, 147, 212, 308?

GCD of given numbers 789, 147, 212, 308 is 1

2. How to calculate the greatest common divisor of 789, 147, 212, 308?

We can find the highest common divisor of 789, 147, 212, 308 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 789, 147, 212, 308 i.e 1.

3. How can I use the GCD of 789, 147, 212, 308Calculator?

Out the numbers 789, 147, 212, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.