GCD of 774, 270, 747, 210 Calculator

Given Input numbers are 774, 270, 747, 210

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

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

GCD of numbers is the greatest common divisor

So, the GCD (774, 270, 747, 210) = 3.

Given numbers are 774, 270, 747, 210

The list of prime factors of all numbers are

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

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 747 are 3 x 3 x 83

Prime factors of 210 are 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 774, 270, 747, 210 is 3.

Given numbers are 774, 270, 747, 210

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

Apply this formula for all numbers.

Step1:

LCM(774, 270) = 11610

GCD(774, 270) = ( 774 x 270 ) / 11610

= 774 / 270

= 774

Step2:

LCM(18, 747) = 1494

GCD(18, 747) = ( 18 x 747 ) / 1494

= 18 / 747

= 18

Step3:

LCM(9, 210) = 630

GCD(9, 210) = ( 9 x 210 ) / 630

= 9 / 210

= 9

So, Greatest Common Divisor of 774, 270, 747, 210 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 912, 460, 184
• GCD of 584, 968, 970, 974
• GCD of 449, 593, 200, 196
• GCD of 690, 400, 755, 660
• GCD of 636, 372, 941, 607

Given numbers are 774, 270, 747, 210
The greatest common divisor of numbers 774, 270, 747, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 270, 747, 210 is 3.

1. What is the GCD of 774, 270, 747, 210?

GCD of given numbers 774, 270, 747, 210 is 3

2. How to calculate the greatest common divisor of 774, 270, 747, 210?

We can find the highest common divisor of 774, 270, 747, 210 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 774, 270, 747, 210 i.e 3.

3. How can I use the GCD of 774, 270, 747, 210Calculator?

Out the numbers 774, 270, 747, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.