GCD of 274, 378, 66 Calculator

Given Input numbers are 274, 378, 66

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66

GCD of numbers is the greatest common divisor

So, the GCD (274, 378, 66) = 2.

Given numbers are 274, 378, 66

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 66 are 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 274, 378, 66 is 2.

Given numbers are 274, 378, 66

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

Apply this formula for all numbers.

Step1:

LCM(274, 378) = 51786

GCD(274, 378) = ( 274 x 378 ) / 51786

= 274 / 378

= 274

Step2:

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

= 2 / 66

= 2

So, Greatest Common Divisor of 274, 378, 66 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 407, 11
• GCD of 270, 198, 23
• GCD of 938, 947, 22
• GCD of 367, 785, 74
• GCD of 178, 370, 92

Given numbers are 274, 378, 66
The greatest common divisor of numbers 274, 378, 66 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 378, 66 is 2.

1. What is the GCD of 274, 378, 66?

GCD of given numbers 274, 378, 66 is 2

2. How to calculate the greatest common divisor of 274, 378, 66?

We can find the highest common divisor of 274, 378, 66 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 274, 378, 66 i.e 2.

3. How can I use the GCD of 274, 378, 66Calculator?

Out the numbers 274, 378, 66 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.