GCD of 746, 378, 28 Calculator

Given Input numbers are 746, 378, 28

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

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 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

GCD of numbers is the greatest common divisor

So, the GCD (746, 378, 28) = 2.

Given numbers are 746, 378, 28

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

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

Prime factors of 28 are 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 746, 378, 28 is 2.

Given numbers are 746, 378, 28

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

Apply this formula for all numbers.

Step1:

LCM(746, 378) = 140994

GCD(746, 378) = ( 746 x 378 ) / 140994

= 746 / 378

= 746

Step2:

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

= 2 / 28

= 2

So, Greatest Common Divisor of 746, 378, 28 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 212, 50
• GCD of 772, 497, 85
• GCD of 418, 251, 70
• GCD of 950, 807, 76
• GCD of 911, 118, 47

Given numbers are 746, 378, 28
The greatest common divisor of numbers 746, 378, 28 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 378, 28 is 2.

1. What is the GCD of 746, 378, 28?

GCD of given numbers 746, 378, 28 is 2

2. How to calculate the greatest common divisor of 746, 378, 28?

We can find the highest common divisor of 746, 378, 28 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 746, 378, 28 i.e 2.

3. How can I use the GCD of 746, 378, 28Calculator?

Out the numbers 746, 378, 28 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.