GCD of 742, 378, 665 Calculator

Given Input numbers are 742, 378, 665

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

GCD of numbers is the greatest common divisor

So, the GCD (742, 378, 665) = 7.

Given numbers are 742, 378, 665

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 665 are 5 x 7 x 19

The highest common occurrence is 7¹

Therefore, GCD of 742, 378, 665 is 7.

Given numbers are 742, 378, 665

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

Apply this formula for all numbers.

Step1:

LCM(742, 378) = 20034

GCD(742, 378) = ( 742 x 378 ) / 20034

= 742 / 378

= 742

Step2:

LCM(14, 665) = 1330

GCD(14, 665) = ( 14 x 665 ) / 1330

= 14 / 665

= 14

So, Greatest Common Divisor of 742, 378, 665 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 611, 446
• GCD of 111, 257, 523
• GCD of 905, 395, 427
• GCD of 145, 685, 466
• GCD of 952, 513, 961

Given numbers are 742, 378, 665
The greatest common divisor of numbers 742, 378, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 378, 665 is 7.

1. What is the GCD of 742, 378, 665?

GCD of given numbers 742, 378, 665 is 7

2. How to calculate the greatest common divisor of 742, 378, 665?

We can find the highest common divisor of 742, 378, 665 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 742, 378, 665 i.e 7.

3. How can I use the GCD of 742, 378, 665Calculator?

Out the numbers 742, 378, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.