GCD of 674, 612, 343, 738 Calculator

Given Input numbers are 674, 612, 343, 738

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (674, 612, 343, 738) = 1.

Given numbers are 674, 612, 343, 738

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 343 are 7 x 7 x 7

Prime factors of 738 are 2 x 3 x 3 x 41

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

Given numbers are 674, 612, 343, 738

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

Apply this formula for all numbers.

Step1:

LCM(674, 612) = 206244

GCD(674, 612) = ( 674 x 612 ) / 206244

= 674 / 612

= 674

Step2:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 674, 612, 343, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 459, 661, 875
• GCD of 742, 996, 768, 649
• GCD of 962, 476, 828, 891
• GCD of 454, 221, 968, 756
• GCD of 871, 110, 978, 125

Given numbers are 674, 612, 343, 738
The greatest common divisor of numbers 674, 612, 343, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 612, 343, 738 is 1.

1. What is the GCD of 674, 612, 343, 738?

GCD of given numbers 674, 612, 343, 738 is 1

2. How to calculate the greatest common divisor of 674, 612, 343, 738?

We can find the highest common divisor of 674, 612, 343, 738 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 674, 612, 343, 738 i.e 1.

3. How can I use the GCD of 674, 612, 343, 738Calculator?

Out the numbers 674, 612, 343, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.