GCD of 297, 473, 349, 748 Calculator

Given Input numbers are 297, 473, 349, 748

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 473 :

The positive integer divisors of 473 that completely divides 473 are.

1, 11, 43, 473

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (297, 473, 349, 748) = 1.

Given numbers are 297, 473, 349, 748

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 473 are 11 x 43

Prime factors of 349 are 349

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 297, 473, 349, 748

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

Apply this formula for all numbers.

Step1:

LCM(297, 473) = 12771

GCD(297, 473) = ( 297 x 473 ) / 12771

= 297 / 473

= 297

Step2:

LCM(11, 349) = 3839

GCD(11, 349) = ( 11 x 349 ) / 3839

= 11 / 349

= 11

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 297, 473, 349, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 672, 607, 655
• GCD of 342, 101, 496, 520
• GCD of 416, 240, 444, 366
• GCD of 724, 741, 983, 959
• GCD of 888, 700, 614, 536

Given numbers are 297, 473, 349, 748
The greatest common divisor of numbers 297, 473, 349, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 473, 349, 748 is 1.

1. What is the GCD of 297, 473, 349, 748?

GCD of given numbers 297, 473, 349, 748 is 1

2. How to calculate the greatest common divisor of 297, 473, 349, 748?

We can find the highest common divisor of 297, 473, 349, 748 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 297, 473, 349, 748 i.e 1.

3. How can I use the GCD of 297, 473, 349, 748Calculator?

Out the numbers 297, 473, 349, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.