GCD of 735, 794, 349 Calculator

Given Input numbers are 735, 794, 349

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 349 :

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

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (735, 794, 349) = 1.

Given numbers are 735, 794, 349

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 794 are 2 x 397

Prime factors of 349 are 349

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

Given numbers are 735, 794, 349

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

Apply this formula for all numbers.

Step1:

LCM(735, 794) = 583590

GCD(735, 794) = ( 735 x 794 ) / 583590

= 735 / 794

= 735

Step2:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 735, 794, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 166, 151
• GCD of 366, 465, 494
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Given numbers are 735, 794, 349
The greatest common divisor of numbers 735, 794, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 794, 349 is 1.

1. What is the GCD of 735, 794, 349?

GCD of given numbers 735, 794, 349 is 1

2. How to calculate the greatest common divisor of 735, 794, 349?

We can find the highest common divisor of 735, 794, 349 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 735, 794, 349 i.e 1.

3. How can I use the GCD of 735, 794, 349Calculator?

Out the numbers 735, 794, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.