GCD of 913, 345, 749 Calculator

Given Input numbers are 913, 345, 749

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

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (913, 345, 749) = 1.

Given numbers are 913, 345, 749

The list of prime factors of all numbers are

Prime factors of 913 are 11 x 83

Prime factors of 345 are 3 x 5 x 23

Prime factors of 749 are 7 x 107

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

Given numbers are 913, 345, 749

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

Apply this formula for all numbers.

Step1:

LCM(913, 345) = 314985

GCD(913, 345) = ( 913 x 345 ) / 314985

= 913 / 345

= 913

Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 913, 345, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 747, 548
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• GCD of 499, 145, 951
• GCD of 992, 832, 763
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Given numbers are 913, 345, 749
The greatest common divisor of numbers 913, 345, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 913, 345, 749 is 1.

1. What is the GCD of 913, 345, 749?

GCD of given numbers 913, 345, 749 is 1

2. How to calculate the greatest common divisor of 913, 345, 749?

We can find the highest common divisor of 913, 345, 749 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 913, 345, 749 i.e 1.

3. How can I use the GCD of 913, 345, 749Calculator?

Out the numbers 913, 345, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.