GCD of 749, 242, 730 Calculator

Given Input numbers are 749, 242, 730

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

Divisors of 749 :

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

1, 7, 107, 749

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (749, 242, 730) = 1.

Given numbers are 749, 242, 730

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 242 are 2 x 11 x 11

Prime factors of 730 are 2 x 5 x 73

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

Given numbers are 749, 242, 730

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

Apply this formula for all numbers.

Step1:

LCM(749, 242) = 181258

GCD(749, 242) = ( 749 x 242 ) / 181258

= 749 / 242

= 749

Step2:

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

= 1 / 730

= 1

So, Greatest Common Divisor of 749, 242, 730 is 1

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Given numbers are 749, 242, 730
The greatest common divisor of numbers 749, 242, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 242, 730 is 1.

1. What is the GCD of 749, 242, 730?

GCD of given numbers 749, 242, 730 is 1

2. How to calculate the greatest common divisor of 749, 242, 730?

We can find the highest common divisor of 749, 242, 730 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 749, 242, 730 i.e 1.

3. How can I use the GCD of 749, 242, 730Calculator?

Out the numbers 749, 242, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.