GCD of 749, 349, 175, 422 Calculator

Given Input numbers are 749, 349, 175, 422

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 349 :

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

1, 349

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (749, 349, 175, 422) = 1.

Given numbers are 749, 349, 175, 422

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 349 are 349

Prime factors of 175 are 5 x 5 x 7

Prime factors of 422 are 2 x 211

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

Given numbers are 749, 349, 175, 422

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

Apply this formula for all numbers.

Step1:

LCM(749, 349) = 261401

GCD(749, 349) = ( 749 x 349 ) / 261401

= 749 / 349

= 749

Step2:

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

= 1 / 175

= 1

Step3:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1

So, Greatest Common Divisor of 749, 349, 175, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 659, 273, 400
• GCD of 358, 779, 460, 875
• GCD of 700, 629, 996, 710
• GCD of 592, 357, 143, 203
• GCD of 124, 458, 521, 557

Given numbers are 749, 349, 175, 422
The greatest common divisor of numbers 749, 349, 175, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 349, 175, 422 is 1.

1. What is the GCD of 749, 349, 175, 422?

GCD of given numbers 749, 349, 175, 422 is 1

2. How to calculate the greatest common divisor of 749, 349, 175, 422?

We can find the highest common divisor of 749, 349, 175, 422 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, 349, 175, 422 i.e 1.

3. How can I use the GCD of 749, 349, 175, 422Calculator?

Out the numbers 749, 349, 175, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.