GCD of 749, 694, 109, 442 Calculator

Given Input numbers are 749, 694, 109, 442

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 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (749, 694, 109, 442) = 1.

Given numbers are 749, 694, 109, 442

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 694 are 2 x 347

Prime factors of 109 are 109

Prime factors of 442 are 2 x 13 x 17

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

Given numbers are 749, 694, 109, 442

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

Apply this formula for all numbers.

Step1:

LCM(749, 694) = 519806

GCD(749, 694) = ( 749 x 694 ) / 519806

= 749 / 694

= 749

Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

Step3:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1

So, Greatest Common Divisor of 749, 694, 109, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 544, 545, 396
• GCD of 579, 270, 602, 736
• GCD of 156, 896, 812, 459
• GCD of 322, 973, 296, 448
• GCD of 438, 233, 567, 777

Given numbers are 749, 694, 109, 442
The greatest common divisor of numbers 749, 694, 109, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 694, 109, 442 is 1.

1. What is the GCD of 749, 694, 109, 442?

GCD of given numbers 749, 694, 109, 442 is 1

2. How to calculate the greatest common divisor of 749, 694, 109, 442?

We can find the highest common divisor of 749, 694, 109, 442 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, 694, 109, 442 i.e 1.

3. How can I use the GCD of 749, 694, 109, 442Calculator?

Out the numbers 749, 694, 109, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.