GCD of 109, 126, 802, 349 Calculator

Given Input numbers are 109, 126, 802, 349

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

Divisors of 109 :

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

1, 109

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

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 (109, 126, 802, 349) = 1.

Given numbers are 109, 126, 802, 349

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 802 are 2 x 401

Prime factors of 349 are 349

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

Given numbers are 109, 126, 802, 349

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

Apply this formula for all numbers.

Step1:

LCM(109, 126) = 13734

GCD(109, 126) = ( 109 x 126 ) / 13734

= 109 / 126

= 109

Step2:

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

= 1 / 802

= 1

Step3:

LCM(1, 349) = 349

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

= 1 / 349

= 1

So, Greatest Common Divisor of 109, 126, 802, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 362, 673, 725
• GCD of 134, 855, 254, 483
• GCD of 412, 360, 911, 904
• GCD of 274, 306, 239, 347
• GCD of 993, 820, 159, 398

Given numbers are 109, 126, 802, 349
The greatest common divisor of numbers 109, 126, 802, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 126, 802, 349 is 1.

1. What is the GCD of 109, 126, 802, 349?

GCD of given numbers 109, 126, 802, 349 is 1

2. How to calculate the greatest common divisor of 109, 126, 802, 349?

We can find the highest common divisor of 109, 126, 802, 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 109, 126, 802, 349 i.e 1.

3. How can I use the GCD of 109, 126, 802, 349Calculator?

Out the numbers 109, 126, 802, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.