GCD of 797, 814, 100, 109 Calculator

Given Input numbers are 797, 814, 100, 109

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

Divisors of 797 :

The positive integer divisors of 797 that completely divides 797 are.

1, 797

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 109 :

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

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (797, 814, 100, 109) = 1.

Given numbers are 797, 814, 100, 109

The list of prime factors of all numbers are

Prime factors of 797 are 797

Prime factors of 814 are 2 x 11 x 37

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 109 are 109

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

Given numbers are 797, 814, 100, 109

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

Apply this formula for all numbers.

Step1:

LCM(797, 814) = 648758

GCD(797, 814) = ( 797 x 814 ) / 648758

= 797 / 814

= 797

Step2:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

Step3:

LCM(1, 109) = 109

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

= 1 / 109

= 1

So, Greatest Common Divisor of 797, 814, 100, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 193, 469, 566
• GCD of 133, 626, 412, 211
• GCD of 907, 501, 878, 281
• GCD of 369, 650, 214, 525
• GCD of 740, 232, 887, 829

Given numbers are 797, 814, 100, 109
The greatest common divisor of numbers 797, 814, 100, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 797, 814, 100, 109 is 1.

1. What is the GCD of 797, 814, 100, 109?

GCD of given numbers 797, 814, 100, 109 is 1

2. How to calculate the greatest common divisor of 797, 814, 100, 109?

We can find the highest common divisor of 797, 814, 100, 109 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 797, 814, 100, 109 i.e 1.

3. How can I use the GCD of 797, 814, 100, 109Calculator?

Out the numbers 797, 814, 100, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.