GCD of 114, 109, 676, 897 Calculator

Given Input numbers are 114, 109, 676, 897

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 109 :

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

1, 109

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

GCD of numbers is the greatest common divisor

So, the GCD (114, 109, 676, 897) = 1.

Given numbers are 114, 109, 676, 897

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 109 are 109

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 897 are 3 x 13 x 23

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

Given numbers are 114, 109, 676, 897

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

Apply this formula for all numbers.

Step1:

LCM(114, 109) = 12426

GCD(114, 109) = ( 114 x 109 ) / 12426

= 114 / 109

= 114

Step2:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

Step3:

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

= 1 / 897

= 1

So, Greatest Common Divisor of 114, 109, 676, 897 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 121, 546, 709
• GCD of 984, 638, 965, 172
• GCD of 169, 486, 695, 303
• GCD of 614, 366, 844, 870
• GCD of 758, 997, 217, 826

Given numbers are 114, 109, 676, 897
The greatest common divisor of numbers 114, 109, 676, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 109, 676, 897 is 1.

1. What is the GCD of 114, 109, 676, 897?

GCD of given numbers 114, 109, 676, 897 is 1

2. How to calculate the greatest common divisor of 114, 109, 676, 897?

We can find the highest common divisor of 114, 109, 676, 897 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 114, 109, 676, 897 i.e 1.

3. How can I use the GCD of 114, 109, 676, 897Calculator?

Out the numbers 114, 109, 676, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.