GCD of 676, 204, 335, 114 Calculator

Given Input numbers are 676, 204, 335, 114

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

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 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 335 :

The positive integer divisors of 335 that completely divides 335 are.

1, 5, 67, 335

Divisors of 114 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (676, 204, 335, 114) = 1.

Given numbers are 676, 204, 335, 114

The list of prime factors of all numbers are

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

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 335 are 5 x 67

Prime factors of 114 are 2 x 3 x 19

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

Given numbers are 676, 204, 335, 114

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

Apply this formula for all numbers.

Step1:

LCM(676, 204) = 34476

GCD(676, 204) = ( 676 x 204 ) / 34476

= 676 / 204

= 676

Step2:

LCM(4, 335) = 1340

GCD(4, 335) = ( 4 x 335 ) / 1340

= 4 / 335

= 4

Step3:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

So, Greatest Common Divisor of 676, 204, 335, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 636, 895, 969
• GCD of 142, 566, 821, 931
• GCD of 260, 854, 211, 115
• GCD of 347, 156, 773, 817
• GCD of 741, 332, 210, 812

Given numbers are 676, 204, 335, 114
The greatest common divisor of numbers 676, 204, 335, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 204, 335, 114 is 1.

1. What is the GCD of 676, 204, 335, 114?

GCD of given numbers 676, 204, 335, 114 is 1

2. How to calculate the greatest common divisor of 676, 204, 335, 114?

We can find the highest common divisor of 676, 204, 335, 114 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 676, 204, 335, 114 i.e 1.

3. How can I use the GCD of 676, 204, 335, 114Calculator?

Out the numbers 676, 204, 335, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.