GCD of 105, 676, 626, 118 Calculator

Given Input numbers are 105, 676, 626, 118

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (105, 676, 626, 118) = 1.

Given numbers are 105, 676, 626, 118

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

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

Prime factors of 626 are 2 x 313

Prime factors of 118 are 2 x 59

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

Given numbers are 105, 676, 626, 118

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

Apply this formula for all numbers.

Step1:

LCM(105, 676) = 70980

GCD(105, 676) = ( 105 x 676 ) / 70980

= 105 / 676

= 105

Step2:

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

= 1 / 626

= 1

Step3:

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

= 1 / 118

= 1

So, Greatest Common Divisor of 105, 676, 626, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 920, 643, 970
• GCD of 589, 563, 597, 176
• GCD of 175, 941, 753, 470
• GCD of 205, 703, 112, 322
• GCD of 826, 305, 348, 218

Given numbers are 105, 676, 626, 118
The greatest common divisor of numbers 105, 676, 626, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 676, 626, 118 is 1.

1. What is the GCD of 105, 676, 626, 118?

GCD of given numbers 105, 676, 626, 118 is 1

2. How to calculate the greatest common divisor of 105, 676, 626, 118?

We can find the highest common divisor of 105, 676, 626, 118 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 105, 676, 626, 118 i.e 1.

3. How can I use the GCD of 105, 676, 626, 118Calculator?

Out the numbers 105, 676, 626, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.