GCD of 313, 771, 301, 138 Calculator

Given Input numbers are 313, 771, 301, 138

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

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (313, 771, 301, 138) = 1.

Given numbers are 313, 771, 301, 138

The list of prime factors of all numbers are

Prime factors of 313 are 313

Prime factors of 771 are 3 x 257

Prime factors of 301 are 7 x 43

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 313, 771, 301, 138

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

Apply this formula for all numbers.

Step1:

LCM(313, 771) = 241323

GCD(313, 771) = ( 313 x 771 ) / 241323

= 313 / 771

= 313

Step2:

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

= 1 / 301

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 313, 771, 301, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 597, 358, 832
• GCD of 256, 242, 601, 340
• GCD of 589, 844, 651, 567
• GCD of 983, 208, 712, 842
• GCD of 908, 432, 713, 683

Given numbers are 313, 771, 301, 138
The greatest common divisor of numbers 313, 771, 301, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 771, 301, 138 is 1.

1. What is the GCD of 313, 771, 301, 138?

GCD of given numbers 313, 771, 301, 138 is 1

2. How to calculate the greatest common divisor of 313, 771, 301, 138?

We can find the highest common divisor of 313, 771, 301, 138 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 313, 771, 301, 138 i.e 1.

3. How can I use the GCD of 313, 771, 301, 138Calculator?

Out the numbers 313, 771, 301, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.