GCD of 108, 993, 745, 677 Calculator

Given Input numbers are 108, 993, 745, 677

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

GCD of numbers is the greatest common divisor

So, the GCD (108, 993, 745, 677) = 1.

Given numbers are 108, 993, 745, 677

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 993 are 3 x 331

Prime factors of 745 are 5 x 149

Prime factors of 677 are 677

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

Given numbers are 108, 993, 745, 677

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

Apply this formula for all numbers.

Step1:

LCM(108, 993) = 35748

GCD(108, 993) = ( 108 x 993 ) / 35748

= 108 / 993

= 108

Step2:

LCM(3, 745) = 2235

GCD(3, 745) = ( 3 x 745 ) / 2235

= 3 / 745

= 3

Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1

So, Greatest Common Divisor of 108, 993, 745, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 253, 874, 424
• GCD of 402, 331, 777, 162
• GCD of 521, 956, 745, 472
• GCD of 265, 612, 431, 172
• GCD of 182, 120, 138, 422

Given numbers are 108, 993, 745, 677
The greatest common divisor of numbers 108, 993, 745, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 993, 745, 677 is 1.

1. What is the GCD of 108, 993, 745, 677?

GCD of given numbers 108, 993, 745, 677 is 1

2. How to calculate the greatest common divisor of 108, 993, 745, 677?

We can find the highest common divisor of 108, 993, 745, 677 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 108, 993, 745, 677 i.e 1.

3. How can I use the GCD of 108, 993, 745, 677Calculator?

Out the numbers 108, 993, 745, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.