GCD of 827, 740, 725, 108 Calculator

Given Input numbers are 827, 740, 725, 108

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

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

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

GCD of numbers is the greatest common divisor

So, the GCD (827, 740, 725, 108) = 1.

Given numbers are 827, 740, 725, 108

The list of prime factors of all numbers are

Prime factors of 827 are 827

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 725 are 5 x 5 x 29

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

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

Given numbers are 827, 740, 725, 108

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

Apply this formula for all numbers.

Step1:

LCM(827, 740) = 611980

GCD(827, 740) = ( 827 x 740 ) / 611980

= 827 / 740

= 827

Step2:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

Step3:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

So, Greatest Common Divisor of 827, 740, 725, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 211, 624, 481
• GCD of 630, 888, 804, 388
• GCD of 286, 283, 758, 520
• GCD of 563, 928, 887, 148
• GCD of 963, 376, 271, 977

Given numbers are 827, 740, 725, 108
The greatest common divisor of numbers 827, 740, 725, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 740, 725, 108 is 1.

1. What is the GCD of 827, 740, 725, 108?

GCD of given numbers 827, 740, 725, 108 is 1

2. How to calculate the greatest common divisor of 827, 740, 725, 108?

We can find the highest common divisor of 827, 740, 725, 108 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 827, 740, 725, 108 i.e 1.

3. How can I use the GCD of 827, 740, 725, 108Calculator?

Out the numbers 827, 740, 725, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.