GCD of 100, 675, 365, 791 Calculator

Given Input numbers are 100, 675, 365, 791

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

GCD of numbers is the greatest common divisor

So, the GCD (100, 675, 365, 791) = 1.

Given numbers are 100, 675, 365, 791

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 365 are 5 x 73

Prime factors of 791 are 7 x 113

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

Given numbers are 100, 675, 365, 791

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

Apply this formula for all numbers.

Step1:

LCM(100, 675) = 2700

GCD(100, 675) = ( 100 x 675 ) / 2700

= 100 / 675

= 100

Step2:

LCM(25, 365) = 1825

GCD(25, 365) = ( 25 x 365 ) / 1825

= 25 / 365

= 25

Step3:

LCM(5, 791) = 3955

GCD(5, 791) = ( 5 x 791 ) / 3955

= 5 / 791

= 5

So, Greatest Common Divisor of 100, 675, 365, 791 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 929, 716, 975
• GCD of 803, 120, 291, 298
• GCD of 834, 836, 337, 511
• GCD of 904, 198, 881, 472
• GCD of 182, 697, 880, 352

Given numbers are 100, 675, 365, 791
The greatest common divisor of numbers 100, 675, 365, 791 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 675, 365, 791 is 1.

1. What is the GCD of 100, 675, 365, 791?

GCD of given numbers 100, 675, 365, 791 is 1

2. How to calculate the greatest common divisor of 100, 675, 365, 791?

We can find the highest common divisor of 100, 675, 365, 791 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 100, 675, 365, 791 i.e 1.

3. How can I use the GCD of 100, 675, 365, 791Calculator?

Out the numbers 100, 675, 365, 791 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.