GCD of 272, 100, 925, 789 Calculator

Given Input numbers are 272, 100, 925, 789

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (272, 100, 925, 789) = 1.

Given numbers are 272, 100, 925, 789

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

Prime factors of 925 are 5 x 5 x 37

Prime factors of 789 are 3 x 263

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

Given numbers are 272, 100, 925, 789

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

Apply this formula for all numbers.

Step1:

LCM(272, 100) = 6800

GCD(272, 100) = ( 272 x 100 ) / 6800

= 272 / 100

= 272

Step2:

LCM(4, 925) = 3700

GCD(4, 925) = ( 4 x 925 ) / 3700

= 4 / 925

= 4

Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

So, Greatest Common Divisor of 272, 100, 925, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 642, 694, 326
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Given numbers are 272, 100, 925, 789
The greatest common divisor of numbers 272, 100, 925, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 100, 925, 789 is 1.

1. What is the GCD of 272, 100, 925, 789?

GCD of given numbers 272, 100, 925, 789 is 1

2. How to calculate the greatest common divisor of 272, 100, 925, 789?

We can find the highest common divisor of 272, 100, 925, 789 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 272, 100, 925, 789 i.e 1.

3. How can I use the GCD of 272, 100, 925, 789Calculator?

Out the numbers 272, 100, 925, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.