GCD of 538, 675, 100, 725 Calculator

Given Input numbers are 538, 675, 100, 725

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

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 100 :

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

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

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (538, 675, 100, 725) = 1.

Given numbers are 538, 675, 100, 725

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

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

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

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 538, 675, 100, 725

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

Apply this formula for all numbers.

Step1:

LCM(538, 675) = 363150

GCD(538, 675) = ( 538 x 675 ) / 363150

= 538 / 675

= 538

Step2:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

Step3:

LCM(1, 725) = 725

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

= 1 / 725

= 1

So, Greatest Common Divisor of 538, 675, 100, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 823, 996, 436
• GCD of 271, 712, 952, 628
• GCD of 284, 756, 258, 996
• GCD of 813, 281, 506, 413
• GCD of 163, 952, 825, 623

Given numbers are 538, 675, 100, 725
The greatest common divisor of numbers 538, 675, 100, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 675, 100, 725 is 1.

1. What is the GCD of 538, 675, 100, 725?

GCD of given numbers 538, 675, 100, 725 is 1

2. How to calculate the greatest common divisor of 538, 675, 100, 725?

We can find the highest common divisor of 538, 675, 100, 725 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 538, 675, 100, 725 i.e 1.

3. How can I use the GCD of 538, 675, 100, 725Calculator?

Out the numbers 538, 675, 100, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.