GCD of 125, 975, 23, 738 Calculator

Given Input numbers are 125, 975, 23, 738

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

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 23 :

The positive integer divisors of 23 that completely divides 23 are.

1, 23

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (125, 975, 23, 738) = 1.

Given numbers are 125, 975, 23, 738

The list of prime factors of all numbers are

Prime factors of 125 are 5 x 5 x 5

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 23 are 23

Prime factors of 738 are 2 x 3 x 3 x 41

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

Given numbers are 125, 975, 23, 738

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

Apply this formula for all numbers.

Step1:

LCM(125, 975) = 4875

GCD(125, 975) = ( 125 x 975 ) / 4875

= 125 / 975

= 125

Step2:

LCM(25, 23) = 575

GCD(25, 23) = ( 25 x 23 ) / 575

= 25 / 23

= 25

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 125, 975, 23, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 314, 21, 726
• GCD of 190, 632, 83, 538
• GCD of 373, 995, 10, 333
• GCD of 995, 705, 45, 722
• GCD of 704, 593, 44, 178

Given numbers are 125, 975, 23, 738
The greatest common divisor of numbers 125, 975, 23, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 975, 23, 738 is 1.

1. What is the GCD of 125, 975, 23, 738?

GCD of given numbers 125, 975, 23, 738 is 1

2. How to calculate the greatest common divisor of 125, 975, 23, 738?

We can find the highest common divisor of 125, 975, 23, 738 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 125, 975, 23, 738 i.e 1.

3. How can I use the GCD of 125, 975, 23, 738Calculator?

Out the numbers 125, 975, 23, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.