GCD of 125, 800, 975, 995 Calculator

Given Input numbers are 125, 800, 975, 995

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 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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 995 :

The positive integer divisors of 995 that completely divides 995 are.

1, 5, 199, 995

GCD of numbers is the greatest common divisor

So, the GCD (125, 800, 975, 995) = 5.

Given numbers are 125, 800, 975, 995

The list of prime factors of all numbers are

Prime factors of 125 are 5 x 5 x 5

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

Prime factors of 995 are 5 x 199

The highest common occurrence is 5¹

Therefore, GCD of 125, 800, 975, 995 is 5.

Given numbers are 125, 800, 975, 995

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

Apply this formula for all numbers.

Step1:

LCM(125, 800) = 4000

GCD(125, 800) = ( 125 x 800 ) / 4000

= 125 / 800

= 125

Step2:

LCM(25, 975) = 975

GCD(25, 975) = ( 25 x 975 ) / 975

= 25 / 975

= 25

Step3:

LCM(25, 995) = 4975

GCD(25, 995) = ( 25 x 995 ) / 4975

= 25 / 995

= 25

So, Greatest Common Divisor of 125, 800, 975, 995 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 335, 263, 390
• GCD of 427, 581, 408, 313
• GCD of 449, 214, 722, 288
• GCD of 682, 541, 904, 811
• GCD of 389, 400, 159, 386

Given numbers are 125, 800, 975, 995
The greatest common divisor of numbers 125, 800, 975, 995 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 800, 975, 995 is 5.

1. What is the GCD of 125, 800, 975, 995?

GCD of given numbers 125, 800, 975, 995 is 5

2. How to calculate the greatest common divisor of 125, 800, 975, 995?

We can find the highest common divisor of 125, 800, 975, 995 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, 800, 975, 995 i.e 5.

3. How can I use the GCD of 125, 800, 975, 995Calculator?

Out the numbers 125, 800, 975, 995 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.