GCD of 725, 665, 975, 998 Calculator

Given Input numbers are 725, 665, 975, 998

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

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (725, 665, 975, 998) = 1.

Given numbers are 725, 665, 975, 998

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 665 are 5 x 7 x 19

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

Prime factors of 998 are 2 x 499

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

Given numbers are 725, 665, 975, 998

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

Apply this formula for all numbers.

Step1:

LCM(725, 665) = 96425

GCD(725, 665) = ( 725 x 665 ) / 96425

= 725 / 665

= 725

Step2:

LCM(5, 975) = 975

GCD(5, 975) = ( 5 x 975 ) / 975

= 5 / 975

= 5

Step3:

LCM(5, 998) = 4990

GCD(5, 998) = ( 5 x 998 ) / 4990

= 5 / 998

= 5

So, Greatest Common Divisor of 725, 665, 975, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 817, 147, 552
• GCD of 381, 610, 660, 135
• GCD of 452, 450, 648, 123
• GCD of 671, 559, 415, 123
• GCD of 653, 276, 110, 930

Given numbers are 725, 665, 975, 998
The greatest common divisor of numbers 725, 665, 975, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 665, 975, 998 is 1.

1. What is the GCD of 725, 665, 975, 998?

GCD of given numbers 725, 665, 975, 998 is 1

2. How to calculate the greatest common divisor of 725, 665, 975, 998?

We can find the highest common divisor of 725, 665, 975, 998 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 725, 665, 975, 998 i.e 1.

3. How can I use the GCD of 725, 665, 975, 998Calculator?

Out the numbers 725, 665, 975, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.