GCD of 725, 697, 965, 991 Calculator

Given Input numbers are 725, 697, 965, 991

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 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (725, 697, 965, 991) = 1.

Given numbers are 725, 697, 965, 991

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 697 are 17 x 41

Prime factors of 965 are 5 x 193

Prime factors of 991 are 991

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

Given numbers are 725, 697, 965, 991

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

Apply this formula for all numbers.

Step1:

LCM(725, 697) = 505325

GCD(725, 697) = ( 725 x 697 ) / 505325

= 725 / 697

= 725

Step2:

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

= 1 / 965

= 1

Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1

So, Greatest Common Divisor of 725, 697, 965, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 713, 714, 764
• GCD of 295, 647, 589, 496
• GCD of 488, 931, 886, 146
• GCD of 819, 392, 585, 563
• GCD of 832, 297, 871, 348

Given numbers are 725, 697, 965, 991
The greatest common divisor of numbers 725, 697, 965, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 697, 965, 991 is 1.

1. What is the GCD of 725, 697, 965, 991?

GCD of given numbers 725, 697, 965, 991 is 1

2. How to calculate the greatest common divisor of 725, 697, 965, 991?

We can find the highest common divisor of 725, 697, 965, 991 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, 697, 965, 991 i.e 1.

3. How can I use the GCD of 725, 697, 965, 991Calculator?

Out the numbers 725, 697, 965, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.