GCD of 825, 714, 292, 991 Calculator

Given Input numbers are 825, 714, 292, 991

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

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 (825, 714, 292, 991) = 1.

Given numbers are 825, 714, 292, 991

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 292 are 2 x 2 x 73

Prime factors of 991 are 991

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

Given numbers are 825, 714, 292, 991

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

Apply this formula for all numbers.

Step1:

LCM(825, 714) = 196350

GCD(825, 714) = ( 825 x 714 ) / 196350

= 825 / 714

= 825

Step2:

LCM(3, 292) = 876

GCD(3, 292) = ( 3 x 292 ) / 876

= 3 / 292

= 3

Step3:

LCM(1, 991) = 991

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

= 1 / 991

= 1

So, Greatest Common Divisor of 825, 714, 292, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 296, 836, 319
• GCD of 539, 427, 739, 713
• GCD of 950, 220, 216, 342
• GCD of 372, 322, 887, 248
• GCD of 846, 593, 980, 982

Given numbers are 825, 714, 292, 991
The greatest common divisor of numbers 825, 714, 292, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 714, 292, 991 is 1.

1. What is the GCD of 825, 714, 292, 991?

GCD of given numbers 825, 714, 292, 991 is 1

2. How to calculate the greatest common divisor of 825, 714, 292, 991?

We can find the highest common divisor of 825, 714, 292, 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 825, 714, 292, 991 i.e 1.

3. How can I use the GCD of 825, 714, 292, 991Calculator?

Out the numbers 825, 714, 292, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.