GCD of 825, 921, 305, 980 Calculator

Given Input numbers are 825, 921, 305, 980

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 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (825, 921, 305, 980) = 1.

Given numbers are 825, 921, 305, 980

The list of prime factors of all numbers are

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

Prime factors of 921 are 3 x 307

Prime factors of 305 are 5 x 61

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

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

Given numbers are 825, 921, 305, 980

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

Apply this formula for all numbers.

Step1:

LCM(825, 921) = 253275

GCD(825, 921) = ( 825 x 921 ) / 253275

= 825 / 921

= 825

Step2:

LCM(3, 305) = 915

GCD(3, 305) = ( 3 x 305 ) / 915

= 3 / 305

= 3

Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

So, Greatest Common Divisor of 825, 921, 305, 980 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 424, 176, 631
• GCD of 232, 469, 247, 338
• GCD of 188, 389, 334, 221
• GCD of 632, 304, 730, 153
• GCD of 908, 837, 908, 301

Given numbers are 825, 921, 305, 980
The greatest common divisor of numbers 825, 921, 305, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 921, 305, 980 is 1.

1. What is the GCD of 825, 921, 305, 980?

GCD of given numbers 825, 921, 305, 980 is 1

2. How to calculate the greatest common divisor of 825, 921, 305, 980?

We can find the highest common divisor of 825, 921, 305, 980 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, 921, 305, 980 i.e 1.

3. How can I use the GCD of 825, 921, 305, 980Calculator?

Out the numbers 825, 921, 305, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.