GCD of 975, 896, 300, 245 Calculator

Given Input numbers are 975, 896, 300, 245

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

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

GCD of numbers is the greatest common divisor

So, the GCD (975, 896, 300, 245) = 1.

Given numbers are 975, 896, 300, 245

The list of prime factors of all numbers are

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

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 245 are 5 x 7 x 7

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

Given numbers are 975, 896, 300, 245

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

Apply this formula for all numbers.

Step1:

LCM(975, 896) = 873600

GCD(975, 896) = ( 975 x 896 ) / 873600

= 975 / 896

= 975

Step2:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

Step3:

LCM(1, 245) = 245

GCD(1, 245) = ( 1 x 245 ) / 245

= 1 / 245

= 1

So, Greatest Common Divisor of 975, 896, 300, 245 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 138, 868, 712
• GCD of 437, 825, 870, 928
• GCD of 320, 689, 762, 525
• GCD of 789, 258, 333, 120
• GCD of 379, 130, 653, 288

Given numbers are 975, 896, 300, 245
The greatest common divisor of numbers 975, 896, 300, 245 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 896, 300, 245 is 1.

1. What is the GCD of 975, 896, 300, 245?

GCD of given numbers 975, 896, 300, 245 is 1

2. How to calculate the greatest common divisor of 975, 896, 300, 245?

We can find the highest common divisor of 975, 896, 300, 245 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 975, 896, 300, 245 i.e 1.

3. How can I use the GCD of 975, 896, 300, 245Calculator?

Out the numbers 975, 896, 300, 245 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.