GCD of 960, 225, 643, 977 Calculator

Given Input numbers are 960, 225, 643, 977

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (960, 225, 643, 977) = 1.

Given numbers are 960, 225, 643, 977

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 643 are 643

Prime factors of 977 are 977

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

Given numbers are 960, 225, 643, 977

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

Apply this formula for all numbers.

Step1:

LCM(960, 225) = 14400

GCD(960, 225) = ( 960 x 225 ) / 14400

= 960 / 225

= 960

Step2:

LCM(15, 643) = 9645

GCD(15, 643) = ( 15 x 643 ) / 9645

= 15 / 643

= 15

Step3:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1

So, Greatest Common Divisor of 960, 225, 643, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 483, 365, 235
• GCD of 623, 711, 131, 991
• GCD of 235, 780, 128, 698
• GCD of 409, 683, 698, 694
• GCD of 399, 882, 386, 490

Given numbers are 960, 225, 643, 977
The greatest common divisor of numbers 960, 225, 643, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 225, 643, 977 is 1.

1. What is the GCD of 960, 225, 643, 977?

GCD of given numbers 960, 225, 643, 977 is 1

2. How to calculate the greatest common divisor of 960, 225, 643, 977?

We can find the highest common divisor of 960, 225, 643, 977 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 960, 225, 643, 977 i.e 1.

3. How can I use the GCD of 960, 225, 643, 977Calculator?

Out the numbers 960, 225, 643, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.