GCD of 800, 575, 748, 960 Calculator

Given Input numbers are 800, 575, 748, 960

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

GCD of numbers is the greatest common divisor

So, the GCD (800, 575, 748, 960) = 1.

Given numbers are 800, 575, 748, 960

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 575 are 5 x 5 x 23

Prime factors of 748 are 2 x 2 x 11 x 17

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

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

Given numbers are 800, 575, 748, 960

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

Apply this formula for all numbers.

Step1:

LCM(800, 575) = 18400

GCD(800, 575) = ( 800 x 575 ) / 18400

= 800 / 575

= 800

Step2:

LCM(25, 748) = 18700

GCD(25, 748) = ( 25 x 748 ) / 18700

= 25 / 748

= 25

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 800, 575, 748, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 248, 441, 760
• GCD of 812, 728, 845, 192
• GCD of 915, 493, 719, 757
• GCD of 171, 860, 421, 807
• GCD of 411, 276, 804, 264

Given numbers are 800, 575, 748, 960
The greatest common divisor of numbers 800, 575, 748, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 575, 748, 960 is 1.

1. What is the GCD of 800, 575, 748, 960?

GCD of given numbers 800, 575, 748, 960 is 1

2. How to calculate the greatest common divisor of 800, 575, 748, 960?

We can find the highest common divisor of 800, 575, 748, 960 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 800, 575, 748, 960 i.e 1.

3. How can I use the GCD of 800, 575, 748, 960Calculator?

Out the numbers 800, 575, 748, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.