GCD of 975, 655, 835, 800 Calculator

Given Input numbers are 975, 655, 835, 800

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 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 835 :

The positive integer divisors of 835 that completely divides 835 are.

1, 5, 167, 835

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

GCD of numbers is the greatest common divisor

So, the GCD (975, 655, 835, 800) = 5.

Given numbers are 975, 655, 835, 800

The list of prime factors of all numbers are

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

Prime factors of 655 are 5 x 131

Prime factors of 835 are 5 x 167

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

The highest common occurrence is 5¹

Therefore, GCD of 975, 655, 835, 800 is 5.

Given numbers are 975, 655, 835, 800

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

Apply this formula for all numbers.

Step1:

LCM(975, 655) = 127725

GCD(975, 655) = ( 975 x 655 ) / 127725

= 975 / 655

= 975

Step2:

LCM(5, 835) = 835

GCD(5, 835) = ( 5 x 835 ) / 835

= 5 / 835

= 5

Step3:

LCM(5, 800) = 800

GCD(5, 800) = ( 5 x 800 ) / 800

= 5 / 800

= 5

So, Greatest Common Divisor of 975, 655, 835, 800 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 471, 752, 529
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• GCD of 488, 980, 671, 340

Given numbers are 975, 655, 835, 800
The greatest common divisor of numbers 975, 655, 835, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 655, 835, 800 is 5.

1. What is the GCD of 975, 655, 835, 800?

GCD of given numbers 975, 655, 835, 800 is 5

2. How to calculate the greatest common divisor of 975, 655, 835, 800?

We can find the highest common divisor of 975, 655, 835, 800 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, 655, 835, 800 i.e 5.

3. How can I use the GCD of 975, 655, 835, 800Calculator?

Out the numbers 975, 655, 835, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.