GCD of 856, 860, 632, 848 Calculator

Given Input numbers are 856, 860, 632, 848

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 856, 860, 632, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 860, 632, 848 is 4.

Therefore, GCD of numbers 856, 860, 632, 848 is 4

Given Input Data is 856, 860, 632, 848

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

Step1:

Let's calculate the GCD of first two numbers

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

LCM(856, 860) = 184040

GCD(856, 860) = ( 856 x 860 ) / 184040

GCD(856, 860) = 736160 / 184040

GCD(856, 860) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 632

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

LCM(4, 632) = 632

GCD(4, 632) = ( 4 x 632 ) / 632

GCD(4, 632) = 2528 / 632

GCD(4, 632) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 848

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

LCM(4, 848) = 848

GCD(4, 848) = ( 4 x 848 ) / 848

GCD(4, 848) = 3392 / 848

GCD(4, 848) = 4

GCD of 856, 860, 632, 848 is 4

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1. What is the GCD of 856, 860, 632, 848?

GCD of 856, 860, 632, 848 is 4

2. Where do I get the detailed procedure to find GCD of 856, 860, 632, 848?

You can find a detailed procedure to find GCD of 856, 860, 632, 848 on our page.

3. How to find GCD of 856, 860, 632, 848 on a calculator?

You can find the GCD of 856, 860, 632, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.