GCD of 860, 148, 296, 967 Calculator

Given Input numbers are 860, 148, 296, 967

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

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 860, 148, 296, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 148, 296, 967 is 1.

Therefore, GCD of numbers 860, 148, 296, 967 is 1

Given Input Data is 860, 148, 296, 967

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

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 967 is 967

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

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(860, 148) = 31820

GCD(860, 148) = ( 860 x 148 ) / 31820

GCD(860, 148) = 127280 / 31820

GCD(860, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 296

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

LCM(4, 296) = 296

GCD(4, 296) = ( 4 x 296 ) / 296

GCD(4, 296) = 1184 / 296

GCD(4, 296) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 967

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

LCM(4, 967) = 3868

GCD(4, 967) = ( 4 x 967 ) / 3868

GCD(4, 967) = 3868 / 3868

GCD(4, 967) = 1

GCD of 860, 148, 296, 967 is 1

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1. What is the GCD of 860, 148, 296, 967?

GCD of 860, 148, 296, 967 is 1

2. Where do I get the detailed procedure to find GCD of 860, 148, 296, 967?

You can find a detailed procedure to find GCD of 860, 148, 296, 967 on our page.

3. How to find GCD of 860, 148, 296, 967 on a calculator?

You can find the GCD of 860, 148, 296, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.