GCD of 86, 148, 758, 126 Calculator

Given Input numbers are 86, 148, 758, 126

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 86, 148, 758, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 148, 758, 126 is 2.

Therefore, GCD of numbers 86, 148, 758, 126 is 2

Given Input Data is 86, 148, 758, 126

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 758 is 2 x 379

Prime Factorization of 126 is 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(86, 148) = 6364

GCD(86, 148) = ( 86 x 148 ) / 6364

GCD(86, 148) = 12728 / 6364

GCD(86, 148) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 126

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

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

GCD(2, 126) = 252 / 126

GCD(2, 126) = 2

GCD of 86, 148, 758, 126 is 2

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• GCD of 33, 922, 588, 178
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1. What is the GCD of 86, 148, 758, 126?

GCD of 86, 148, 758, 126 is 2

2. Where do I get the detailed procedure to find GCD of 86, 148, 758, 126?

You can find a detailed procedure to find GCD of 86, 148, 758, 126 on our page.

3. How to find GCD of 86, 148, 758, 126 on a calculator?

You can find the GCD of 86, 148, 758, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.