GCD of 892, 124, 62, 688 Calculator

Given Input numbers are 892, 124, 62, 688

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 892, 124, 62, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 124, 62, 688 is 2.

Therefore, GCD of numbers 892, 124, 62, 688 is 2

Given Input Data is 892, 124, 62, 688

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 62 is 2 x 31

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(892, 124) = 27652

GCD(892, 124) = ( 892 x 124 ) / 27652

GCD(892, 124) = 110608 / 27652

GCD(892, 124) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 62

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

LCM(4, 62) = 124

GCD(4, 62) = ( 4 x 62 ) / 124

GCD(4, 62) = 248 / 124

GCD(4, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 892, 124, 62, 688 is 2

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1. What is the GCD of 892, 124, 62, 688?

GCD of 892, 124, 62, 688 is 2

2. Where do I get the detailed procedure to find GCD of 892, 124, 62, 688?

You can find a detailed procedure to find GCD of 892, 124, 62, 688 on our page.

3. How to find GCD of 892, 124, 62, 688 on a calculator?

You can find the GCD of 892, 124, 62, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.