GCD of 532, 752, 700, 610 Calculator

Given Input numbers are 532, 752, 700, 610

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 532, 752, 700, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 752, 700, 610 is 2.

Therefore, GCD of numbers 532, 752, 700, 610 is 2

Given Input Data is 532, 752, 700, 610

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 610 is 2 x 5 x 61

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(532, 752) = 100016

GCD(532, 752) = ( 532 x 752 ) / 100016

GCD(532, 752) = 400064 / 100016

GCD(532, 752) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 700

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

LCM(4, 700) = 700

GCD(4, 700) = ( 4 x 700 ) / 700

GCD(4, 700) = 2800 / 700

GCD(4, 700) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 610

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

LCM(4, 610) = 1220

GCD(4, 610) = ( 4 x 610 ) / 1220

GCD(4, 610) = 2440 / 1220

GCD(4, 610) = 2

GCD of 532, 752, 700, 610 is 2

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1. What is the GCD of 532, 752, 700, 610?

GCD of 532, 752, 700, 610 is 2

2. Where do I get the detailed procedure to find GCD of 532, 752, 700, 610?

You can find a detailed procedure to find GCD of 532, 752, 700, 610 on our page.

3. How to find GCD of 532, 752, 700, 610 on a calculator?

You can find the GCD of 532, 752, 700, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.