GCD of 610, 354, 98, 532 Calculator

Given Input numbers are 610, 354, 98, 532

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

Divisors of 610

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

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

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

Greatest Common Divisior

We found the divisors of 610, 354, 98, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 354, 98, 532 is 2.

Therefore, GCD of numbers 610, 354, 98, 532 is 2

Given Input Data is 610, 354, 98, 532

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 98 is 2 x 7 x 7

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

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(610, 354) = 107970

GCD(610, 354) = ( 610 x 354 ) / 107970

GCD(610, 354) = 215940 / 107970

GCD(610, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 532

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

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

GCD(2, 532) = 1064 / 532

GCD(2, 532) = 2

GCD of 610, 354, 98, 532 is 2

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1. What is the GCD of 610, 354, 98, 532?

GCD of 610, 354, 98, 532 is 2

2. Where do I get the detailed procedure to find GCD of 610, 354, 98, 532?

You can find a detailed procedure to find GCD of 610, 354, 98, 532 on our page.

3. How to find GCD of 610, 354, 98, 532 on a calculator?

You can find the GCD of 610, 354, 98, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.