GCD of 700, 734, 340, 752 Calculator

Given Input numbers are 700, 734, 340, 752

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

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

Greatest Common Divisior

We found the divisors of 700, 734, 340, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 734, 340, 752 is 2.

Therefore, GCD of numbers 700, 734, 340, 752 is 2

Given Input Data is 700, 734, 340, 752

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

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 340 is 2 x 2 x 5 x 17

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

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(700, 734) = 256900

GCD(700, 734) = ( 700 x 734 ) / 256900

GCD(700, 734) = 513800 / 256900

GCD(700, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

GCD of 700, 734, 340, 752 is 2

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1. What is the GCD of 700, 734, 340, 752?

GCD of 700, 734, 340, 752 is 2

2. Where do I get the detailed procedure to find GCD of 700, 734, 340, 752?

You can find a detailed procedure to find GCD of 700, 734, 340, 752 on our page.

3. How to find GCD of 700, 734, 340, 752 on a calculator?

You can find the GCD of 700, 734, 340, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.