GCD of 700, 712, 78, 194 Calculator

Given Input numbers are 700, 712, 78, 194

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 700, 712, 78, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 712, 78, 194 is 2.

Therefore, GCD of numbers 700, 712, 78, 194 is 2

Given Input Data is 700, 712, 78, 194

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 712 is 2 x 2 x 2 x 89

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 194 is 2 x 97

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, 712) = 124600

GCD(700, 712) = ( 700 x 712 ) / 124600

GCD(700, 712) = 498400 / 124600

GCD(700, 712) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2

GCD of 700, 712, 78, 194 is 2

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1. What is the GCD of 700, 712, 78, 194?

GCD of 700, 712, 78, 194 is 2

2. Where do I get the detailed procedure to find GCD of 700, 712, 78, 194?

You can find a detailed procedure to find GCD of 700, 712, 78, 194 on our page.

3. How to find GCD of 700, 712, 78, 194 on a calculator?

You can find the GCD of 700, 712, 78, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.