GCD of 700, 800, 748 Calculator

Given Input numbers are 700, 800, 748

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 700, 800, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 800, 748 is 4.

Therefore, GCD of numbers 700, 800, 748 is 4

Given Input Data is 700, 800, 748

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 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 748 is 2 x 2 x 11 x 17

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 800) = 5600

GCD(700, 800) = ( 700 x 800 ) / 5600

GCD(700, 800) = 560000 / 5600

GCD(700, 800) = 100

Step2:

Here we consider the GCD from the above i.e. 100 as first number and the next as 748

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

LCM(100, 748) = 18700

GCD(100, 748) = ( 100 x 748 ) / 18700

GCD(100, 748) = 74800 / 18700

GCD(100, 748) = 4

GCD of 700, 800, 748 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 758, 330
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• GCD of 997, 775, 627
• GCD of 518, 953, 715
• GCD of 720, 857, 933

1. What is the GCD of 700, 800, 748?

GCD of 700, 800, 748 is 4

2. Where do I get the detailed procedure to find GCD of 700, 800, 748?

You can find a detailed procedure to find GCD of 700, 800, 748 on our page.

3. How to find GCD of 700, 800, 748 on a calculator?

You can find the GCD of 700, 800, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.