GCD of 688, 852, 70 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 688, 852, 70 i.e. 2 largest integer that divides all the numbers equally.
GCD of 688, 852, 70 is 2
GCD(688, 852, 70) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 688, 852, 70 is 2
GCD(688, 852, 70) = 2
GCDof 688,852,70 is 2
Given Input numbers are 688, 852, 70
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Greatest Common Divisior
We found the divisors of 688, 852, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 852, 70 is 2.
Therefore, GCD of numbers 688, 852, 70 is 2
Given Input Data is 688, 852, 70
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 70 is 2 x 5 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 688, 852, 70 using LCM Formula
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(688, 852) = 146544
GCD(688, 852) = ( 688 x 852 ) / 146544
GCD(688, 852) = 586176 / 146544
GCD(688, 852) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 70) = 140
GCD(4, 70) = ( 4 x 70 ) / 140
GCD(4, 70) = 280 / 140
GCD(4, 70) = 2
GCD of 688, 852, 70 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 688, 852, 70
1. What is the GCD of 688, 852, 70?
GCD of 688, 852, 70 is 2
2. Where do I get the detailed procedure to find GCD of 688, 852, 70?
You can find a detailed procedure to find GCD of 688, 852, 70 on our page.
3. How to find GCD of 688, 852, 70 on a calculator?
You can find the GCD of 688, 852, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.