GCD of 348, 220, 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 348, 220, 70 i.e. 2 largest integer that divides all the numbers equally.
GCD of 348, 220, 70 is 2
GCD(348, 220, 70) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 348, 220, 70 is 2
GCD(348, 220, 70) = 2
GCDof 348,220,70 is 2
Given Input numbers are 348, 220, 70
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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 348, 220, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 220, 70 is 2.
Therefore, GCD of numbers 348, 220, 70 is 2
Given Input Data is 348, 220, 70
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 220 is 2 x 2 x 5 x 11
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 348, 220, 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(348, 220) = 19140
GCD(348, 220) = ( 348 x 220 ) / 19140
GCD(348, 220) = 76560 / 19140
GCD(348, 220) = 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 348, 220, 70 is 2
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FAQs on GCD of numbers 348, 220, 70
1. What is the GCD of 348, 220, 70?
GCD of 348, 220, 70 is 2
2. Where do I get the detailed procedure to find GCD of 348, 220, 70?
You can find a detailed procedure to find GCD of 348, 220, 70 on our page.
3. How to find GCD of 348, 220, 70 on a calculator?
You can find the GCD of 348, 220, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.