GCD of 196, 264, 670 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 196, 264, 670 i.e. 2 largest integer that divides all the numbers equally.
GCD of 196, 264, 670 is 2
GCD(196, 264, 670) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 264, 670 is 2
GCD(196, 264, 670) = 2
GCDof 196,264,670 is 2
Given Input numbers are 196, 264, 670
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Greatest Common Divisior
We found the divisors of 196, 264, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 264, 670 is 2.
Therefore, GCD of numbers 196, 264, 670 is 2
Given Input Data is 196, 264, 670
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 670 is 2 x 5 x 67
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 196, 264, 670 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(196, 264) = 12936
GCD(196, 264) = ( 196 x 264 ) / 12936
GCD(196, 264) = 51744 / 12936
GCD(196, 264) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 670
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 670) = 1340
GCD(4, 670) = ( 4 x 670 ) / 1340
GCD(4, 670) = 2680 / 1340
GCD(4, 670) = 2
GCD of 196, 264, 670 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 196, 264, 670
1. What is the GCD of 196, 264, 670?
GCD of 196, 264, 670 is 2
2. Where do I get the detailed procedure to find GCD of 196, 264, 670?
You can find a detailed procedure to find GCD of 196, 264, 670 on our page.
3. How to find GCD of 196, 264, 670 on a calculator?
You can find the GCD of 196, 264, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.