GCD of 980, 492, 154 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 980, 492, 154 i.e. 2 largest integer that divides all the numbers equally.
GCD of 980, 492, 154 is 2
GCD(980, 492, 154) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 980, 492, 154 is 2
GCD(980, 492, 154) = 2
GCDof 980,492,154 is 2
Given Input numbers are 980, 492, 154
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Greatest Common Divisior
We found the divisors of 980, 492, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 492, 154 is 2.
Therefore, GCD of numbers 980, 492, 154 is 2
Given Input Data is 980, 492, 154
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 154 is 2 x 7 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 980, 492, 154 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(980, 492) = 120540
GCD(980, 492) = ( 980 x 492 ) / 120540
GCD(980, 492) = 482160 / 120540
GCD(980, 492) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 154) = 308
GCD(4, 154) = ( 4 x 154 ) / 308
GCD(4, 154) = 616 / 308
GCD(4, 154) = 2
GCD of 980, 492, 154 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 980, 492, 154
1. What is the GCD of 980, 492, 154?
GCD of 980, 492, 154 is 2
2. Where do I get the detailed procedure to find GCD of 980, 492, 154?
You can find a detailed procedure to find GCD of 980, 492, 154 on our page.
3. How to find GCD of 980, 492, 154 on a calculator?
You can find the GCD of 980, 492, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.