Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 613/84,188/98,776/992
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 613,188,776
Greatest Common Factor of Numerators i.e. GCF of 613,188,776 is 1 .
LCM of Denominators means LCM of 84,98,992 as per the given fractions.
LCM of 84,98,992 is 145824 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 613,188,776
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Greatest Common Factor
We found the factors 613,188,776 . The biggest common factor number is the GCF number.
So the greatest common factor 613,188,776 is 1.
Lets's calculate LCM of 84,98,992
2 | 84, 98, 992 |
2 | 42, 49, 496 |
7 | 21, 49, 248 |
3, 7, 248 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 7 x 248 = 145824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145824
Therefore, the GCF of Fractions 613/84,188/98,776/992 is 1/145824
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 84,98,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,98,992) = 2
common factors(in case of two or more numbers have common factors) = 28
GCF(84,98,992) x common factors =2 x 28 = 56
LCM(84,98,992) = ( 84 × 98 × 992 ) / 56
LCM(84,98,992) = 8166144 / 56
LCM(84,98,992) = 145824
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 613/84, 188/98, 776/992?
Answer: GCF of Numerators as per given numbers 613/84, 188/98, 776/992 is
GCF of Numerators i.e. for 613,188,776 is 1
LCM of denominators i.e. for 84,98,992 is 145824.
Thus, GCF of Fractions is 1/145824.Finally, GCF of Fractions for 613/84, 188/98, 776/992 is 1/145824.