Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 981/96,273/44,836/502
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 981,273,836
Greatest Common Factor of Numerators i.e. GCF of 981,273,836 is 1 .
LCM of Denominators means LCM of 96,44,502 as per the given fractions.
LCM of 96,44,502 is 265056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 981,273,836
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 981,273,836 . The biggest common factor number is the GCF number.
So the greatest common factor 981,273,836 is 1.
Lets's calculate LCM of 96,44,502
2 | 96, 44, 502 |
2 | 48, 22, 251 |
24, 11, 251 |
∴ So the LCM of the given numbers is 2 x 2 x 24 x 11 x 251 = 265056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265056
Therefore, the GCF of Fractions 981/96,273/44,836/502 is 1/265056
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 96,44,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,44,502) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(96,44,502) x common factors =2 x 4 = 8
LCM(96,44,502) = ( 96 × 44 × 502 ) / 8
LCM(96,44,502) = 2120448 / 8
LCM(96,44,502) = 265056
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 981/96, 273/44, 836/502?
Answer: GCF of Numerators as per given numbers 981/96, 273/44, 836/502 is
GCF of Numerators i.e. for 981,273,836 is 1
LCM of denominators i.e. for 96,44,502 is 265056.
Thus, GCF of Fractions is 1/265056.Finally, GCF of Fractions for 981/96, 273/44, 836/502 is 1/265056.