Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 363/89,872/60,123/676
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 363,872,123
Greatest Common Factor of Numerators i.e. GCF of 363,872,123 is 1 .
LCM of Denominators means LCM of 89,60,676 as per the given fractions.
LCM of 89,60,676 is 902460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 363,872,123
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 363,872,123 . The biggest common factor number is the GCF number.
So the greatest common factor 363,872,123 is 1.
Lets's calculate LCM of 89,60,676
2 | 89, 60, 676 |
2 | 89, 30, 338 |
89, 15, 169 |
∴ So the LCM of the given numbers is 2 x 2 x 89 x 15 x 169 = 902460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/902460
Therefore, the GCF of Fractions 363/89,872/60,123/676 is 1/902460
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 89,60,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,60,676) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(89,60,676) x common factors =1 x 4 = 4
LCM(89,60,676) = ( 89 × 60 × 676 ) / 4
LCM(89,60,676) = 3609840 / 4
LCM(89,60,676) = 902460
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 363/89, 872/60, 123/676?
Answer: GCF of Numerators as per given numbers 363/89, 872/60, 123/676 is
GCF of Numerators i.e. for 363,872,123 is 1
LCM of denominators i.e. for 89,60,676 is 902460.
Thus, GCF of Fractions is 1/902460.Finally, GCF of Fractions for 363/89, 872/60, 123/676 is 1/902460.