Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 154/52,932/69,828/418
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 154,932,828
Greatest Common Factor of Numerators i.e. GCF of 154,932,828 is 2 .
LCM of Denominators means LCM of 52,69,418 as per the given fractions.
LCM of 52,69,418 is 749892 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 154,932,828
2 | 154, 932, 828 |
77, 466, 414 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 154,932,828 . The biggest common factor number is the GCF number.
So the greatest common factor 154,932,828 is 2.
Lets's calculate LCM of 52,69,418
2 | 52, 69, 418 |
26, 69, 209 |
∴ So the LCM of the given numbers is 2 x 26 x 69 x 209 = 749892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/749892
Therefore, the GCF of Fractions 154/52,932/69,828/418 is 2/749892
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 52,69,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,69,418) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(52,69,418) x common factors =1 x 2 = 2
LCM(52,69,418) = ( 52 × 69 × 418 ) / 2
LCM(52,69,418) = 1499784 / 2
LCM(52,69,418) = 749892
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 154/52, 932/69, 828/418?
Answer: GCF of Numerators as per given numbers 154/52, 932/69, 828/418 is
GCF of Numerators i.e. for 154,932,828 is 2
LCM of denominators i.e. for 52,69,418 is 749892.
Thus, GCF of Fractions is 2/749892.Finally, GCF of Fractions for 154/52, 932/69, 828/418 is 2/749892.