Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 143/620,308/772
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 143,308
Greatest Common Factor of Numerators i.e. GCF of 143,308 is 11 .
LCM of Denominators means LCM of 620,772 as per the given fractions.
LCM of 620,772 is 119660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 143,308
11 | 143, 308 |
13, 28 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 143,308 . The biggest common factor number is the GCF number.
So the greatest common factor 143,308 is 11.
Lets's calculate LCM of 620,772
2 | 620, 772 |
2 | 310, 386 |
155, 193 |
∴ So the LCM of the given numbers is 2 x 2 x 155 x 193 = 119660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/119660
Therefore, the GCF of Fractions 143/620,308/772 is 11/119660
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 620,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,772) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(620,772) x common factors =4 x 1 = 4
LCM(620,772) = ( 620 × 772 ) / 4
LCM(620,772) = 478640 / 4
LCM(620,772) = 119660
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 143/620, 308/772?
Answer: GCF of Numerators as per given numbers 143/620, 308/772 is
GCF of Numerators i.e. for 143,308 is 11
LCM of denominators i.e. for 620,772 is 119660.
Thus, GCF of Fractions is 11/119660.Finally, GCF of Fractions for 143/620, 308/772 is 11/119660.