Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 852/48,610/33,973/638
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 852,610,973
Greatest Common Factor of Numerators i.e. GCF of 852,610,973 is 1 .
LCM of Denominators means LCM of 48,33,638 as per the given fractions.
LCM of 48,33,638 is 15312 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 852,610,973
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Greatest Common Factor
We found the factors 852,610,973 . The biggest common factor number is the GCF number.
So the greatest common factor 852,610,973 is 1.
Lets's calculate LCM of 48,33,638
2 | 48, 33, 638 |
3 | 24, 33, 319 |
11 | 8, 11, 319 |
8, 1, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 8 x 1 x 29 = 15312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15312
Therefore, the GCF of Fractions 852/48,610/33,973/638 is 1/15312
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 48,33,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,33,638) = 1
common factors(in case of two or more numbers have common factors) = 66
GCF(48,33,638) x common factors =1 x 66 = 66
LCM(48,33,638) = ( 48 × 33 × 638 ) / 66
LCM(48,33,638) = 1010592 / 66
LCM(48,33,638) = 15312
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 852/48, 610/33, 973/638?
Answer: GCF of Numerators as per given numbers 852/48, 610/33, 973/638 is
GCF of Numerators i.e. for 852,610,973 is 1
LCM of denominators i.e. for 48,33,638 is 15312.
Thus, GCF of Fractions is 1/15312.Finally, GCF of Fractions for 852/48, 610/33, 973/638 is 1/15312.