Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1532/681,2502/5442
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 1532,2502
Greatest Common Factor of Numerators i.e. GCF of 1532,2502 is 2 .
LCM of Denominators means LCM of 681,5442 as per the given fractions.
LCM of 681,5442 is 1235334 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1532,2502
2 | 1532, 2502 |
766, 1251 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1532
List of positive integer factors of 1532 that divides 1532 without a remainder.
1,2,4,383,766,1532
Factors of 2502
List of positive integer factors of 2502 that divides 2502 without a remainder.
1,2,3,6,9,18,139,278,417,834,1251,2502
Greatest Common Factor
We found the factors 1532,2502 . The biggest common factor number is the GCF number.
So the greatest common factor 1532,2502 is 2.
Lets's calculate LCM of 681,5442
3 | 681, 5442 |
227, 1814 |
∴ So the LCM of the given numbers is 3 x 227 x 1814 = 1235334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1235334
Therefore, the GCF of Fractions 1532/681,2502/5442 is 2/1235334
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 681,5442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,5442) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(681,5442) x common factors =3 x 1 = 3
LCM(681,5442) = ( 681 × 5442 ) / 3
LCM(681,5442) = 3706002 / 3
LCM(681,5442) = 1235334
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 1532/681, 2502/5442?
Answer: GCF of Numerators as per given numbers 1532/681, 2502/5442 is
GCF of Numerators i.e. for 1532,2502 is 2
LCM of denominators i.e. for 681,5442 is 1235334.
Thus, GCF of Fractions is 2/1235334.Finally, GCF of Fractions for 1532/681, 2502/5442 is 2/1235334.