Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 798/82,988/3282
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 798,988
Greatest Common Factor of Numerators i.e. GCF of 798,988 is 38 .
LCM of Denominators means LCM of 82,3282 as per the given fractions.
LCM of 82,3282 is 134562 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 798,988
2 | 798, 988 |
19 | 399, 494 |
21, 26 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 798,988 . The biggest common factor number is the GCF number.
So the greatest common factor 798,988 is 38.
Lets's calculate LCM of 82,3282
2 | 82, 3282 |
41, 1641 |
∴ So the LCM of the given numbers is 2 x 41 x 1641 = 134562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/134562
Therefore, the GCF of Fractions 798/82,988/3282 is 38/134562
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 82,3282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,3282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,3282) x common factors =2 x 1 = 2
LCM(82,3282) = ( 82 × 3282 ) / 2
LCM(82,3282) = 269124 / 2
LCM(82,3282) = 134562
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 798/82, 988/3282?
Answer: GCF of Numerators as per given numbers 798/82, 988/3282 is
GCF of Numerators i.e. for 798,988 is 38
LCM of denominators i.e. for 82,3282 is 134562.
Thus, GCF of Fractions is 38/134562.Finally, GCF of Fractions for 798/82, 988/3282 is 38/134562.