Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5031/99,2654/882
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 5031,2654
Greatest Common Factor of Numerators i.e. GCF of 5031,2654 is 1 .
LCM of Denominators means LCM of 99,882 as per the given fractions.
LCM of 99,882 is 9702 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5031,2654
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5031
List of positive integer factors of 5031 that divides 5031 without a remainder.
1,3,9,13,39,43,117,129,387,559,1677,5031
Factors of 2654
List of positive integer factors of 2654 that divides 2654 without a remainder.
1,2,1327,2654
Greatest Common Factor
We found the factors 5031,2654 . The biggest common factor number is the GCF number.
So the greatest common factor 5031,2654 is 1.
Lets's calculate LCM of 99,882
3 | 99, 882 |
3 | 33, 294 |
11, 98 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 98 = 9702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9702
Therefore, the GCF of Fractions 5031/99,2654/882 is 1/9702
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 99,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,882) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(99,882) x common factors =9 x 1 = 9
LCM(99,882) = ( 99 × 882 ) / 9
LCM(99,882) = 87318 / 9
LCM(99,882) = 9702
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 5031/99, 2654/882?
Answer: GCF of Numerators as per given numbers 5031/99, 2654/882 is
GCF of Numerators i.e. for 5031,2654 is 1
LCM of denominators i.e. for 99,882 is 9702.
Thus, GCF of Fractions is 1/9702.Finally, GCF of Fractions for 5031/99, 2654/882 is 1/9702.