Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5156/148,2457/882
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 5156,2457
Greatest Common Factor of Numerators i.e. GCF of 5156,2457 is 1 .
LCM of Denominators means LCM of 148,882 as per the given fractions.
LCM of 148,882 is 65268 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5156,2457
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5156
List of positive integer factors of 5156 that divides 5156 without a remainder.
1,2,4,1289,2578,5156
Factors of 2457
List of positive integer factors of 2457 that divides 2457 without a remainder.
1,3,7,9,13,21,27,39,63,91,117,189,273,351,819,2457
Greatest Common Factor
We found the factors 5156,2457 . The biggest common factor number is the GCF number.
So the greatest common factor 5156,2457 is 1.
Lets's calculate LCM of 148,882
2 | 148, 882 |
74, 441 |
∴ So the LCM of the given numbers is 2 x 74 x 441 = 65268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65268
Therefore, the GCF of Fractions 5156/148,2457/882 is 1/65268
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 148,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(148,882) x common factors =2 x 1 = 2
LCM(148,882) = ( 148 × 882 ) / 2
LCM(148,882) = 130536 / 2
LCM(148,882) = 65268
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 5156/148, 2457/882?
Answer: GCF of Numerators as per given numbers 5156/148, 2457/882 is
GCF of Numerators i.e. for 5156,2457 is 1
LCM of denominators i.e. for 148,882 is 65268.
Thus, GCF of Fractions is 1/65268.Finally, GCF of Fractions for 5156/148, 2457/882 is 1/65268.