Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5138/826,7052/284
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 5138,7052
Greatest Common Factor of Numerators i.e. GCF of 5138,7052 is 2 .
LCM of Denominators means LCM of 826,284 as per the given fractions.
LCM of 826,284 is 117292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5138,7052
2 | 5138, 7052 |
2569, 3526 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5138
List of positive integer factors of 5138 that divides 5138 without a remainder.
1,2,7,14,367,734,2569,5138
Factors of 7052
List of positive integer factors of 7052 that divides 7052 without a remainder.
1,2,4,41,43,82,86,164,172,1763,3526,7052
Greatest Common Factor
We found the factors 5138,7052 . The biggest common factor number is the GCF number.
So the greatest common factor 5138,7052 is 2.
Lets's calculate LCM of 826,284
2 | 826, 284 |
413, 142 |
∴ So the LCM of the given numbers is 2 x 413 x 142 = 117292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/117292
Therefore, the GCF of Fractions 5138/826,7052/284 is 2/117292
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 826,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,284) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,284) x common factors =2 x 1 = 2
LCM(826,284) = ( 826 × 284 ) / 2
LCM(826,284) = 234584 / 2
LCM(826,284) = 117292
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 5138/826, 7052/284?
Answer: GCF of Numerators as per given numbers 5138/826, 7052/284 is
GCF of Numerators i.e. for 5138,7052 is 2
LCM of denominators i.e. for 826,284 is 117292.
Thus, GCF of Fractions is 2/117292.Finally, GCF of Fractions for 5138/826, 7052/284 is 2/117292.