Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5056/749,2078/1747
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 5056,2078
Greatest Common Factor of Numerators i.e. GCF of 5056,2078 is 2 .
LCM of Denominators means LCM of 749,1747 as per the given fractions.
LCM of 749,1747 is 1308503 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5056,2078
2 | 5056, 2078 |
2528, 1039 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5056
List of positive integer factors of 5056 that divides 5056 without a remainder.
1,2,4,8,16,32,64,79,158,316,632,1264,2528,5056
Factors of 2078
List of positive integer factors of 2078 that divides 2078 without a remainder.
1,2,1039,2078
Greatest Common Factor
We found the factors 5056,2078 . The biggest common factor number is the GCF number.
So the greatest common factor 5056,2078 is 2.
Lets's calculate LCM of 749,1747
Given numbers has no common factors except 1. So, there LCM is their product i.e 1308503
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1308503
Therefore, the GCF of Fractions 5056/749,2078/1747 is 2/1308503
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 749,1747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,1747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,1747) x common factors =1 x 1 = 1
LCM(749,1747) = ( 749 × 1747 ) / 1
LCM(749,1747) = 1308503 / 1
LCM(749,1747) = 1308503
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 5056/749, 2078/1747?
Answer: GCF of Numerators as per given numbers 5056/749, 2078/1747 is
GCF of Numerators i.e. for 5056,2078 is 2
LCM of denominators i.e. for 749,1747 is 1308503.
Thus, GCF of Fractions is 2/1308503.Finally, GCF of Fractions for 5056/749, 2078/1747 is 2/1308503.