Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1118/534,9318/520
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 1118,9318
Greatest Common Factor of Numerators i.e. GCF of 1118,9318 is 2 .
LCM of Denominators means LCM of 534,520 as per the given fractions.
LCM of 534,520 is 138840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1118,9318
2 | 1118, 9318 |
559, 4659 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1118
List of positive integer factors of 1118 that divides 1118 without a remainder.
1,2,13,26,43,86,559,1118
Factors of 9318
List of positive integer factors of 9318 that divides 9318 without a remainder.
1,2,3,6,1553,3106,4659,9318
Greatest Common Factor
We found the factors 1118,9318 . The biggest common factor number is the GCF number.
So the greatest common factor 1118,9318 is 2.
Lets's calculate LCM of 534,520
2 | 534, 520 |
267, 260 |
∴ So the LCM of the given numbers is 2 x 267 x 260 = 138840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/138840
Therefore, the GCF of Fractions 1118/534,9318/520 is 2/138840
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 534,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,520) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(534,520) x common factors =2 x 1 = 2
LCM(534,520) = ( 534 × 520 ) / 2
LCM(534,520) = 277680 / 2
LCM(534,520) = 138840
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 1118/534, 9318/520?
Answer: GCF of Numerators as per given numbers 1118/534, 9318/520 is
GCF of Numerators i.e. for 1118,9318 is 2
LCM of denominators i.e. for 534,520 is 138840.
Thus, GCF of Fractions is 2/138840.Finally, GCF of Fractions for 1118/534, 9318/520 is 2/138840.