Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5482/60,1137/479
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 5482,1137
Greatest Common Factor of Numerators i.e. GCF of 5482,1137 is 1 .
LCM of Denominators means LCM of 60,479 as per the given fractions.
LCM of 60,479 is 28740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5482,1137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5482
List of positive integer factors of 5482 that divides 5482 without a remainder.
1,2,2741,5482
Factors of 1137
List of positive integer factors of 1137 that divides 1137 without a remainder.
1,3,379,1137
Greatest Common Factor
We found the factors 5482,1137 . The biggest common factor number is the GCF number.
So the greatest common factor 5482,1137 is 1.
Lets's calculate LCM of 60,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 28740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28740
Therefore, the GCF of Fractions 5482/60,1137/479 is 1/28740
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 60,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,479) x common factors =1 x 1 = 1
LCM(60,479) = ( 60 × 479 ) / 1
LCM(60,479) = 28740 / 1
LCM(60,479) = 28740
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 5482/60, 1137/479?
Answer: GCF of Numerators as per given numbers 5482/60, 1137/479 is
GCF of Numerators i.e. for 5482,1137 is 1
LCM of denominators i.e. for 60,479 is 28740.
Thus, GCF of Fractions is 1/28740.Finally, GCF of Fractions for 5482/60, 1137/479 is 1/28740.