Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7503/761,4910/538
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 7503,4910
Greatest Common Factor of Numerators i.e. GCF of 7503,4910 is 1 .
LCM of Denominators means LCM of 761,538 as per the given fractions.
LCM of 761,538 is 409418 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7503,4910
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7503
List of positive integer factors of 7503 that divides 7503 without a remainder.
1,3,41,61,123,183,2501,7503
Factors of 4910
List of positive integer factors of 4910 that divides 4910 without a remainder.
1,2,5,10,491,982,2455,4910
Greatest Common Factor
We found the factors 7503,4910 . The biggest common factor number is the GCF number.
So the greatest common factor 7503,4910 is 1.
Lets's calculate LCM of 761,538
Given numbers has no common factors except 1. So, there LCM is their product i.e 409418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/409418
Therefore, the GCF of Fractions 7503/761,4910/538 is 1/409418
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 761,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,538) x common factors =1 x 1 = 1
LCM(761,538) = ( 761 × 538 ) / 1
LCM(761,538) = 409418 / 1
LCM(761,538) = 409418
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 7503/761, 4910/538?
Answer: GCF of Numerators as per given numbers 7503/761, 4910/538 is
GCF of Numerators i.e. for 7503,4910 is 1
LCM of denominators i.e. for 761,538 is 409418.
Thus, GCF of Fractions is 1/409418.Finally, GCF of Fractions for 7503/761, 4910/538 is 1/409418.