Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5049/848,7567/4837
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 5049,7567
Greatest Common Factor of Numerators i.e. GCF of 5049,7567 is 1 .
LCM of Denominators means LCM of 848,4837 as per the given fractions.
LCM of 848,4837 is 4101776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5049,7567
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5049
List of positive integer factors of 5049 that divides 5049 without a remainder.
1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049
Factors of 7567
List of positive integer factors of 7567 that divides 7567 without a remainder.
1,7,23,47,161,329,1081,7567
Greatest Common Factor
We found the factors 5049,7567 . The biggest common factor number is the GCF number.
So the greatest common factor 5049,7567 is 1.
Lets's calculate LCM of 848,4837
Given numbers has no common factors except 1. So, there LCM is their product i.e 4101776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4101776
Therefore, the GCF of Fractions 5049/848,7567/4837 is 1/4101776
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 848,4837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,4837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(848,4837) x common factors =1 x 1 = 1
LCM(848,4837) = ( 848 × 4837 ) / 1
LCM(848,4837) = 4101776 / 1
LCM(848,4837) = 4101776
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 5049/848, 7567/4837?
Answer: GCF of Numerators as per given numbers 5049/848, 7567/4837 is
GCF of Numerators i.e. for 5049,7567 is 1
LCM of denominators i.e. for 848,4837 is 4101776.
Thus, GCF of Fractions is 1/4101776.Finally, GCF of Fractions for 5049/848, 7567/4837 is 1/4101776.