Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5527/48,6567/357
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 5527,6567
Greatest Common Factor of Numerators i.e. GCF of 5527,6567 is 1 .
LCM of Denominators means LCM of 48,357 as per the given fractions.
LCM of 48,357 is 5712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5527,6567
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5527
List of positive integer factors of 5527 that divides 5527 without a remainder.
1,5527
Factors of 6567
List of positive integer factors of 6567 that divides 6567 without a remainder.
1,3,11,33,199,597,2189,6567
Greatest Common Factor
We found the factors 5527,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 5527,6567 is 1.
Lets's calculate LCM of 48,357
3 | 48, 357 |
16, 119 |
∴ So the LCM of the given numbers is 3 x 16 x 119 = 5712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5712
Therefore, the GCF of Fractions 5527/48,6567/357 is 1/5712
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 48,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,357) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(48,357) x common factors =3 x 1 = 3
LCM(48,357) = ( 48 × 357 ) / 3
LCM(48,357) = 17136 / 3
LCM(48,357) = 5712
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 5527/48, 6567/357?
Answer: GCF of Numerators as per given numbers 5527/48, 6567/357 is
GCF of Numerators i.e. for 5527,6567 is 1
LCM of denominators i.e. for 48,357 is 5712.
Thus, GCF of Fractions is 1/5712.Finally, GCF of Fractions for 5527/48, 6567/357 is 1/5712.