Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3503/64,9015/118
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 3503,9015
Greatest Common Factor of Numerators i.e. GCF of 3503,9015 is 1 .
LCM of Denominators means LCM of 64,118 as per the given fractions.
LCM of 64,118 is 3776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3503,9015
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3503
List of positive integer factors of 3503 that divides 3503 without a remainder.
1,31,113,3503
Factors of 9015
List of positive integer factors of 9015 that divides 9015 without a remainder.
1,3,5,15,601,1803,3005,9015
Greatest Common Factor
We found the factors 3503,9015 . The biggest common factor number is the GCF number.
So the greatest common factor 3503,9015 is 1.
Lets's calculate LCM of 64,118
2 | 64, 118 |
32, 59 |
∴ So the LCM of the given numbers is 2 x 32 x 59 = 3776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3776
Therefore, the GCF of Fractions 3503/64,9015/118 is 1/3776
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 64,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(64,118) x common factors =2 x 1 = 2
LCM(64,118) = ( 64 × 118 ) / 2
LCM(64,118) = 7552 / 2
LCM(64,118) = 3776
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 3503/64, 9015/118?
Answer: GCF of Numerators as per given numbers 3503/64, 9015/118 is
GCF of Numerators i.e. for 3503,9015 is 1
LCM of denominators i.e. for 64,118 is 3776.
Thus, GCF of Fractions is 1/3776.Finally, GCF of Fractions for 3503/64, 9015/118 is 1/3776.