Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2296/760,3603/3518
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 2296,3603
Greatest Common Factor of Numerators i.e. GCF of 2296,3603 is 1 .
LCM of Denominators means LCM of 760,3518 as per the given fractions.
LCM of 760,3518 is 1336840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2296,3603
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2296
List of positive integer factors of 2296 that divides 2296 without a remainder.
1,2,4,7,8,14,28,41,56,82,164,287,328,574,1148,2296
Factors of 3603
List of positive integer factors of 3603 that divides 3603 without a remainder.
1,3,1201,3603
Greatest Common Factor
We found the factors 2296,3603 . The biggest common factor number is the GCF number.
So the greatest common factor 2296,3603 is 1.
Lets's calculate LCM of 760,3518
2 | 760, 3518 |
380, 1759 |
∴ So the LCM of the given numbers is 2 x 380 x 1759 = 1336840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1336840
Therefore, the GCF of Fractions 2296/760,3603/3518 is 1/1336840
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 760,3518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,3518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(760,3518) x common factors =2 x 1 = 2
LCM(760,3518) = ( 760 × 3518 ) / 2
LCM(760,3518) = 2673680 / 2
LCM(760,3518) = 1336840
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 2296/760, 3603/3518?
Answer: GCF of Numerators as per given numbers 2296/760, 3603/3518 is
GCF of Numerators i.e. for 2296,3603 is 1
LCM of denominators i.e. for 760,3518 is 1336840.
Thus, GCF of Fractions is 1/1336840.Finally, GCF of Fractions for 2296/760, 3603/3518 is 1/1336840.