Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3527/239,1083/7753
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 3527,1083
Greatest Common Factor of Numerators i.e. GCF of 3527,1083 is 1 .
LCM of Denominators means LCM of 239,7753 as per the given fractions.
LCM of 239,7753 is 1852967 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3527,1083
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3527
List of positive integer factors of 3527 that divides 3527 without a remainder.
1,3527
Factors of 1083
List of positive integer factors of 1083 that divides 1083 without a remainder.
1,3,19,57,361,1083
Greatest Common Factor
We found the factors 3527,1083 . The biggest common factor number is the GCF number.
So the greatest common factor 3527,1083 is 1.
Lets's calculate LCM of 239,7753
Given numbers has no common factors except 1. So, there LCM is their product i.e 1852967
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1852967
Therefore, the GCF of Fractions 3527/239,1083/7753 is 1/1852967
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 239,7753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,7753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,7753) x common factors =1 x 1 = 1
LCM(239,7753) = ( 239 × 7753 ) / 1
LCM(239,7753) = 1852967 / 1
LCM(239,7753) = 1852967
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 3527/239, 1083/7753?
Answer: GCF of Numerators as per given numbers 3527/239, 1083/7753 is
GCF of Numerators i.e. for 3527,1083 is 1
LCM of denominators i.e. for 239,7753 is 1852967.
Thus, GCF of Fractions is 1/1852967.Finally, GCF of Fractions for 3527/239, 1083/7753 is 1/1852967.