Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1215/943,2761/7708
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 1215,2761
Greatest Common Factor of Numerators i.e. GCF of 1215,2761 is 1 .
LCM of Denominators means LCM of 943,7708 as per the given fractions.
LCM of 943,7708 is 177284 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1215,2761
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1215
List of positive integer factors of 1215 that divides 1215 without a remainder.
1,3,5,9,15,27,45,81,135,243,405,1215
Factors of 2761
List of positive integer factors of 2761 that divides 2761 without a remainder.
1,11,251,2761
Greatest Common Factor
We found the factors 1215,2761 . The biggest common factor number is the GCF number.
So the greatest common factor 1215,2761 is 1.
Lets's calculate LCM of 943,7708
41 | 943, 7708 |
23, 188 |
∴ So the LCM of the given numbers is 41 x 23 x 188 = 177284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177284
Therefore, the GCF of Fractions 1215/943,2761/7708 is 1/177284
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 943,7708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,7708) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(943,7708) x common factors =41 x 1 = 41
LCM(943,7708) = ( 943 × 7708 ) / 41
LCM(943,7708) = 7268644 / 41
LCM(943,7708) = 177284
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 1215/943, 2761/7708?
Answer: GCF of Numerators as per given numbers 1215/943, 2761/7708 is
GCF of Numerators i.e. for 1215,2761 is 1
LCM of denominators i.e. for 943,7708 is 177284.
Thus, GCF of Fractions is 1/177284.Finally, GCF of Fractions for 1215/943, 2761/7708 is 1/177284.