Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/718,1755/4096
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 76,1755
Greatest Common Factor of Numerators i.e. GCF of 76,1755 is 1 .
LCM of Denominators means LCM of 718,4096 as per the given fractions.
LCM of 718,4096 is 1470464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 76,1755
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 1755
List of positive integer factors of 1755 that divides 1755 without a remainder.
1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755
Greatest Common Factor
We found the factors 76,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 76,1755 is 1.
Lets's calculate LCM of 718,4096
2 | 718, 4096 |
359, 2048 |
∴ So the LCM of the given numbers is 2 x 359 x 2048 = 1470464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1470464
Therefore, the GCF of Fractions 76/718,1755/4096 is 1/1470464
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 718,4096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,4096) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,4096) x common factors =2 x 1 = 2
LCM(718,4096) = ( 718 × 4096 ) / 2
LCM(718,4096) = 2940928 / 2
LCM(718,4096) = 1470464
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 76/718, 1755/4096?
Answer: GCF of Numerators as per given numbers 76/718, 1755/4096 is
GCF of Numerators i.e. for 76,1755 is 1
LCM of denominators i.e. for 718,4096 is 1470464.
Thus, GCF of Fractions is 1/1470464.Finally, GCF of Fractions for 76/718, 1755/4096 is 1/1470464.