Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/41,28/39,932/271
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 77,28,932
Greatest Common Factor of Numerators i.e. GCF of 77,28,932 is 1 .
LCM of Denominators means LCM of 41,39,271 as per the given fractions.
LCM of 41,39,271 is 433329 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 77,28,932
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Greatest Common Factor
We found the factors 77,28,932 . The biggest common factor number is the GCF number.
So the greatest common factor 77,28,932 is 1.
Lets's calculate LCM of 41,39,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 433329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433329
Therefore, the GCF of Fractions 77/41,28/39,932/271 is 1/433329
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 41,39,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,39,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,39,271) x common factors =1 x 1 = 1
LCM(41,39,271) = ( 41 × 39 × 271 ) / 1
LCM(41,39,271) = 433329 / 1
LCM(41,39,271) = 433329
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 77/41, 28/39, 932/271?
Answer: GCF of Numerators as per given numbers 77/41, 28/39, 932/271 is
GCF of Numerators i.e. for 77,28,932 is 1
LCM of denominators i.e. for 41,39,271 is 433329.
Thus, GCF of Fractions is 1/433329.Finally, GCF of Fractions for 77/41, 28/39, 932/271 is 1/433329.