Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/71,55/827,91/278
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 7,55,91
Greatest Common Factor of Numerators i.e. GCF of 7,55,91 is 1 .
LCM of Denominators means LCM of 71,827,278 as per the given fractions.
LCM of 71,827,278 is 16323326 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,55,91
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Greatest Common Factor
We found the factors 7,55,91 . The biggest common factor number is the GCF number.
So the greatest common factor 7,55,91 is 1.
Lets's calculate LCM of 71,827,278
Given numbers has no common factors except 1. So, there LCM is their product i.e 16323326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16323326
Therefore, the GCF of Fractions 7/71,55/827,91/278 is 1/16323326
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 71,827,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,827,278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,827,278) x common factors =1 x 1 = 1
LCM(71,827,278) = ( 71 × 827 × 278 ) / 1
LCM(71,827,278) = 16323326 / 1
LCM(71,827,278) = 16323326
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 7/71, 55/827, 91/278?
Answer: GCF of Numerators as per given numbers 7/71, 55/827, 91/278 is
GCF of Numerators i.e. for 7,55,91 is 1
LCM of denominators i.e. for 71,827,278 is 16323326.
Thus, GCF of Fractions is 1/16323326.Finally, GCF of Fractions for 7/71, 55/827, 91/278 is 1/16323326.