Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/86,314/7373
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 424,314
Greatest Common Factor of Numerators i.e. GCF of 424,314 is 2 .
LCM of Denominators means LCM of 86,7373 as per the given fractions.
LCM of 86,7373 is 634078 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 424,314
2 | 424, 314 |
212, 157 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Greatest Common Factor
We found the factors 424,314 . The biggest common factor number is the GCF number.
So the greatest common factor 424,314 is 2.
Lets's calculate LCM of 86,7373
Given numbers has no common factors except 1. So, there LCM is their product i.e 634078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/634078
Therefore, the GCF of Fractions 424/86,314/7373 is 2/634078
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 86,7373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,7373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,7373) x common factors =1 x 1 = 1
LCM(86,7373) = ( 86 × 7373 ) / 1
LCM(86,7373) = 634078 / 1
LCM(86,7373) = 634078
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 424/86, 314/7373?
Answer: GCF of Numerators as per given numbers 424/86, 314/7373 is
GCF of Numerators i.e. for 424,314 is 2
LCM of denominators i.e. for 86,7373 is 634078.
Thus, GCF of Fractions is 2/634078.Finally, GCF of Fractions for 424/86, 314/7373 is 2/634078.