Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 299/674,7874/484
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 299,7874
Greatest Common Factor of Numerators i.e. GCF of 299,7874 is 1 .
LCM of Denominators means LCM of 674,484 as per the given fractions.
LCM of 674,484 is 163108 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 299,7874
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 7874
List of positive integer factors of 7874 that divides 7874 without a remainder.
1,2,31,62,127,254,3937,7874
Greatest Common Factor
We found the factors 299,7874 . The biggest common factor number is the GCF number.
So the greatest common factor 299,7874 is 1.
Lets's calculate LCM of 674,484
2 | 674, 484 |
337, 242 |
∴ So the LCM of the given numbers is 2 x 337 x 242 = 163108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163108
Therefore, the GCF of Fractions 299/674,7874/484 is 1/163108
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 674,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,484) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,484) x common factors =2 x 1 = 2
LCM(674,484) = ( 674 × 484 ) / 2
LCM(674,484) = 326216 / 2
LCM(674,484) = 163108
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 299/674, 7874/484?
Answer: GCF of Numerators as per given numbers 299/674, 7874/484 is
GCF of Numerators i.e. for 299,7874 is 1
LCM of denominators i.e. for 674,484 is 163108.
Thus, GCF of Fractions is 1/163108.Finally, GCF of Fractions for 299/674, 7874/484 is 1/163108.