Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8554/77,4354/301
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 8554,4354
Greatest Common Factor of Numerators i.e. GCF of 8554,4354 is 14 .
LCM of Denominators means LCM of 77,301 as per the given fractions.
LCM of 77,301 is 3311 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8554,4354
2 | 8554, 4354 |
7 | 4277, 2177 |
611, 311 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 8554
List of positive integer factors of 8554 that divides 8554 without a remainder.
1,2,7,13,14,26,47,91,94,182,329,611,658,1222,4277,8554
Factors of 4354
List of positive integer factors of 4354 that divides 4354 without a remainder.
1,2,7,14,311,622,2177,4354
Greatest Common Factor
We found the factors 8554,4354 . The biggest common factor number is the GCF number.
So the greatest common factor 8554,4354 is 14.
Lets's calculate LCM of 77,301
7 | 77, 301 |
11, 43 |
∴ So the LCM of the given numbers is 7 x 11 x 43 = 3311
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3311
Therefore, the GCF of Fractions 8554/77,4354/301 is 14/3311
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 77,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,301) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(77,301) x common factors =7 x 1 = 7
LCM(77,301) = ( 77 × 301 ) / 7
LCM(77,301) = 23177 / 7
LCM(77,301) = 3311
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 8554/77, 4354/301?
Answer: GCF of Numerators as per given numbers 8554/77, 4354/301 is
GCF of Numerators i.e. for 8554,4354 is 14
LCM of denominators i.e. for 77,301 is 3311.
Thus, GCF of Fractions is 14/3311.Finally, GCF of Fractions for 8554/77, 4354/301 is 14/3311.