Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 484/142,2879/302
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 484,2879
Greatest Common Factor of Numerators i.e. GCF of 484,2879 is 1 .
LCM of Denominators means LCM of 142,302 as per the given fractions.
LCM of 142,302 is 21442 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 484,2879
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Factors of 2879
List of positive integer factors of 2879 that divides 2879 without a remainder.
1,2879
Greatest Common Factor
We found the factors 484,2879 . The biggest common factor number is the GCF number.
So the greatest common factor 484,2879 is 1.
Lets's calculate LCM of 142,302
2 | 142, 302 |
71, 151 |
∴ So the LCM of the given numbers is 2 x 71 x 151 = 21442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21442
Therefore, the GCF of Fractions 484/142,2879/302 is 1/21442
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 142,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,302) x common factors =2 x 1 = 2
LCM(142,302) = ( 142 × 302 ) / 2
LCM(142,302) = 42884 / 2
LCM(142,302) = 21442
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 484/142, 2879/302?
Answer: GCF of Numerators as per given numbers 484/142, 2879/302 is
GCF of Numerators i.e. for 484,2879 is 1
LCM of denominators i.e. for 142,302 is 21442.
Thus, GCF of Fractions is 1/21442.Finally, GCF of Fractions for 484/142, 2879/302 is 1/21442.