Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3122/149,6846/541
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 3122,6846
Greatest Common Factor of Numerators i.e. GCF of 3122,6846 is 14 .
LCM of Denominators means LCM of 149,541 as per the given fractions.
LCM of 149,541 is 80609 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3122,6846
2 | 3122, 6846 |
7 | 1561, 3423 |
223, 489 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 3122
List of positive integer factors of 3122 that divides 3122 without a remainder.
1,2,7,14,223,446,1561,3122
Factors of 6846
List of positive integer factors of 6846 that divides 6846 without a remainder.
1,2,3,6,7,14,21,42,163,326,489,978,1141,2282,3423,6846
Greatest Common Factor
We found the factors 3122,6846 . The biggest common factor number is the GCF number.
So the greatest common factor 3122,6846 is 14.
Lets's calculate LCM of 149,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 80609
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/80609
Therefore, the GCF of Fractions 3122/149,6846/541 is 14/80609
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 149,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,541) x common factors =1 x 1 = 1
LCM(149,541) = ( 149 × 541 ) / 1
LCM(149,541) = 80609 / 1
LCM(149,541) = 80609
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 3122/149, 6846/541?
Answer: GCF of Numerators as per given numbers 3122/149, 6846/541 is
GCF of Numerators i.e. for 3122,6846 is 14
LCM of denominators i.e. for 149,541 is 80609.
Thus, GCF of Fractions is 14/80609.Finally, GCF of Fractions for 3122/149, 6846/541 is 14/80609.