Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 419/142,526/114
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 419,526
Greatest Common Factor of Numerators i.e. GCF of 419,526 is 1 .
LCM of Denominators means LCM of 142,114 as per the given fractions.
LCM of 142,114 is 8094 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 419,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 419,526 . The biggest common factor number is the GCF number.
So the greatest common factor 419,526 is 1.
Lets's calculate LCM of 142,114
2 | 142, 114 |
71, 57 |
∴ So the LCM of the given numbers is 2 x 71 x 57 = 8094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8094
Therefore, the GCF of Fractions 419/142,526/114 is 1/8094
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 142,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,114) x common factors =2 x 1 = 2
LCM(142,114) = ( 142 × 114 ) / 2
LCM(142,114) = 16188 / 2
LCM(142,114) = 8094
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 419/142, 526/114?
Answer: GCF of Numerators as per given numbers 419/142, 526/114 is
GCF of Numerators i.e. for 419,526 is 1
LCM of denominators i.e. for 142,114 is 8094.
Thus, GCF of Fractions is 1/8094.Finally, GCF of Fractions for 419/142, 526/114 is 1/8094.