Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4513/84,8802/526
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 4513,8802
Greatest Common Factor of Numerators i.e. GCF of 4513,8802 is 1 .
LCM of Denominators means LCM of 84,526 as per the given fractions.
LCM of 84,526 is 22092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4513,8802
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4513
List of positive integer factors of 4513 that divides 4513 without a remainder.
1,4513
Factors of 8802
List of positive integer factors of 8802 that divides 8802 without a remainder.
1,2,3,6,9,18,27,54,163,326,489,978,1467,2934,4401,8802
Greatest Common Factor
We found the factors 4513,8802 . The biggest common factor number is the GCF number.
So the greatest common factor 4513,8802 is 1.
Lets's calculate LCM of 84,526
2 | 84, 526 |
42, 263 |
∴ So the LCM of the given numbers is 2 x 42 x 263 = 22092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22092
Therefore, the GCF of Fractions 4513/84,8802/526 is 1/22092
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 84,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,526) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(84,526) x common factors =2 x 1 = 2
LCM(84,526) = ( 84 × 526 ) / 2
LCM(84,526) = 44184 / 2
LCM(84,526) = 22092
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 4513/84, 8802/526?
Answer: GCF of Numerators as per given numbers 4513/84, 8802/526 is
GCF of Numerators i.e. for 4513,8802 is 1
LCM of denominators i.e. for 84,526 is 22092.
Thus, GCF of Fractions is 1/22092.Finally, GCF of Fractions for 4513/84, 8802/526 is 1/22092.