Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9298/429,9208/5232
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 9298,9208
Greatest Common Factor of Numerators i.e. GCF of 9298,9208 is 2 .
LCM of Denominators means LCM of 429,5232 as per the given fractions.
LCM of 429,5232 is 748176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9298,9208
2 | 9298, 9208 |
4649, 4604 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9298
List of positive integer factors of 9298 that divides 9298 without a remainder.
1,2,4649,9298
Factors of 9208
List of positive integer factors of 9208 that divides 9208 without a remainder.
1,2,4,8,1151,2302,4604,9208
Greatest Common Factor
We found the factors 9298,9208 . The biggest common factor number is the GCF number.
So the greatest common factor 9298,9208 is 2.
Lets's calculate LCM of 429,5232
3 | 429, 5232 |
143, 1744 |
∴ So the LCM of the given numbers is 3 x 143 x 1744 = 748176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/748176
Therefore, the GCF of Fractions 9298/429,9208/5232 is 2/748176
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 429,5232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,5232) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(429,5232) x common factors =3 x 1 = 3
LCM(429,5232) = ( 429 × 5232 ) / 3
LCM(429,5232) = 2244528 / 3
LCM(429,5232) = 748176
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 9298/429, 9208/5232?
Answer: GCF of Numerators as per given numbers 9298/429, 9208/5232 is
GCF of Numerators i.e. for 9298,9208 is 2
LCM of denominators i.e. for 429,5232 is 748176.
Thus, GCF of Fractions is 2/748176.Finally, GCF of Fractions for 9298/429, 9208/5232 is 2/748176.