Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9098/756,1434/9317
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 9098,1434
Greatest Common Factor of Numerators i.e. GCF of 9098,1434 is 2 .
LCM of Denominators means LCM of 756,9317 as per the given fractions.
LCM of 756,9317 is 1006236 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9098,1434
2 | 9098, 1434 |
4549, 717 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9098
List of positive integer factors of 9098 that divides 9098 without a remainder.
1,2,4549,9098
Factors of 1434
List of positive integer factors of 1434 that divides 1434 without a remainder.
1,2,3,6,239,478,717,1434
Greatest Common Factor
We found the factors 9098,1434 . The biggest common factor number is the GCF number.
So the greatest common factor 9098,1434 is 2.
Lets's calculate LCM of 756,9317
7 | 756, 9317 |
108, 1331 |
∴ So the LCM of the given numbers is 7 x 108 x 1331 = 1006236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1006236
Therefore, the GCF of Fractions 9098/756,1434/9317 is 2/1006236
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 756,9317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,9317) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(756,9317) x common factors =7 x 1 = 7
LCM(756,9317) = ( 756 × 9317 ) / 7
LCM(756,9317) = 7043652 / 7
LCM(756,9317) = 1006236
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 9098/756, 1434/9317?
Answer: GCF of Numerators as per given numbers 9098/756, 1434/9317 is
GCF of Numerators i.e. for 9098,1434 is 2
LCM of denominators i.e. for 756,9317 is 1006236.
Thus, GCF of Fractions is 2/1006236.Finally, GCF of Fractions for 9098/756, 1434/9317 is 2/1006236.