Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9577/609,8138/7485
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 9577,8138
Greatest Common Factor of Numerators i.e. GCF of 9577,8138 is 1 .
LCM of Denominators means LCM of 609,7485 as per the given fractions.
LCM of 609,7485 is 1519455 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9577,8138
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9577
List of positive integer factors of 9577 that divides 9577 without a remainder.
1,61,157,9577
Factors of 8138
List of positive integer factors of 8138 that divides 8138 without a remainder.
1,2,13,26,313,626,4069,8138
Greatest Common Factor
We found the factors 9577,8138 . The biggest common factor number is the GCF number.
So the greatest common factor 9577,8138 is 1.
Lets's calculate LCM of 609,7485
3 | 609, 7485 |
203, 2495 |
∴ So the LCM of the given numbers is 3 x 203 x 2495 = 1519455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1519455
Therefore, the GCF of Fractions 9577/609,8138/7485 is 1/1519455
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 609,7485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,7485) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(609,7485) x common factors =3 x 1 = 3
LCM(609,7485) = ( 609 × 7485 ) / 3
LCM(609,7485) = 4558365 / 3
LCM(609,7485) = 1519455
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 9577/609, 8138/7485?
Answer: GCF of Numerators as per given numbers 9577/609, 8138/7485 is
GCF of Numerators i.e. for 9577,8138 is 1
LCM of denominators i.e. for 609,7485 is 1519455.
Thus, GCF of Fractions is 1/1519455.Finally, GCF of Fractions for 9577/609, 8138/7485 is 1/1519455.