GCF of 8398/177, 9514/7411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8398/177, 9514/7411 i.e 2/1311747 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8398/177, 9514/7411.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8398/177,9514/7411?
Given fractions are 8398/177,9514/7411
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8398/177,9514/7411, numerators are 8398,9514
Denominators are 177,7411
The GCF of 8398,9514 is 2 .
LCM of 177,7411 is 1311747.
The greatest common factor of 8398/177,9514/7411 = [GCF of 8398,9514]/[LCM of 177,7411]= 2/1311747
Therefore, the GCF of 8398/177,9514/7411 is 2/1311747.
To find the highest common factor of 8398,9514, we have to find the factors of both numbers and list the highest common factor.
The factors of 8398 are 1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398
The factors of 9514 are 1, 2, 67, 71, 134, 142, 4757, 9514
The HCF of 8398,9514 is 2.
Lets's calculate GCF of 8398,9514
| 2 | 8398, 9514 |
| 4199, 4757 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8398,9514 By Matching Biggest Common Factor Method
Now, list down the factors of 8398
:1,2,13,17,19,26,34,38,221,247,323,442,494,646,4199,8398
Now, list down the factors of 9514
:1,2,67,71,134,142,4757,9514
Greatest Common Factor
We found the factors 8398,9514 . The biggest common factor number is the GCF number.
So the greatest common factor 8398,9514 is 2.
Lets's calculate LCM of 177,7411
Given numbers has no common factors except 1. So, there LCM is their product i.e 1311747
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1311747
Therefore, the GCF of Fractions 8398/177,9514/7411 is 2/1311747
Least Common Multiple of 177,7411 with GCF Formula
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 177,7411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,7411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,7411) x common factors =1 x 1 = 1
LCM(177,7411) = ( 177 × 7411 ) / 1
LCM(177,7411) = 1311747 / 1
LCM(177,7411) = 1311747
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8398/177, 9514/7411
1. What is the HCF of 8398,9514?
The HCF of 8398,9514 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 8398/177, 9514/7411?
Answer: GCF of Numerators as per given numbers 8398/177, 9514/7411 is
GCF of Numerators i.e. for 8398,9514 is 2
LCM of denominators i.e. for 177,7411 is 1311747.
Thus, GCF of Fractions is 2/1311747.Finally, GCF of Fractions for 8398/177, 9514/7411 is 2/1311747.