GCF of 9447/114, 4915/4684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9447/114, 4915/4684 i.e 1/266988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9447/114, 4915/4684.
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 9447/114,4915/4684?
Given fractions are 9447/114,4915/4684
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 9447/114,4915/4684, numerators are 9447,4915
Denominators are 114,4684
The GCF of 9447,4915 is 1 .
LCM of 114,4684 is 266988.
The greatest common factor of 9447/114,4915/4684 = [GCF of 9447,4915]/[LCM of 114,4684]= 1/266988
Therefore, the GCF of 9447/114,4915/4684 is 1/266988.
To find the highest common factor of 9447,4915, we have to find the factors of both numbers and list the highest common factor.
The factors of 9447 are 1, 3, 47, 67, 141, 201, 3149, 9447
The factors of 4915 are 1, 5, 983, 4915
The HCF of 9447,4915 is 1.
Lets's calculate GCF of 9447,4915
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9447,4915 By Matching Biggest Common Factor Method
Now, list down the factors of 9447
:1,3,47,67,141,201,3149,9447
Now, list down the factors of 4915
:1,5,983,4915
Greatest Common Factor
We found the factors 9447,4915 . The biggest common factor number is the GCF number.
So the greatest common factor 9447,4915 is 1.
Lets's calculate LCM of 114,4684
| 2 | 114, 4684 |
| 57, 2342 |
∴ So the LCM of the given numbers is 2 x 57 x 2342 = 266988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266988
Therefore, the GCF of Fractions 9447/114,4915/4684 is 1/266988
Least Common Multiple of 114,4684 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 114,4684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,4684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(114,4684) x common factors =2 x 1 = 2
LCM(114,4684) = ( 114 × 4684 ) / 2
LCM(114,4684) = 533976 / 2
LCM(114,4684) = 266988
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9447/114, 4915/4684
1. What is the HCF of 9447,4915?
The HCF of 9447,4915 is 1
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 9447/114, 4915/4684?
Answer: GCF of Numerators as per given numbers 9447/114, 4915/4684 is
GCF of Numerators i.e. for 9447,4915 is 1
LCM of denominators i.e. for 114,4684 is 266988.
Thus, GCF of Fractions is 1/266988.Finally, GCF of Fractions for 9447/114, 4915/4684 is 1/266988.