GCF of 7147/575, 8216/3841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7147/575, 8216/3841 i.e 1/96025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7147/575, 8216/3841.
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 7147/575,8216/3841?
Given fractions are 7147/575,8216/3841
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 7147/575,8216/3841, numerators are 7147,8216
Denominators are 575,3841
The GCF of 7147,8216 is 1 .
LCM of 575,3841 is 96025.
The greatest common factor of 7147/575,8216/3841 = [GCF of 7147,8216]/[LCM of 575,3841]= 1/96025
Therefore, the GCF of 7147/575,8216/3841 is 1/96025.
To find the highest common factor of 7147,8216, we have to find the factors of both numbers and list the highest common factor.
The factors of 7147 are 1, 7, 1021, 7147
The factors of 8216 are 1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216
The HCF of 7147,8216 is 1.
Lets's calculate GCF of 7147,8216
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7147,8216 By Matching Biggest Common Factor Method
Now, list down the factors of 7147
:1,7,1021,7147
Now, list down the factors of 8216
:1,2,4,8,13,26,52,79,104,158,316,632,1027,2054,4108,8216
Greatest Common Factor
We found the factors 7147,8216 . The biggest common factor number is the GCF number.
So the greatest common factor 7147,8216 is 1.
Lets's calculate LCM of 575,3841
| 23 | 575, 3841 |
| 25, 167 |
∴ So the LCM of the given numbers is 23 x 25 x 167 = 96025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96025
Therefore, the GCF of Fractions 7147/575,8216/3841 is 1/96025
Least Common Multiple of 575,3841 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 575,3841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,3841) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(575,3841) x common factors =23 x 1 = 23
LCM(575,3841) = ( 575 × 3841 ) / 23
LCM(575,3841) = 2208575 / 23
LCM(575,3841) = 96025
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7147/575, 8216/3841
1. What is the HCF of 7147,8216?
The HCF of 7147,8216 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 7147/575, 8216/3841?
Answer: GCF of Numerators as per given numbers 7147/575, 8216/3841 is
GCF of Numerators i.e. for 7147,8216 is 1
LCM of denominators i.e. for 575,3841 is 96025.
Thus, GCF of Fractions is 1/96025.Finally, GCF of Fractions for 7147/575, 8216/3841 is 1/96025.