GCF of 5755/814, 9653/8282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5755/814, 9653/8282 i.e 1/3370774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5755/814, 9653/8282.
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 5755/814,9653/8282?
Given fractions are 5755/814,9653/8282
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 5755/814,9653/8282, numerators are 5755,9653
Denominators are 814,8282
The GCF of 5755,9653 is 1 .
LCM of 814,8282 is 3370774.
The greatest common factor of 5755/814,9653/8282 = [GCF of 5755,9653]/[LCM of 814,8282]= 1/3370774
Therefore, the GCF of 5755/814,9653/8282 is 1/3370774.
To find the highest common factor of 5755,9653, we have to find the factors of both numbers and list the highest common factor.
The factors of 5755 are 1, 5, 1151, 5755
The factors of 9653 are 1, 7, 49, 197, 1379, 9653
The HCF of 5755,9653 is 1.
Lets's calculate GCF of 5755,9653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5755,9653 By Matching Biggest Common Factor Method
Now, list down the factors of 5755
:1,5,1151,5755
Now, list down the factors of 9653
:1,7,49,197,1379,9653
Greatest Common Factor
We found the factors 5755,9653 . The biggest common factor number is the GCF number.
So the greatest common factor 5755,9653 is 1.
Lets's calculate LCM of 814,8282
| 2 | 814, 8282 |
| 407, 4141 |
∴ So the LCM of the given numbers is 2 x 407 x 4141 = 3370774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3370774
Therefore, the GCF of Fractions 5755/814,9653/8282 is 1/3370774
Least Common Multiple of 814,8282 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 814,8282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,8282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,8282) x common factors =2 x 1 = 2
LCM(814,8282) = ( 814 × 8282 ) / 2
LCM(814,8282) = 6741548 / 2
LCM(814,8282) = 3370774
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5755/814, 9653/8282
1. What is the HCF of 5755,9653?
The HCF of 5755,9653 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 5755/814, 9653/8282?
Answer: GCF of Numerators as per given numbers 5755/814, 9653/8282 is
GCF of Numerators i.e. for 5755,9653 is 1
LCM of denominators i.e. for 814,8282 is 3370774.
Thus, GCF of Fractions is 1/3370774.Finally, GCF of Fractions for 5755/814, 9653/8282 is 1/3370774.