GCF of 8298/636, 7575/4611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8298/636, 7575/4611 i.e 3/18444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8298/636, 7575/4611.
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 8298/636,7575/4611?
Given fractions are 8298/636,7575/4611
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 8298/636,7575/4611, numerators are 8298,7575
Denominators are 636,4611
The GCF of 8298,7575 is 3 .
LCM of 636,4611 is 18444.
The greatest common factor of 8298/636,7575/4611 = [GCF of 8298,7575]/[LCM of 636,4611]= 3/18444
Therefore, the GCF of 8298/636,7575/4611 is 3/18444.
To find the highest common factor of 8298,7575, we have to find the factors of both numbers and list the highest common factor.
The factors of 8298 are 1, 2, 3, 6, 9, 18, 461, 922, 1383, 2766, 4149, 8298
The factors of 7575 are 1, 3, 5, 15, 25, 75, 101, 303, 505, 1515, 2525, 7575
The HCF of 8298,7575 is 3.
Lets's calculate GCF of 8298,7575
| 3 | 8298, 7575 |
| 2766, 2525 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8298,7575 By Matching Biggest Common Factor Method
Now, list down the factors of 8298
:1,2,3,6,9,18,461,922,1383,2766,4149,8298
Now, list down the factors of 7575
:1,3,5,15,25,75,101,303,505,1515,2525,7575
Greatest Common Factor
We found the factors 8298,7575 . The biggest common factor number is the GCF number.
So the greatest common factor 8298,7575 is 3.
Lets's calculate LCM of 636,4611
| 3 | 636, 4611 |
| 53 | 212, 1537 |
| 4, 29 |
∴ So the LCM of the given numbers is 3 x 53 x 4 x 29 = 18444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18444
Therefore, the GCF of Fractions 8298/636,7575/4611 is 3/18444
Least Common Multiple of 636,4611 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 636,4611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,4611) = 159
common factors(in case of two or more numbers have common factors) = 1
GCF(636,4611) x common factors =159 x 1 = 159
LCM(636,4611) = ( 636 × 4611 ) / 159
LCM(636,4611) = 2932596 / 159
LCM(636,4611) = 18444
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FAQs on GCF of Fractions of 8298/636, 7575/4611
1. What is the HCF of 8298,7575?
The HCF of 8298,7575 is 3
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 8298/636, 7575/4611?
Answer: GCF of Numerators as per given numbers 8298/636, 7575/4611 is
GCF of Numerators i.e. for 8298,7575 is 3
LCM of denominators i.e. for 636,4611 is 18444.
Thus, GCF of Fractions is 3/18444.Finally, GCF of Fractions for 8298/636, 7575/4611 is 3/18444.