GCF of 8468/454, 6815/8546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8468/454, 6815/8546 i.e 29/1939942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8468/454, 6815/8546.
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 8468/454,6815/8546?
Given fractions are 8468/454,6815/8546
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 8468/454,6815/8546, numerators are 8468,6815
Denominators are 454,8546
The GCF of 8468,6815 is 29 .
LCM of 454,8546 is 1939942.
The greatest common factor of 8468/454,6815/8546 = [GCF of 8468,6815]/[LCM of 454,8546]= 29/1939942
Therefore, the GCF of 8468/454,6815/8546 is 29/1939942.
To find the highest common factor of 8468,6815, we have to find the factors of both numbers and list the highest common factor.
The factors of 8468 are 1, 2, 4, 29, 58, 73, 116, 146, 292, 2117, 4234, 8468
The factors of 6815 are 1, 5, 29, 47, 145, 235, 1363, 6815
The HCF of 8468,6815 is 29.
Lets's calculate GCF of 8468,6815
| 29 | 8468, 6815 |
| 292, 235 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 8468,6815 By Matching Biggest Common Factor Method
Now, list down the factors of 8468
:1,2,4,29,58,73,116,146,292,2117,4234,8468
Now, list down the factors of 6815
:1,5,29,47,145,235,1363,6815
Greatest Common Factor
We found the factors 8468,6815 . The biggest common factor number is the GCF number.
So the greatest common factor 8468,6815 is 29.
Lets's calculate LCM of 454,8546
| 2 | 454, 8546 |
| 227, 4273 |
∴ So the LCM of the given numbers is 2 x 227 x 4273 = 1939942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/1939942
Therefore, the GCF of Fractions 8468/454,6815/8546 is 29/1939942
Least Common Multiple of 454,8546 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 454,8546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,8546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,8546) x common factors =2 x 1 = 2
LCM(454,8546) = ( 454 × 8546 ) / 2
LCM(454,8546) = 3879884 / 2
LCM(454,8546) = 1939942
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8468/454, 6815/8546
1. What is the HCF of 8468,6815?
The HCF of 8468,6815 is 29
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 8468/454, 6815/8546?
Answer: GCF of Numerators as per given numbers 8468/454, 6815/8546 is
GCF of Numerators i.e. for 8468,6815 is 29
LCM of denominators i.e. for 454,8546 is 1939942.
Thus, GCF of Fractions is 29/1939942.Finally, GCF of Fractions for 8468/454, 6815/8546 is 29/1939942.