GCF of 8255/915, 4652/8094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8255/915, 4652/8094 i.e 1/2468670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8255/915, 4652/8094.
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 8255/915,4652/8094?
Given fractions are 8255/915,4652/8094
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 8255/915,4652/8094, numerators are 8255,4652
Denominators are 915,8094
The GCF of 8255,4652 is 1 .
LCM of 915,8094 is 2468670.
The greatest common factor of 8255/915,4652/8094 = [GCF of 8255,4652]/[LCM of 915,8094]= 1/2468670
Therefore, the GCF of 8255/915,4652/8094 is 1/2468670.
To find the highest common factor of 8255,4652, we have to find the factors of both numbers and list the highest common factor.
The factors of 8255 are 1, 5, 13, 65, 127, 635, 1651, 8255
The factors of 4652 are 1, 2, 4, 1163, 2326, 4652
The HCF of 8255,4652 is 1.
Lets's calculate GCF of 8255,4652
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8255,4652 By Matching Biggest Common Factor Method
Now, list down the factors of 8255
:1,5,13,65,127,635,1651,8255
Now, list down the factors of 4652
:1,2,4,1163,2326,4652
Greatest Common Factor
We found the factors 8255,4652 . The biggest common factor number is the GCF number.
So the greatest common factor 8255,4652 is 1.
Lets's calculate LCM of 915,8094
| 3 | 915, 8094 |
| 305, 2698 |
∴ So the LCM of the given numbers is 3 x 305 x 2698 = 2468670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2468670
Therefore, the GCF of Fractions 8255/915,4652/8094 is 1/2468670
Least Common Multiple of 915,8094 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 915,8094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,8094) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(915,8094) x common factors =3 x 1 = 3
LCM(915,8094) = ( 915 × 8094 ) / 3
LCM(915,8094) = 7406010 / 3
LCM(915,8094) = 2468670
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FAQs on GCF of Fractions of 8255/915, 4652/8094
1. What is the HCF of 8255,4652?
The HCF of 8255,4652 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 8255/915, 4652/8094?
Answer: GCF of Numerators as per given numbers 8255/915, 4652/8094 is
GCF of Numerators i.e. for 8255,4652 is 1
LCM of denominators i.e. for 915,8094 is 2468670.
Thus, GCF of Fractions is 1/2468670.Finally, GCF of Fractions for 8255/915, 4652/8094 is 1/2468670.