GCF of 5526/768, 8435/268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5526/768, 8435/268 i.e 1/51456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5526/768, 8435/268.
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 5526/768,8435/268?
Given fractions are 5526/768,8435/268
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 5526/768,8435/268, numerators are 5526,8435
Denominators are 768,268
The GCF of 5526,8435 is 1 .
LCM of 768,268 is 51456.
The greatest common factor of 5526/768,8435/268 = [GCF of 5526,8435]/[LCM of 768,268]= 1/51456
Therefore, the GCF of 5526/768,8435/268 is 1/51456.
To find the highest common factor of 5526,8435, we have to find the factors of both numbers and list the highest common factor.
The factors of 5526 are 1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526
The factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435
The HCF of 5526,8435 is 1.
Lets's calculate GCF of 5526,8435
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5526,8435 By Matching Biggest Common Factor Method
Now, list down the factors of 5526
:1,2,3,6,9,18,307,614,921,1842,2763,5526
Now, list down the factors of 8435
:1,5,7,35,241,1205,1687,8435
Greatest Common Factor
We found the factors 5526,8435 . The biggest common factor number is the GCF number.
So the greatest common factor 5526,8435 is 1.
Lets's calculate LCM of 768,268
| 2 | 768, 268 |
| 2 | 384, 134 |
| 192, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 192 x 67 = 51456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51456
Therefore, the GCF of Fractions 5526/768,8435/268 is 1/51456
Least Common Multiple of 768,268 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 768,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,268) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(768,268) x common factors =4 x 1 = 4
LCM(768,268) = ( 768 × 268 ) / 4
LCM(768,268) = 205824 / 4
LCM(768,268) = 51456
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5526/768, 8435/268
1. What is the HCF of 5526,8435?
The HCF of 5526,8435 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 5526/768, 8435/268?
Answer: GCF of Numerators as per given numbers 5526/768, 8435/268 is
GCF of Numerators i.e. for 5526,8435 is 1
LCM of denominators i.e. for 768,268 is 51456.
Thus, GCF of Fractions is 1/51456.Finally, GCF of Fractions for 5526/768, 8435/268 is 1/51456.