GCF of 5554/268, 5285/6564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5554/268, 5285/6564 i.e 1/439788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5554/268, 5285/6564.
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 5554/268,5285/6564?
Given fractions are 5554/268,5285/6564
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 5554/268,5285/6564, numerators are 5554,5285
Denominators are 268,6564
The GCF of 5554,5285 is 1 .
LCM of 268,6564 is 439788.
The greatest common factor of 5554/268,5285/6564 = [GCF of 5554,5285]/[LCM of 268,6564]= 1/439788
Therefore, the GCF of 5554/268,5285/6564 is 1/439788.
To find the highest common factor of 5554,5285, we have to find the factors of both numbers and list the highest common factor.
The factors of 5554 are 1, 2, 2777, 5554
The factors of 5285 are 1, 5, 7, 35, 151, 755, 1057, 5285
The HCF of 5554,5285 is 1.
Lets's calculate GCF of 5554,5285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5554,5285 By Matching Biggest Common Factor Method
Now, list down the factors of 5554
:1,2,2777,5554
Now, list down the factors of 5285
:1,5,7,35,151,755,1057,5285
Greatest Common Factor
We found the factors 5554,5285 . The biggest common factor number is the GCF number.
So the greatest common factor 5554,5285 is 1.
Lets's calculate LCM of 268,6564
| 2 | 268, 6564 |
| 2 | 134, 3282 |
| 67, 1641 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 1641 = 439788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439788
Therefore, the GCF of Fractions 5554/268,5285/6564 is 1/439788
Least Common Multiple of 268,6564 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 268,6564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,6564) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(268,6564) x common factors =4 x 1 = 4
LCM(268,6564) = ( 268 × 6564 ) / 4
LCM(268,6564) = 1759152 / 4
LCM(268,6564) = 439788
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FAQs on GCF of Fractions of 5554/268, 5285/6564
1. What is the HCF of 5554,5285?
The HCF of 5554,5285 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 5554/268, 5285/6564?
Answer: GCF of Numerators as per given numbers 5554/268, 5285/6564 is
GCF of Numerators i.e. for 5554,5285 is 1
LCM of denominators i.e. for 268,6564 is 439788.
Thus, GCF of Fractions is 1/439788.Finally, GCF of Fractions for 5554/268, 5285/6564 is 1/439788.