GCF of 2255/840, 8181/528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2255/840, 8181/528 i.e 1/18480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2255/840, 8181/528.
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 2255/840,8181/528?
Given fractions are 2255/840,8181/528
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 2255/840,8181/528, numerators are 2255,8181
Denominators are 840,528
The GCF of 2255,8181 is 1 .
LCM of 840,528 is 18480.
The greatest common factor of 2255/840,8181/528 = [GCF of 2255,8181]/[LCM of 840,528]= 1/18480
Therefore, the GCF of 2255/840,8181/528 is 1/18480.
To find the highest common factor of 2255,8181, we have to find the factors of both numbers and list the highest common factor.
The factors of 2255 are 1, 5, 11, 41, 55, 205, 451, 2255
The factors of 8181 are 1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181
The HCF of 2255,8181 is 1.
Lets's calculate GCF of 2255,8181
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2255,8181 By Matching Biggest Common Factor Method
Now, list down the factors of 2255
:1,5,11,41,55,205,451,2255
Now, list down the factors of 8181
:1,3,9,27,81,101,303,909,2727,8181
Greatest Common Factor
We found the factors 2255,8181 . The biggest common factor number is the GCF number.
So the greatest common factor 2255,8181 is 1.
Lets's calculate LCM of 840,528
| 2 | 840, 528 |
| 2 | 420, 264 |
| 2 | 210, 132 |
| 3 | 105, 66 |
| 35, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 35 x 22 = 18480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18480
Therefore, the GCF of Fractions 2255/840,8181/528 is 1/18480
Least Common Multiple of 840,528 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 840,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,528) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(840,528) x common factors =24 x 1 = 24
LCM(840,528) = ( 840 × 528 ) / 24
LCM(840,528) = 443520 / 24
LCM(840,528) = 18480
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FAQs on GCF of Fractions of 2255/840, 8181/528
1. What is the HCF of 2255,8181?
The HCF of 2255,8181 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 2255/840, 8181/528?
Answer: GCF of Numerators as per given numbers 2255/840, 8181/528 is
GCF of Numerators i.e. for 2255,8181 is 1
LCM of denominators i.e. for 840,528 is 18480.
Thus, GCF of Fractions is 1/18480.Finally, GCF of Fractions for 2255/840, 8181/528 is 1/18480.