GCF of 495/243, 550/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 495/243, 550/867 i.e 55/70227 easily. The following is the detailed procedure to determine the greatest common factor of fractions 495/243, 550/867.
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 495/243,550/867?
Given fractions are 495/243,550/867
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 495/243,550/867, numerators are 495,550
Denominators are 243,867
The GCF of 495,550 is 55 .
LCM of 243,867 is 70227.
The greatest common factor of 495/243,550/867 = [GCF of 495,550]/[LCM of 243,867]= 55/70227
Therefore, the GCF of 495/243,550/867 is 55/70227.
To find the highest common factor of 495,550, we have to find the factors of both numbers and list the highest common factor.
The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The HCF of 495,550 is 55.
Lets's calculate GCF of 495,550
| 5 | 495, 550 |
| 11 | 99, 110 |
| 9, 10 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 495,550 By Matching Biggest Common Factor Method
Now, list down the factors of 495
:1,3,5,9,11,15,33,45,55,99,165,495
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 495,550 . The biggest common factor number is the GCF number.
So the greatest common factor 495,550 is 55.
Lets's calculate LCM of 243,867
| 3 | 243, 867 |
| 81, 289 |
∴ So the LCM of the given numbers is 3 x 81 x 289 = 70227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/70227
Therefore, the GCF of Fractions 495/243,550/867 is 55/70227
Least Common Multiple of 243,867 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 243,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,867) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(243,867) x common factors =3 x 1 = 3
LCM(243,867) = ( 243 × 867 ) / 3
LCM(243,867) = 210681 / 3
LCM(243,867) = 70227
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FAQs on GCF of Fractions of 495/243, 550/867
1. What is the HCF of 495,550?
The HCF of 495,550 is 55
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 495/243, 550/867?
Answer: GCF of Numerators as per given numbers 495/243, 550/867 is
GCF of Numerators i.e. for 495,550 is 55
LCM of denominators i.e. for 243,867 is 70227.
Thus, GCF of Fractions is 55/70227.Finally, GCF of Fractions for 495/243, 550/867 is 55/70227.