GCF of 495/203, 385/882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 495/203, 385/882 i.e 55/25578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 495/203, 385/882.
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 495/203,385/882?
Given fractions are 495/203,385/882
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 495/203,385/882, numerators are 495,385
Denominators are 203,882
The GCF of 495,385 is 55 .
LCM of 203,882 is 25578.
The greatest common factor of 495/203,385/882 = [GCF of 495,385]/[LCM of 203,882]= 55/25578
Therefore, the GCF of 495/203,385/882 is 55/25578.
To find the highest common factor of 495,385, 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 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 495,385 is 55.
Lets's calculate GCF of 495,385
| 5 | 495, 385 |
| 11 | 99, 77 |
| 9, 7 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 495,385 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 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 495,385 . The biggest common factor number is the GCF number.
So the greatest common factor 495,385 is 55.
Lets's calculate LCM of 203,882
| 7 | 203, 882 |
| 29, 126 |
∴ So the LCM of the given numbers is 7 x 29 x 126 = 25578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/25578
Therefore, the GCF of Fractions 495/203,385/882 is 55/25578
Least Common Multiple of 203,882 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 203,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,882) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(203,882) x common factors =7 x 1 = 7
LCM(203,882) = ( 203 × 882 ) / 7
LCM(203,882) = 179046 / 7
LCM(203,882) = 25578
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FAQs on GCF of Fractions of 495/203, 385/882
1. What is the HCF of 495,385?
The HCF of 495,385 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 495/203, 385/882?
Answer: GCF of Numerators as per given numbers 495/203, 385/882 is
GCF of Numerators i.e. for 495,385 is 55
LCM of denominators i.e. for 203,882 is 25578.
Thus, GCF of Fractions is 55/25578.Finally, GCF of Fractions for 495/203, 385/882 is 55/25578.