GCF of 476/855, 8638/885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 476/855, 8638/885 i.e 14/50445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 476/855, 8638/885.
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 476/855,8638/885?
Given fractions are 476/855,8638/885
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 476/855,8638/885, numerators are 476,8638
Denominators are 855,885
The GCF of 476,8638 is 14 .
LCM of 855,885 is 50445.
The greatest common factor of 476/855,8638/885 = [GCF of 476,8638]/[LCM of 855,885]= 14/50445
Therefore, the GCF of 476/855,8638/885 is 14/50445.
To find the highest common factor of 476,8638, we have to find the factors of both numbers and list the highest common factor.
The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
The factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638
The HCF of 476,8638 is 14.
Lets's calculate GCF of 476,8638
| 2 | 476, 8638 |
| 7 | 238, 4319 |
| 34, 617 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 476,8638 By Matching Biggest Common Factor Method
Now, list down the factors of 476
:1,2,4,7,14,17,28,34,68,119,238,476
Now, list down the factors of 8638
:1,2,7,14,617,1234,4319,8638
Greatest Common Factor
We found the factors 476,8638 . The biggest common factor number is the GCF number.
So the greatest common factor 476,8638 is 14.
Lets's calculate LCM of 855,885
| 3 | 855, 885 |
| 5 | 285, 295 |
| 57, 59 |
∴ So the LCM of the given numbers is 3 x 5 x 57 x 59 = 50445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/50445
Therefore, the GCF of Fractions 476/855,8638/885 is 14/50445
Least Common Multiple of 855,885 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 855,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,885) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(855,885) x common factors =15 x 1 = 15
LCM(855,885) = ( 855 × 885 ) / 15
LCM(855,885) = 756675 / 15
LCM(855,885) = 50445
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FAQs on GCF of Fractions of 476/855, 8638/885
1. What is the HCF of 476,8638?
The HCF of 476,8638 is 14
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 476/855, 8638/885?
Answer: GCF of Numerators as per given numbers 476/855, 8638/885 is
GCF of Numerators i.e. for 476,8638 is 14
LCM of denominators i.e. for 855,885 is 50445.
Thus, GCF of Fractions is 14/50445.Finally, GCF of Fractions for 476/855, 8638/885 is 14/50445.