GCF of 476/21, 286/991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 476/21, 286/991 i.e 2/20811 easily. The following is the detailed procedure to determine the greatest common factor of fractions 476/21, 286/991.
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 476/21,286/991?
Given fractions are 476/21,286/991
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 476/21,286/991, numerators are 476,286
Denominators are 21,991
The GCF of 476,286 is 2 .
LCM of 21,991 is 20811.
The greatest common factor of 476/21,286/991 = [GCF of 476,286]/[LCM of 21,991]= 2/20811
Therefore, the GCF of 476/21,286/991 is 2/20811.
To find the highest common factor of 476,286, 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 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 476,286 is 2.
Lets's calculate GCF of 476,286
| 2 | 476, 286 |
| 238, 143 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 476,286 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 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 476,286 . The biggest common factor number is the GCF number.
So the greatest common factor 476,286 is 2.
Lets's calculate LCM of 21,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 20811
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20811
Therefore, the GCF of Fractions 476/21,286/991 is 2/20811
Least Common Multiple of 21,991 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 21,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,991) x common factors =1 x 1 = 1
LCM(21,991) = ( 21 × 991 ) / 1
LCM(21,991) = 20811 / 1
LCM(21,991) = 20811
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FAQs on GCF of Fractions of 476/21, 286/991
1. What is the HCF of 476,286?
The HCF of 476,286 is 2
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 476/21, 286/991?
Answer: GCF of Numerators as per given numbers 476/21, 286/991 is
GCF of Numerators i.e. for 476,286 is 2
LCM of denominators i.e. for 21,991 is 20811.
Thus, GCF of Fractions is 2/20811.Finally, GCF of Fractions for 476/21, 286/991 is 2/20811.