GCF of 4977/469, 9891/559
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4977/469, 9891/559 i.e 63/262171 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4977/469, 9891/559.
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 4977/469,9891/559?
Given fractions are 4977/469,9891/559
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 4977/469,9891/559, numerators are 4977,9891
Denominators are 469,559
The GCF of 4977,9891 is 63 .
LCM of 469,559 is 262171.
The greatest common factor of 4977/469,9891/559 = [GCF of 4977,9891]/[LCM of 469,559]= 63/262171
Therefore, the GCF of 4977/469,9891/559 is 63/262171.
To find the highest common factor of 4977,9891, we have to find the factors of both numbers and list the highest common factor.
The factors of 4977 are 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977
The factors of 9891 are 1, 3, 7, 9, 21, 63, 157, 471, 1099, 1413, 3297, 9891
The HCF of 4977,9891 is 63.
Lets's calculate GCF of 4977,9891
| 3 | 4977, 9891 |
| 3 | 1659, 3297 |
| 7 | 553, 1099 |
| 79, 157 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Greatest Common Factor of 4977,9891 By Matching Biggest Common Factor Method
Now, list down the factors of 4977
:1,3,7,9,21,63,79,237,553,711,1659,4977
Now, list down the factors of 9891
:1,3,7,9,21,63,157,471,1099,1413,3297,9891
Greatest Common Factor
We found the factors 4977,9891 . The biggest common factor number is the GCF number.
So the greatest common factor 4977,9891 is 63.
Lets's calculate LCM of 469,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 262171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/262171
Therefore, the GCF of Fractions 4977/469,9891/559 is 63/262171
Least Common Multiple of 469,559 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 469,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,559) x common factors =1 x 1 = 1
LCM(469,559) = ( 469 × 559 ) / 1
LCM(469,559) = 262171 / 1
LCM(469,559) = 262171
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FAQs on GCF of Fractions of 4977/469, 9891/559
1. What is the HCF of 4977,9891?
The HCF of 4977,9891 is 63
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 4977/469, 9891/559?
Answer: GCF of Numerators as per given numbers 4977/469, 9891/559 is
GCF of Numerators i.e. for 4977,9891 is 63
LCM of denominators i.e. for 469,559 is 262171.
Thus, GCF of Fractions is 63/262171.Finally, GCF of Fractions for 4977/469, 9891/559 is 63/262171.