GCF of 4977/636, 8823/5032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4977/636, 8823/5032 i.e 3/800088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4977/636, 8823/5032.
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 4977/636,8823/5032?
Given fractions are 4977/636,8823/5032
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 4977/636,8823/5032, numerators are 4977,8823
Denominators are 636,5032
The GCF of 4977,8823 is 3 .
LCM of 636,5032 is 800088.
The greatest common factor of 4977/636,8823/5032 = [GCF of 4977,8823]/[LCM of 636,5032]= 3/800088
Therefore, the GCF of 4977/636,8823/5032 is 3/800088.
To find the highest common factor of 4977,8823, 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 8823 are 1, 3, 17, 51, 173, 519, 2941, 8823
The HCF of 4977,8823 is 3.
Lets's calculate GCF of 4977,8823
| 3 | 4977, 8823 |
| 1659, 2941 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4977,8823 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 8823
:1,3,17,51,173,519,2941,8823
Greatest Common Factor
We found the factors 4977,8823 . The biggest common factor number is the GCF number.
So the greatest common factor 4977,8823 is 3.
Lets's calculate LCM of 636,5032
| 2 | 636, 5032 |
| 2 | 318, 2516 |
| 159, 1258 |
∴ So the LCM of the given numbers is 2 x 2 x 159 x 1258 = 800088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/800088
Therefore, the GCF of Fractions 4977/636,8823/5032 is 3/800088
Least Common Multiple of 636,5032 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 636,5032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,5032) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(636,5032) x common factors =4 x 1 = 4
LCM(636,5032) = ( 636 × 5032 ) / 4
LCM(636,5032) = 3200352 / 4
LCM(636,5032) = 800088
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FAQs on GCF of Fractions of 4977/636, 8823/5032
1. What is the HCF of 4977,8823?
The HCF of 4977,8823 is 3
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 4977/636, 8823/5032?
Answer: GCF of Numerators as per given numbers 4977/636, 8823/5032 is
GCF of Numerators i.e. for 4977,8823 is 3
LCM of denominators i.e. for 636,5032 is 800088.
Thus, GCF of Fractions is 3/800088.Finally, GCF of Fractions for 4977/636, 8823/5032 is 3/800088.