GCF of 5518/627, 8866/4825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5518/627, 8866/4825 i.e 62/3025275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5518/627, 8866/4825.
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 5518/627,8866/4825?
Given fractions are 5518/627,8866/4825
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 5518/627,8866/4825, numerators are 5518,8866
Denominators are 627,4825
The GCF of 5518,8866 is 62 .
LCM of 627,4825 is 3025275.
The greatest common factor of 5518/627,8866/4825 = [GCF of 5518,8866]/[LCM of 627,4825]= 62/3025275
Therefore, the GCF of 5518/627,8866/4825 is 62/3025275.
To find the highest common factor of 5518,8866, we have to find the factors of both numbers and list the highest common factor.
The factors of 5518 are 1, 2, 31, 62, 89, 178, 2759, 5518
The factors of 8866 are 1, 2, 11, 13, 22, 26, 31, 62, 143, 286, 341, 403, 682, 806, 4433, 8866
The HCF of 5518,8866 is 62.
Lets's calculate GCF of 5518,8866
| 2 | 5518, 8866 |
| 31 | 2759, 4433 |
| 89, 143 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Greatest Common Factor of 5518,8866 By Matching Biggest Common Factor Method
Now, list down the factors of 5518
:1,2,31,62,89,178,2759,5518
Now, list down the factors of 8866
:1,2,11,13,22,26,31,62,143,286,341,403,682,806,4433,8866
Greatest Common Factor
We found the factors 5518,8866 . The biggest common factor number is the GCF number.
So the greatest common factor 5518,8866 is 62.
Lets's calculate LCM of 627,4825
Given numbers has no common factors except 1. So, there LCM is their product i.e 3025275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/3025275
Therefore, the GCF of Fractions 5518/627,8866/4825 is 62/3025275
Least Common Multiple of 627,4825 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 627,4825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,4825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,4825) x common factors =1 x 1 = 1
LCM(627,4825) = ( 627 × 4825 ) / 1
LCM(627,4825) = 3025275 / 1
LCM(627,4825) = 3025275
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FAQs on GCF of Fractions of 5518/627, 8866/4825
1. What is the HCF of 5518,8866?
The HCF of 5518,8866 is 62
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 5518/627, 8866/4825?
Answer: GCF of Numerators as per given numbers 5518/627, 8866/4825 is
GCF of Numerators i.e. for 5518,8866 is 62
LCM of denominators i.e. for 627,4825 is 3025275.
Thus, GCF of Fractions is 62/3025275.Finally, GCF of Fractions for 5518/627, 8866/4825 is 62/3025275.