GCF of 9886/538, 5122/1572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9886/538, 5122/1572 i.e 2/422868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9886/538, 5122/1572.
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 9886/538,5122/1572?
Given fractions are 9886/538,5122/1572
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 9886/538,5122/1572, numerators are 9886,5122
Denominators are 538,1572
The GCF of 9886,5122 is 2 .
LCM of 538,1572 is 422868.
The greatest common factor of 9886/538,5122/1572 = [GCF of 9886,5122]/[LCM of 538,1572]= 2/422868
Therefore, the GCF of 9886/538,5122/1572 is 2/422868.
To find the highest common factor of 9886,5122, we have to find the factors of both numbers and list the highest common factor.
The factors of 9886 are 1, 2, 4943, 9886
The factors of 5122 are 1, 2, 13, 26, 197, 394, 2561, 5122
The HCF of 9886,5122 is 2.
Lets's calculate GCF of 9886,5122
| 2 | 9886, 5122 |
| 4943, 2561 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9886,5122 By Matching Biggest Common Factor Method
Now, list down the factors of 9886
:1,2,4943,9886
Now, list down the factors of 5122
:1,2,13,26,197,394,2561,5122
Greatest Common Factor
We found the factors 9886,5122 . The biggest common factor number is the GCF number.
So the greatest common factor 9886,5122 is 2.
Lets's calculate LCM of 538,1572
| 2 | 538, 1572 |
| 269, 786 |
∴ So the LCM of the given numbers is 2 x 269 x 786 = 422868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/422868
Therefore, the GCF of Fractions 9886/538,5122/1572 is 2/422868
Least Common Multiple of 538,1572 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 538,1572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,1572) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,1572) x common factors =2 x 1 = 2
LCM(538,1572) = ( 538 × 1572 ) / 2
LCM(538,1572) = 845736 / 2
LCM(538,1572) = 422868
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9886/538, 5122/1572
1. What is the HCF of 9886,5122?
The HCF of 9886,5122 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 9886/538, 5122/1572?
Answer: GCF of Numerators as per given numbers 9886/538, 5122/1572 is
GCF of Numerators i.e. for 9886,5122 is 2
LCM of denominators i.e. for 538,1572 is 422868.
Thus, GCF of Fractions is 2/422868.Finally, GCF of Fractions for 9886/538, 5122/1572 is 2/422868.