GCF of 7494/538, 9777/2558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7494/538, 9777/2558 i.e 3/688102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7494/538, 9777/2558.
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 7494/538,9777/2558?
Given fractions are 7494/538,9777/2558
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 7494/538,9777/2558, numerators are 7494,9777
Denominators are 538,2558
The GCF of 7494,9777 is 3 .
LCM of 538,2558 is 688102.
The greatest common factor of 7494/538,9777/2558 = [GCF of 7494,9777]/[LCM of 538,2558]= 3/688102
Therefore, the GCF of 7494/538,9777/2558 is 3/688102.
To find the highest common factor of 7494,9777, we have to find the factors of both numbers and list the highest common factor.
The factors of 7494 are 1, 2, 3, 6, 1249, 2498, 3747, 7494
The factors of 9777 are 1, 3, 3259, 9777
The HCF of 7494,9777 is 3.
Lets's calculate GCF of 7494,9777
| 3 | 7494, 9777 |
| 2498, 3259 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7494,9777 By Matching Biggest Common Factor Method
Now, list down the factors of 7494
:1,2,3,6,1249,2498,3747,7494
Now, list down the factors of 9777
:1,3,3259,9777
Greatest Common Factor
We found the factors 7494,9777 . The biggest common factor number is the GCF number.
So the greatest common factor 7494,9777 is 3.
Lets's calculate LCM of 538,2558
| 2 | 538, 2558 |
| 269, 1279 |
∴ So the LCM of the given numbers is 2 x 269 x 1279 = 688102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/688102
Therefore, the GCF of Fractions 7494/538,9777/2558 is 3/688102
Least Common Multiple of 538,2558 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 538,2558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,2558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,2558) x common factors =2 x 1 = 2
LCM(538,2558) = ( 538 × 2558 ) / 2
LCM(538,2558) = 1376204 / 2
LCM(538,2558) = 688102
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FAQs on GCF of Fractions of 7494/538, 9777/2558
1. What is the HCF of 7494,9777?
The HCF of 7494,9777 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 7494/538, 9777/2558?
Answer: GCF of Numerators as per given numbers 7494/538, 9777/2558 is
GCF of Numerators i.e. for 7494,9777 is 3
LCM of denominators i.e. for 538,2558 is 688102.
Thus, GCF of Fractions is 3/688102.Finally, GCF of Fractions for 7494/538, 9777/2558 is 3/688102.