GCF of 7474/587, 9798/771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7474/587, 9798/771 i.e 2/452577 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7474/587, 9798/771.
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 7474/587,9798/771?
Given fractions are 7474/587,9798/771
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 7474/587,9798/771, numerators are 7474,9798
Denominators are 587,771
The GCF of 7474,9798 is 2 .
LCM of 587,771 is 452577.
The greatest common factor of 7474/587,9798/771 = [GCF of 7474,9798]/[LCM of 587,771]= 2/452577
Therefore, the GCF of 7474/587,9798/771 is 2/452577.
To find the highest common factor of 7474,9798, we have to find the factors of both numbers and list the highest common factor.
The factors of 7474 are 1, 2, 37, 74, 101, 202, 3737, 7474
The factors of 9798 are 1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899, 9798
The HCF of 7474,9798 is 2.
Lets's calculate GCF of 7474,9798
| 2 | 7474, 9798 |
| 3737, 4899 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7474,9798 By Matching Biggest Common Factor Method
Now, list down the factors of 7474
:1,2,37,74,101,202,3737,7474
Now, list down the factors of 9798
:1,2,3,6,23,46,69,71,138,142,213,426,1633,3266,4899,9798
Greatest Common Factor
We found the factors 7474,9798 . The biggest common factor number is the GCF number.
So the greatest common factor 7474,9798 is 2.
Lets's calculate LCM of 587,771
Given numbers has no common factors except 1. So, there LCM is their product i.e 452577
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/452577
Therefore, the GCF of Fractions 7474/587,9798/771 is 2/452577
Least Common Multiple of 587,771 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 587,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,771) x common factors =1 x 1 = 1
LCM(587,771) = ( 587 × 771 ) / 1
LCM(587,771) = 452577 / 1
LCM(587,771) = 452577
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FAQs on GCF of Fractions of 7474/587, 9798/771
1. What is the HCF of 7474,9798?
The HCF of 7474,9798 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 7474/587, 9798/771?
Answer: GCF of Numerators as per given numbers 7474/587, 9798/771 is
GCF of Numerators i.e. for 7474,9798 is 2
LCM of denominators i.e. for 587,771 is 452577.
Thus, GCF of Fractions is 2/452577.Finally, GCF of Fractions for 7474/587, 9798/771 is 2/452577.