GCF of 4988/518, 7685/3484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4988/518, 7685/3484 i.e 29/902356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4988/518, 7685/3484.
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 4988/518,7685/3484?
Given fractions are 4988/518,7685/3484
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 4988/518,7685/3484, numerators are 4988,7685
Denominators are 518,3484
The GCF of 4988,7685 is 29 .
LCM of 518,3484 is 902356.
The greatest common factor of 4988/518,7685/3484 = [GCF of 4988,7685]/[LCM of 518,3484]= 29/902356
Therefore, the GCF of 4988/518,7685/3484 is 29/902356.
To find the highest common factor of 4988,7685, we have to find the factors of both numbers and list the highest common factor.
The factors of 4988 are 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494, 4988
The factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685
The HCF of 4988,7685 is 29.
Lets's calculate GCF of 4988,7685
| 29 | 4988, 7685 |
| 172, 265 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 4988,7685 By Matching Biggest Common Factor Method
Now, list down the factors of 4988
:1,2,4,29,43,58,86,116,172,1247,2494,4988
Now, list down the factors of 7685
:1,5,29,53,145,265,1537,7685
Greatest Common Factor
We found the factors 4988,7685 . The biggest common factor number is the GCF number.
So the greatest common factor 4988,7685 is 29.
Lets's calculate LCM of 518,3484
| 2 | 518, 3484 |
| 259, 1742 |
∴ So the LCM of the given numbers is 2 x 259 x 1742 = 902356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/902356
Therefore, the GCF of Fractions 4988/518,7685/3484 is 29/902356
Least Common Multiple of 518,3484 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 518,3484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,3484) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(518,3484) x common factors =2 x 1 = 2
LCM(518,3484) = ( 518 × 3484 ) / 2
LCM(518,3484) = 1804712 / 2
LCM(518,3484) = 902356
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FAQs on GCF of Fractions of 4988/518, 7685/3484
1. What is the HCF of 4988,7685?
The HCF of 4988,7685 is 29
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 4988/518, 7685/3484?
Answer: GCF of Numerators as per given numbers 4988/518, 7685/3484 is
GCF of Numerators i.e. for 4988,7685 is 29
LCM of denominators i.e. for 518,3484 is 902356.
Thus, GCF of Fractions is 29/902356.Finally, GCF of Fractions for 4988/518, 7685/3484 is 29/902356.