GCF of 5017/637, 2146/4875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5017/637, 2146/4875 i.e 29/238875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5017/637, 2146/4875.
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 5017/637,2146/4875?
Given fractions are 5017/637,2146/4875
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 5017/637,2146/4875, numerators are 5017,2146
Denominators are 637,4875
The GCF of 5017,2146 is 29 .
LCM of 637,4875 is 238875.
The greatest common factor of 5017/637,2146/4875 = [GCF of 5017,2146]/[LCM of 637,4875]= 29/238875
Therefore, the GCF of 5017/637,2146/4875 is 29/238875.
To find the highest common factor of 5017,2146, we have to find the factors of both numbers and list the highest common factor.
The factors of 5017 are 1, 29, 173, 5017
The factors of 2146 are 1, 2, 29, 37, 58, 74, 1073, 2146
The HCF of 5017,2146 is 29.
Lets's calculate GCF of 5017,2146
| 29 | 5017, 2146 |
| 173, 74 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 5017,2146 By Matching Biggest Common Factor Method
Now, list down the factors of 5017
:1,29,173,5017
Now, list down the factors of 2146
:1,2,29,37,58,74,1073,2146
Greatest Common Factor
We found the factors 5017,2146 . The biggest common factor number is the GCF number.
So the greatest common factor 5017,2146 is 29.
Lets's calculate LCM of 637,4875
| 13 | 637, 4875 |
| 49, 375 |
∴ So the LCM of the given numbers is 13 x 49 x 375 = 238875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/238875
Therefore, the GCF of Fractions 5017/637,2146/4875 is 29/238875
Least Common Multiple of 637,4875 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 637,4875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,4875) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(637,4875) x common factors =13 x 1 = 13
LCM(637,4875) = ( 637 × 4875 ) / 13
LCM(637,4875) = 3105375 / 13
LCM(637,4875) = 238875
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FAQs on GCF of Fractions of 5017/637, 2146/4875
1. What is the HCF of 5017,2146?
The HCF of 5017,2146 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 5017/637, 2146/4875?
Answer: GCF of Numerators as per given numbers 5017/637, 2146/4875 is
GCF of Numerators i.e. for 5017,2146 is 29
LCM of denominators i.e. for 637,4875 is 238875.
Thus, GCF of Fractions is 29/238875.Finally, GCF of Fractions for 5017/637, 2146/4875 is 29/238875.