GCF of 1261/638, 2399/4031
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1261/638, 2399/4031 i.e 1/88682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1261/638, 2399/4031.
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 1261/638,2399/4031?
Given fractions are 1261/638,2399/4031
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 1261/638,2399/4031, numerators are 1261,2399
Denominators are 638,4031
The GCF of 1261,2399 is 1 .
LCM of 638,4031 is 88682.
The greatest common factor of 1261/638,2399/4031 = [GCF of 1261,2399]/[LCM of 638,4031]= 1/88682
Therefore, the GCF of 1261/638,2399/4031 is 1/88682.
To find the highest common factor of 1261,2399, we have to find the factors of both numbers and list the highest common factor.
The factors of 1261 are 1, 13, 97, 1261
The factors of 2399 are 1, 2399
The HCF of 1261,2399 is 1.
Lets's calculate GCF of 1261,2399
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1261,2399 By Matching Biggest Common Factor Method
Now, list down the factors of 1261
:1,13,97,1261
Now, list down the factors of 2399
:1,2399
Greatest Common Factor
We found the factors 1261,2399 . The biggest common factor number is the GCF number.
So the greatest common factor 1261,2399 is 1.
Lets's calculate LCM of 638,4031
| 29 | 638, 4031 |
| 22, 139 |
∴ So the LCM of the given numbers is 29 x 22 x 139 = 88682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88682
Therefore, the GCF of Fractions 1261/638,2399/4031 is 1/88682
Least Common Multiple of 638,4031 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 638,4031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,4031) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(638,4031) x common factors =29 x 1 = 29
LCM(638,4031) = ( 638 × 4031 ) / 29
LCM(638,4031) = 2571778 / 29
LCM(638,4031) = 88682
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FAQs on GCF of Fractions of 1261/638, 2399/4031
1. What is the HCF of 1261,2399?
The HCF of 1261,2399 is 1
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 1261/638, 2399/4031?
Answer: GCF of Numerators as per given numbers 1261/638, 2399/4031 is
GCF of Numerators i.e. for 1261,2399 is 1
LCM of denominators i.e. for 638,4031 is 88682.
Thus, GCF of Fractions is 1/88682.Finally, GCF of Fractions for 1261/638, 2399/4031 is 1/88682.