GCF of 5031/681, 2881/6046
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5031/681, 2881/6046 i.e 43/4117326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5031/681, 2881/6046.
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 5031/681,2881/6046?
Given fractions are 5031/681,2881/6046
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 5031/681,2881/6046, numerators are 5031,2881
Denominators are 681,6046
The GCF of 5031,2881 is 43 .
LCM of 681,6046 is 4117326.
The greatest common factor of 5031/681,2881/6046 = [GCF of 5031,2881]/[LCM of 681,6046]= 43/4117326
Therefore, the GCF of 5031/681,2881/6046 is 43/4117326.
To find the highest common factor of 5031,2881, we have to find the factors of both numbers and list the highest common factor.
The factors of 5031 are 1, 3, 9, 13, 39, 43, 117, 129, 387, 559, 1677, 5031
The factors of 2881 are 1, 43, 67, 2881
The HCF of 5031,2881 is 43.
Lets's calculate GCF of 5031,2881
| 43 | 5031, 2881 |
| 117, 67 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 5031,2881 By Matching Biggest Common Factor Method
Now, list down the factors of 5031
:1,3,9,13,39,43,117,129,387,559,1677,5031
Now, list down the factors of 2881
:1,43,67,2881
Greatest Common Factor
We found the factors 5031,2881 . The biggest common factor number is the GCF number.
So the greatest common factor 5031,2881 is 43.
Lets's calculate LCM of 681,6046
Given numbers has no common factors except 1. So, there LCM is their product i.e 4117326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/4117326
Therefore, the GCF of Fractions 5031/681,2881/6046 is 43/4117326
Least Common Multiple of 681,6046 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 681,6046 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,6046) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,6046) x common factors =1 x 1 = 1
LCM(681,6046) = ( 681 × 6046 ) / 1
LCM(681,6046) = 4117326 / 1
LCM(681,6046) = 4117326
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FAQs on GCF of Fractions of 5031/681, 2881/6046
1. What is the HCF of 5031,2881?
The HCF of 5031,2881 is 43
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 5031/681, 2881/6046?
Answer: GCF of Numerators as per given numbers 5031/681, 2881/6046 is
GCF of Numerators i.e. for 5031,2881 is 43
LCM of denominators i.e. for 681,6046 is 4117326.
Thus, GCF of Fractions is 43/4117326.Finally, GCF of Fractions for 5031/681, 2881/6046 is 43/4117326.