GCF of 2327/998, 3049/5138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2327/998, 3049/5138 i.e 1/2563862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2327/998, 3049/5138.
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 2327/998,3049/5138?
Given fractions are 2327/998,3049/5138
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 2327/998,3049/5138, numerators are 2327,3049
Denominators are 998,5138
The GCF of 2327,3049 is 1 .
LCM of 998,5138 is 2563862.
The greatest common factor of 2327/998,3049/5138 = [GCF of 2327,3049]/[LCM of 998,5138]= 1/2563862
Therefore, the GCF of 2327/998,3049/5138 is 1/2563862.
To find the highest common factor of 2327,3049, we have to find the factors of both numbers and list the highest common factor.
The factors of 2327 are 1, 13, 179, 2327
The factors of 3049 are 1, 3049
The HCF of 2327,3049 is 1.
Lets's calculate GCF of 2327,3049
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2327,3049 By Matching Biggest Common Factor Method
Now, list down the factors of 2327
:1,13,179,2327
Now, list down the factors of 3049
:1,3049
Greatest Common Factor
We found the factors 2327,3049 . The biggest common factor number is the GCF number.
So the greatest common factor 2327,3049 is 1.
Lets's calculate LCM of 998,5138
| 2 | 998, 5138 |
| 499, 2569 |
∴ So the LCM of the given numbers is 2 x 499 x 2569 = 2563862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2563862
Therefore, the GCF of Fractions 2327/998,3049/5138 is 1/2563862
Least Common Multiple of 998,5138 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 998,5138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,5138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,5138) x common factors =2 x 1 = 2
LCM(998,5138) = ( 998 × 5138 ) / 2
LCM(998,5138) = 5127724 / 2
LCM(998,5138) = 2563862
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FAQs on GCF of Fractions of 2327/998, 3049/5138
1. What is the HCF of 2327,3049?
The HCF of 2327,3049 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 2327/998, 3049/5138?
Answer: GCF of Numerators as per given numbers 2327/998, 3049/5138 is
GCF of Numerators i.e. for 2327,3049 is 1
LCM of denominators i.e. for 998,5138 is 2563862.
Thus, GCF of Fractions is 1/2563862.Finally, GCF of Fractions for 2327/998, 3049/5138 is 1/2563862.