GCF of 2291/406, 3743/7388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2291/406, 3743/7388 i.e 1/1499764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2291/406, 3743/7388.
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 2291/406,3743/7388?
Given fractions are 2291/406,3743/7388
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 2291/406,3743/7388, numerators are 2291,3743
Denominators are 406,7388
The GCF of 2291,3743 is 1 .
LCM of 406,7388 is 1499764.
The greatest common factor of 2291/406,3743/7388 = [GCF of 2291,3743]/[LCM of 406,7388]= 1/1499764
Therefore, the GCF of 2291/406,3743/7388 is 1/1499764.
To find the highest common factor of 2291,3743, we have to find the factors of both numbers and list the highest common factor.
The factors of 2291 are 1, 29, 79, 2291
The factors of 3743 are 1, 19, 197, 3743
The HCF of 2291,3743 is 1.
Lets's calculate GCF of 2291,3743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2291,3743 By Matching Biggest Common Factor Method
Now, list down the factors of 2291
:1,29,79,2291
Now, list down the factors of 3743
:1,19,197,3743
Greatest Common Factor
We found the factors 2291,3743 . The biggest common factor number is the GCF number.
So the greatest common factor 2291,3743 is 1.
Lets's calculate LCM of 406,7388
| 2 | 406, 7388 |
| 203, 3694 |
∴ So the LCM of the given numbers is 2 x 203 x 3694 = 1499764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1499764
Therefore, the GCF of Fractions 2291/406,3743/7388 is 1/1499764
Least Common Multiple of 406,7388 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 406,7388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,7388) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,7388) x common factors =2 x 1 = 2
LCM(406,7388) = ( 406 × 7388 ) / 2
LCM(406,7388) = 2999528 / 2
LCM(406,7388) = 1499764
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FAQs on GCF of Fractions of 2291/406, 3743/7388
1. What is the HCF of 2291,3743?
The HCF of 2291,3743 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 2291/406, 3743/7388?
Answer: GCF of Numerators as per given numbers 2291/406, 3743/7388 is
GCF of Numerators i.e. for 2291,3743 is 1
LCM of denominators i.e. for 406,7388 is 1499764.
Thus, GCF of Fractions is 1/1499764.Finally, GCF of Fractions for 2291/406, 3743/7388 is 1/1499764.