GCF of 7843/339, 2942/6638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7843/339, 2942/6638 i.e 1/2250282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7843/339, 2942/6638.
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 7843/339,2942/6638?
Given fractions are 7843/339,2942/6638
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 7843/339,2942/6638, numerators are 7843,2942
Denominators are 339,6638
The GCF of 7843,2942 is 1 .
LCM of 339,6638 is 2250282.
The greatest common factor of 7843/339,2942/6638 = [GCF of 7843,2942]/[LCM of 339,6638]= 1/2250282
Therefore, the GCF of 7843/339,2942/6638 is 1/2250282.
To find the highest common factor of 7843,2942, we have to find the factors of both numbers and list the highest common factor.
The factors of 7843 are 1, 11, 23, 31, 253, 341, 713, 7843
The factors of 2942 are 1, 2, 1471, 2942
The HCF of 7843,2942 is 1.
Lets's calculate GCF of 7843,2942
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7843,2942 By Matching Biggest Common Factor Method
Now, list down the factors of 7843
:1,11,23,31,253,341,713,7843
Now, list down the factors of 2942
:1,2,1471,2942
Greatest Common Factor
We found the factors 7843,2942 . The biggest common factor number is the GCF number.
So the greatest common factor 7843,2942 is 1.
Lets's calculate LCM of 339,6638
Given numbers has no common factors except 1. So, there LCM is their product i.e 2250282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2250282
Therefore, the GCF of Fractions 7843/339,2942/6638 is 1/2250282
Least Common Multiple of 339,6638 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 339,6638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,6638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,6638) x common factors =1 x 1 = 1
LCM(339,6638) = ( 339 × 6638 ) / 1
LCM(339,6638) = 2250282 / 1
LCM(339,6638) = 2250282
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FAQs on GCF of Fractions of 7843/339, 2942/6638
1. What is the HCF of 7843,2942?
The HCF of 7843,2942 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 7843/339, 2942/6638?
Answer: GCF of Numerators as per given numbers 7843/339, 2942/6638 is
GCF of Numerators i.e. for 7843,2942 is 1
LCM of denominators i.e. for 339,6638 is 2250282.
Thus, GCF of Fractions is 1/2250282.Finally, GCF of Fractions for 7843/339, 2942/6638 is 1/2250282.