GCF of 2942/274, 9359/5684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2942/274, 9359/5684 i.e 1/778708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2942/274, 9359/5684.
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 2942/274,9359/5684?
Given fractions are 2942/274,9359/5684
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 2942/274,9359/5684, numerators are 2942,9359
Denominators are 274,5684
The GCF of 2942,9359 is 1 .
LCM of 274,5684 is 778708.
The greatest common factor of 2942/274,9359/5684 = [GCF of 2942,9359]/[LCM of 274,5684]= 1/778708
Therefore, the GCF of 2942/274,9359/5684 is 1/778708.
To find the highest common factor of 2942,9359, we have to find the factors of both numbers and list the highest common factor.
The factors of 2942 are 1, 2, 1471, 2942
The factors of 9359 are 1, 7, 49, 191, 1337, 9359
The HCF of 2942,9359 is 1.
Lets's calculate GCF of 2942,9359
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2942,9359 By Matching Biggest Common Factor Method
Now, list down the factors of 2942
:1,2,1471,2942
Now, list down the factors of 9359
:1,7,49,191,1337,9359
Greatest Common Factor
We found the factors 2942,9359 . The biggest common factor number is the GCF number.
So the greatest common factor 2942,9359 is 1.
Lets's calculate LCM of 274,5684
| 2 | 274, 5684 |
| 137, 2842 |
∴ So the LCM of the given numbers is 2 x 137 x 2842 = 778708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/778708
Therefore, the GCF of Fractions 2942/274,9359/5684 is 1/778708
Least Common Multiple of 274,5684 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 274,5684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,5684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,5684) x common factors =2 x 1 = 2
LCM(274,5684) = ( 274 × 5684 ) / 2
LCM(274,5684) = 1557416 / 2
LCM(274,5684) = 778708
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FAQs on GCF of Fractions of 2942/274, 9359/5684
1. What is the HCF of 2942,9359?
The HCF of 2942,9359 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 2942/274, 9359/5684?
Answer: GCF of Numerators as per given numbers 2942/274, 9359/5684 is
GCF of Numerators i.e. for 2942,9359 is 1
LCM of denominators i.e. for 274,5684 is 778708.
Thus, GCF of Fractions is 1/778708.Finally, GCF of Fractions for 2942/274, 9359/5684 is 1/778708.