GCF of 5843/236, 9274/305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5843/236, 9274/305 i.e 1/71980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5843/236, 9274/305.
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 5843/236,9274/305?
Given fractions are 5843/236,9274/305
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 5843/236,9274/305, numerators are 5843,9274
Denominators are 236,305
The GCF of 5843,9274 is 1 .
LCM of 236,305 is 71980.
The greatest common factor of 5843/236,9274/305 = [GCF of 5843,9274]/[LCM of 236,305]= 1/71980
Therefore, the GCF of 5843/236,9274/305 is 1/71980.
To find the highest common factor of 5843,9274, we have to find the factors of both numbers and list the highest common factor.
The factors of 5843 are 1, 5843
The factors of 9274 are 1, 2, 4637, 9274
The HCF of 5843,9274 is 1.
Lets's calculate GCF of 5843,9274
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5843,9274 By Matching Biggest Common Factor Method
Now, list down the factors of 5843
:1,5843
Now, list down the factors of 9274
:1,2,4637,9274
Greatest Common Factor
We found the factors 5843,9274 . The biggest common factor number is the GCF number.
So the greatest common factor 5843,9274 is 1.
Lets's calculate LCM of 236,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 71980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71980
Therefore, the GCF of Fractions 5843/236,9274/305 is 1/71980
Least Common Multiple of 236,305 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 236,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,305) x common factors =1 x 1 = 1
LCM(236,305) = ( 236 × 305 ) / 1
LCM(236,305) = 71980 / 1
LCM(236,305) = 71980
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FAQs on GCF of Fractions of 5843/236, 9274/305
1. What is the HCF of 5843,9274?
The HCF of 5843,9274 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 5843/236, 9274/305?
Answer: GCF of Numerators as per given numbers 5843/236, 9274/305 is
GCF of Numerators i.e. for 5843,9274 is 1
LCM of denominators i.e. for 236,305 is 71980.
Thus, GCF of Fractions is 1/71980.Finally, GCF of Fractions for 5843/236, 9274/305 is 1/71980.