GCF of 237/27, 848/7435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 237/27, 848/7435 i.e 1/200745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 237/27, 848/7435.
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 237/27,848/7435?
Given fractions are 237/27,848/7435
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 237/27,848/7435, numerators are 237,848
Denominators are 27,7435
The GCF of 237,848 is 1 .
LCM of 27,7435 is 200745.
The greatest common factor of 237/27,848/7435 = [GCF of 237,848]/[LCM of 27,7435]= 1/200745
Therefore, the GCF of 237/27,848/7435 is 1/200745.
To find the highest common factor of 237,848, we have to find the factors of both numbers and list the highest common factor.
The factors of 237 are 1, 3, 79, 237
The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
The HCF of 237,848 is 1.
Lets's calculate GCF of 237,848
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 237,848 By Matching Biggest Common Factor Method
Now, list down the factors of 237
:1,3,79,237
Now, list down the factors of 848
:1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 237,848 . The biggest common factor number is the GCF number.
So the greatest common factor 237,848 is 1.
Lets's calculate LCM of 27,7435
Given numbers has no common factors except 1. So, there LCM is their product i.e 200745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200745
Therefore, the GCF of Fractions 237/27,848/7435 is 1/200745
Least Common Multiple of 27,7435 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 27,7435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,7435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,7435) x common factors =1 x 1 = 1
LCM(27,7435) = ( 27 × 7435 ) / 1
LCM(27,7435) = 200745 / 1
LCM(27,7435) = 200745
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FAQs on GCF of Fractions of 237/27, 848/7435
1. What is the HCF of 237,848?
The HCF of 237,848 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 237/27, 848/7435?
Answer: GCF of Numerators as per given numbers 237/27, 848/7435 is
GCF of Numerators i.e. for 237,848 is 1
LCM of denominators i.e. for 27,7435 is 200745.
Thus, GCF of Fractions is 1/200745.Finally, GCF of Fractions for 237/27, 848/7435 is 1/200745.