GCF of 7417/141, 5755/8238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7417/141, 5755/8238 i.e 1/387186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7417/141, 5755/8238.
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 7417/141,5755/8238?
Given fractions are 7417/141,5755/8238
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 7417/141,5755/8238, numerators are 7417,5755
Denominators are 141,8238
The GCF of 7417,5755 is 1 .
LCM of 141,8238 is 387186.
The greatest common factor of 7417/141,5755/8238 = [GCF of 7417,5755]/[LCM of 141,8238]= 1/387186
Therefore, the GCF of 7417/141,5755/8238 is 1/387186.
To find the highest common factor of 7417,5755, we have to find the factors of both numbers and list the highest common factor.
The factors of 7417 are 1, 7417
The factors of 5755 are 1, 5, 1151, 5755
The HCF of 7417,5755 is 1.
Lets's calculate GCF of 7417,5755
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7417,5755 By Matching Biggest Common Factor Method
Now, list down the factors of 7417
:1,7417
Now, list down the factors of 5755
:1,5,1151,5755
Greatest Common Factor
We found the factors 7417,5755 . The biggest common factor number is the GCF number.
So the greatest common factor 7417,5755 is 1.
Lets's calculate LCM of 141,8238
| 3 | 141, 8238 |
| 47, 2746 |
∴ So the LCM of the given numbers is 3 x 47 x 2746 = 387186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387186
Therefore, the GCF of Fractions 7417/141,5755/8238 is 1/387186
Least Common Multiple of 141,8238 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 141,8238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,8238) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(141,8238) x common factors =3 x 1 = 3
LCM(141,8238) = ( 141 × 8238 ) / 3
LCM(141,8238) = 1161558 / 3
LCM(141,8238) = 387186
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FAQs on GCF of Fractions of 7417/141, 5755/8238
1. What is the HCF of 7417,5755?
The HCF of 7417,5755 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 7417/141, 5755/8238?
Answer: GCF of Numerators as per given numbers 7417/141, 5755/8238 is
GCF of Numerators i.e. for 7417,5755 is 1
LCM of denominators i.e. for 141,8238 is 387186.
Thus, GCF of Fractions is 1/387186.Finally, GCF of Fractions for 7417/141, 5755/8238 is 1/387186.