GCF of 5795/153, 9141/3397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5795/153, 9141/3397 i.e 1/519741 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5795/153, 9141/3397.
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 5795/153,9141/3397?
Given fractions are 5795/153,9141/3397
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 5795/153,9141/3397, numerators are 5795,9141
Denominators are 153,3397
The GCF of 5795,9141 is 1 .
LCM of 153,3397 is 519741.
The greatest common factor of 5795/153,9141/3397 = [GCF of 5795,9141]/[LCM of 153,3397]= 1/519741
Therefore, the GCF of 5795/153,9141/3397 is 1/519741.
To find the highest common factor of 5795,9141, we have to find the factors of both numbers and list the highest common factor.
The factors of 5795 are 1, 5, 19, 61, 95, 305, 1159, 5795
The factors of 9141 are 1, 3, 11, 33, 277, 831, 3047, 9141
The HCF of 5795,9141 is 1.
Lets's calculate GCF of 5795,9141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5795,9141 By Matching Biggest Common Factor Method
Now, list down the factors of 5795
:1,5,19,61,95,305,1159,5795
Now, list down the factors of 9141
:1,3,11,33,277,831,3047,9141
Greatest Common Factor
We found the factors 5795,9141 . The biggest common factor number is the GCF number.
So the greatest common factor 5795,9141 is 1.
Lets's calculate LCM of 153,3397
Given numbers has no common factors except 1. So, there LCM is their product i.e 519741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/519741
Therefore, the GCF of Fractions 5795/153,9141/3397 is 1/519741
Least Common Multiple of 153,3397 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 153,3397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,3397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,3397) x common factors =1 x 1 = 1
LCM(153,3397) = ( 153 × 3397 ) / 1
LCM(153,3397) = 519741 / 1
LCM(153,3397) = 519741
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FAQs on GCF of Fractions of 5795/153, 9141/3397
1. What is the HCF of 5795,9141?
The HCF of 5795,9141 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 5795/153, 9141/3397?
Answer: GCF of Numerators as per given numbers 5795/153, 9141/3397 is
GCF of Numerators i.e. for 5795,9141 is 1
LCM of denominators i.e. for 153,3397 is 519741.
Thus, GCF of Fractions is 1/519741.Finally, GCF of Fractions for 5795/153, 9141/3397 is 1/519741.