GCF of 1063/185, 8538/9141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1063/185, 8538/9141 i.e 1/1691085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1063/185, 8538/9141.
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 1063/185,8538/9141?
Given fractions are 1063/185,8538/9141
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 1063/185,8538/9141, numerators are 1063,8538
Denominators are 185,9141
The GCF of 1063,8538 is 1 .
LCM of 185,9141 is 1691085.
The greatest common factor of 1063/185,8538/9141 = [GCF of 1063,8538]/[LCM of 185,9141]= 1/1691085
Therefore, the GCF of 1063/185,8538/9141 is 1/1691085.
To find the highest common factor of 1063,8538, we have to find the factors of both numbers and list the highest common factor.
The factors of 1063 are 1, 1063
The factors of 8538 are 1, 2, 3, 6, 1423, 2846, 4269, 8538
The HCF of 1063,8538 is 1.
Lets's calculate GCF of 1063,8538
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1063,8538 By Matching Biggest Common Factor Method
Now, list down the factors of 1063
:1,1063
Now, list down the factors of 8538
:1,2,3,6,1423,2846,4269,8538
Greatest Common Factor
We found the factors 1063,8538 . The biggest common factor number is the GCF number.
So the greatest common factor 1063,8538 is 1.
Lets's calculate LCM of 185,9141
Given numbers has no common factors except 1. So, there LCM is their product i.e 1691085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1691085
Therefore, the GCF of Fractions 1063/185,8538/9141 is 1/1691085
Least Common Multiple of 185,9141 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 185,9141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,9141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,9141) x common factors =1 x 1 = 1
LCM(185,9141) = ( 185 × 9141 ) / 1
LCM(185,9141) = 1691085 / 1
LCM(185,9141) = 1691085
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FAQs on GCF of Fractions of 1063/185, 8538/9141
1. What is the HCF of 1063,8538?
The HCF of 1063,8538 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 1063/185, 8538/9141?
Answer: GCF of Numerators as per given numbers 1063/185, 8538/9141 is
GCF of Numerators i.e. for 1063,8538 is 1
LCM of denominators i.e. for 185,9141 is 1691085.
Thus, GCF of Fractions is 1/1691085.Finally, GCF of Fractions for 1063/185, 8538/9141 is 1/1691085.