GCF of 9083/259, 1034/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9083/259, 1034/219 i.e 1/56721 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9083/259, 1034/219.
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 9083/259,1034/219?
Given fractions are 9083/259,1034/219
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 9083/259,1034/219, numerators are 9083,1034
Denominators are 259,219
The GCF of 9083,1034 is 1 .
LCM of 259,219 is 56721.
The greatest common factor of 9083/259,1034/219 = [GCF of 9083,1034]/[LCM of 259,219]= 1/56721
Therefore, the GCF of 9083/259,1034/219 is 1/56721.
To find the highest common factor of 9083,1034, we have to find the factors of both numbers and list the highest common factor.
The factors of 9083 are 1, 31, 293, 9083
The factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034
The HCF of 9083,1034 is 1.
Lets's calculate GCF of 9083,1034
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9083,1034 By Matching Biggest Common Factor Method
Now, list down the factors of 9083
:1,31,293,9083
Now, list down the factors of 1034
:1,2,11,22,47,94,517,1034
Greatest Common Factor
We found the factors 9083,1034 . The biggest common factor number is the GCF number.
So the greatest common factor 9083,1034 is 1.
Lets's calculate LCM of 259,219
Given numbers has no common factors except 1. So, there LCM is their product i.e 56721
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56721
Therefore, the GCF of Fractions 9083/259,1034/219 is 1/56721
Least Common Multiple of 259,219 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 259,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,219) x common factors =1 x 1 = 1
LCM(259,219) = ( 259 × 219 ) / 1
LCM(259,219) = 56721 / 1
LCM(259,219) = 56721
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FAQs on GCF of Fractions of 9083/259, 1034/219
1. What is the HCF of 9083,1034?
The HCF of 9083,1034 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 9083/259, 1034/219?
Answer: GCF of Numerators as per given numbers 9083/259, 1034/219 is
GCF of Numerators i.e. for 9083,1034 is 1
LCM of denominators i.e. for 259,219 is 56721.
Thus, GCF of Fractions is 1/56721.Finally, GCF of Fractions for 9083/259, 1034/219 is 1/56721.