GCF of 9289/610, 2062/231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9289/610, 2062/231 i.e 1/140910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9289/610, 2062/231.
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 9289/610,2062/231?
Given fractions are 9289/610,2062/231
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 9289/610,2062/231, numerators are 9289,2062
Denominators are 610,231
The GCF of 9289,2062 is 1 .
LCM of 610,231 is 140910.
The greatest common factor of 9289/610,2062/231 = [GCF of 9289,2062]/[LCM of 610,231]= 1/140910
Therefore, the GCF of 9289/610,2062/231 is 1/140910.
To find the highest common factor of 9289,2062, we have to find the factors of both numbers and list the highest common factor.
The factors of 9289 are 1, 7, 1327, 9289
The factors of 2062 are 1, 2, 1031, 2062
The HCF of 9289,2062 is 1.
Lets's calculate GCF of 9289,2062
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9289,2062 By Matching Biggest Common Factor Method
Now, list down the factors of 9289
:1,7,1327,9289
Now, list down the factors of 2062
:1,2,1031,2062
Greatest Common Factor
We found the factors 9289,2062 . The biggest common factor number is the GCF number.
So the greatest common factor 9289,2062 is 1.
Lets's calculate LCM of 610,231
Given numbers has no common factors except 1. So, there LCM is their product i.e 140910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140910
Therefore, the GCF of Fractions 9289/610,2062/231 is 1/140910
Least Common Multiple of 610,231 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 610,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(610,231) x common factors =1 x 1 = 1
LCM(610,231) = ( 610 × 231 ) / 1
LCM(610,231) = 140910 / 1
LCM(610,231) = 140910
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FAQs on GCF of Fractions of 9289/610, 2062/231
1. What is the HCF of 9289,2062?
The HCF of 9289,2062 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 9289/610, 2062/231?
Answer: GCF of Numerators as per given numbers 9289/610, 2062/231 is
GCF of Numerators i.e. for 9289,2062 is 1
LCM of denominators i.e. for 610,231 is 140910.
Thus, GCF of Fractions is 1/140910.Finally, GCF of Fractions for 9289/610, 2062/231 is 1/140910.