GCF of 9441/853, 6953/9391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9441/853, 6953/9391 i.e 1/8010523 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9441/853, 6953/9391.
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 9441/853,6953/9391?
Given fractions are 9441/853,6953/9391
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 9441/853,6953/9391, numerators are 9441,6953
Denominators are 853,9391
The GCF of 9441,6953 is 1 .
LCM of 853,9391 is 8010523.
The greatest common factor of 9441/853,6953/9391 = [GCF of 9441,6953]/[LCM of 853,9391]= 1/8010523
Therefore, the GCF of 9441/853,6953/9391 is 1/8010523.
To find the highest common factor of 9441,6953, we have to find the factors of both numbers and list the highest common factor.
The factors of 9441 are 1, 3, 9, 1049, 3147, 9441
The factors of 6953 are 1, 17, 409, 6953
The HCF of 9441,6953 is 1.
Lets's calculate GCF of 9441,6953
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9441,6953 By Matching Biggest Common Factor Method
Now, list down the factors of 9441
:1,3,9,1049,3147,9441
Now, list down the factors of 6953
:1,17,409,6953
Greatest Common Factor
We found the factors 9441,6953 . The biggest common factor number is the GCF number.
So the greatest common factor 9441,6953 is 1.
Lets's calculate LCM of 853,9391
Given numbers has no common factors except 1. So, there LCM is their product i.e 8010523
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8010523
Therefore, the GCF of Fractions 9441/853,6953/9391 is 1/8010523
Least Common Multiple of 853,9391 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 853,9391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,9391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,9391) x common factors =1 x 1 = 1
LCM(853,9391) = ( 853 × 9391 ) / 1
LCM(853,9391) = 8010523 / 1
LCM(853,9391) = 8010523
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FAQs on GCF of Fractions of 9441/853, 6953/9391
1. What is the HCF of 9441,6953?
The HCF of 9441,6953 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 9441/853, 6953/9391?
Answer: GCF of Numerators as per given numbers 9441/853, 6953/9391 is
GCF of Numerators i.e. for 9441,6953 is 1
LCM of denominators i.e. for 853,9391 is 8010523.
Thus, GCF of Fractions is 1/8010523.Finally, GCF of Fractions for 9441/853, 6953/9391 is 1/8010523.