GCF of 9674/575, 9227/7071
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9674/575, 9227/7071 i.e 1/4065825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9674/575, 9227/7071.
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 9674/575,9227/7071?
Given fractions are 9674/575,9227/7071
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 9674/575,9227/7071, numerators are 9674,9227
Denominators are 575,7071
The GCF of 9674,9227 is 1 .
LCM of 575,7071 is 4065825.
The greatest common factor of 9674/575,9227/7071 = [GCF of 9674,9227]/[LCM of 575,7071]= 1/4065825
Therefore, the GCF of 9674/575,9227/7071 is 1/4065825.
To find the highest common factor of 9674,9227, we have to find the factors of both numbers and list the highest common factor.
The factors of 9674 are 1, 2, 7, 14, 691, 1382, 4837, 9674
The factors of 9227 are 1, 9227
The HCF of 9674,9227 is 1.
Lets's calculate GCF of 9674,9227
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9674,9227 By Matching Biggest Common Factor Method
Now, list down the factors of 9674
:1,2,7,14,691,1382,4837,9674
Now, list down the factors of 9227
:1,9227
Greatest Common Factor
We found the factors 9674,9227 . The biggest common factor number is the GCF number.
So the greatest common factor 9674,9227 is 1.
Lets's calculate LCM of 575,7071
Given numbers has no common factors except 1. So, there LCM is their product i.e 4065825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4065825
Therefore, the GCF of Fractions 9674/575,9227/7071 is 1/4065825
Least Common Multiple of 575,7071 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 575,7071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,7071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,7071) x common factors =1 x 1 = 1
LCM(575,7071) = ( 575 × 7071 ) / 1
LCM(575,7071) = 4065825 / 1
LCM(575,7071) = 4065825
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FAQs on GCF of Fractions of 9674/575, 9227/7071
1. What is the HCF of 9674,9227?
The HCF of 9674,9227 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 9674/575, 9227/7071?
Answer: GCF of Numerators as per given numbers 9674/575, 9227/7071 is
GCF of Numerators i.e. for 9674,9227 is 1
LCM of denominators i.e. for 575,7071 is 4065825.
Thus, GCF of Fractions is 1/4065825.Finally, GCF of Fractions for 9674/575, 9227/7071 is 1/4065825.