GCF of 9613/742, 6171/7313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9613/742, 6171/7313 i.e 1/5426246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9613/742, 6171/7313.
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 9613/742,6171/7313?
Given fractions are 9613/742,6171/7313
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 9613/742,6171/7313, numerators are 9613,6171
Denominators are 742,7313
The GCF of 9613,6171 is 1 .
LCM of 742,7313 is 5426246.
The greatest common factor of 9613/742,6171/7313 = [GCF of 9613,6171]/[LCM of 742,7313]= 1/5426246
Therefore, the GCF of 9613/742,6171/7313 is 1/5426246.
To find the highest common factor of 9613,6171, we have to find the factors of both numbers and list the highest common factor.
The factors of 9613 are 1, 9613
The factors of 6171 are 1, 3, 11, 17, 33, 51, 121, 187, 363, 561, 2057, 6171
The HCF of 9613,6171 is 1.
Lets's calculate GCF of 9613,6171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9613,6171 By Matching Biggest Common Factor Method
Now, list down the factors of 9613
:1,9613
Now, list down the factors of 6171
:1,3,11,17,33,51,121,187,363,561,2057,6171
Greatest Common Factor
We found the factors 9613,6171 . The biggest common factor number is the GCF number.
So the greatest common factor 9613,6171 is 1.
Lets's calculate LCM of 742,7313
Given numbers has no common factors except 1. So, there LCM is their product i.e 5426246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5426246
Therefore, the GCF of Fractions 9613/742,6171/7313 is 1/5426246
Least Common Multiple of 742,7313 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 742,7313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,7313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(742,7313) x common factors =1 x 1 = 1
LCM(742,7313) = ( 742 × 7313 ) / 1
LCM(742,7313) = 5426246 / 1
LCM(742,7313) = 5426246
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FAQs on GCF of Fractions of 9613/742, 6171/7313
1. What is the HCF of 9613,6171?
The HCF of 9613,6171 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 9613/742, 6171/7313?
Answer: GCF of Numerators as per given numbers 9613/742, 6171/7313 is
GCF of Numerators i.e. for 9613,6171 is 1
LCM of denominators i.e. for 742,7313 is 5426246.
Thus, GCF of Fractions is 1/5426246.Finally, GCF of Fractions for 9613/742, 6171/7313 is 1/5426246.