GCF of 7367/788, 9770/613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7367/788, 9770/613 i.e 1/483044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7367/788, 9770/613.
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 7367/788,9770/613?
Given fractions are 7367/788,9770/613
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 7367/788,9770/613, numerators are 7367,9770
Denominators are 788,613
The GCF of 7367,9770 is 1 .
LCM of 788,613 is 483044.
The greatest common factor of 7367/788,9770/613 = [GCF of 7367,9770]/[LCM of 788,613]= 1/483044
Therefore, the GCF of 7367/788,9770/613 is 1/483044.
To find the highest common factor of 7367,9770, we have to find the factors of both numbers and list the highest common factor.
The factors of 7367 are 1, 53, 139, 7367
The factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770
The HCF of 7367,9770 is 1.
Lets's calculate GCF of 7367,9770
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7367,9770 By Matching Biggest Common Factor Method
Now, list down the factors of 7367
:1,53,139,7367
Now, list down the factors of 9770
:1,2,5,10,977,1954,4885,9770
Greatest Common Factor
We found the factors 7367,9770 . The biggest common factor number is the GCF number.
So the greatest common factor 7367,9770 is 1.
Lets's calculate LCM of 788,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 483044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/483044
Therefore, the GCF of Fractions 7367/788,9770/613 is 1/483044
Least Common Multiple of 788,613 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 788,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,613) x common factors =1 x 1 = 1
LCM(788,613) = ( 788 × 613 ) / 1
LCM(788,613) = 483044 / 1
LCM(788,613) = 483044
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FAQs on GCF of Fractions of 7367/788, 9770/613
1. What is the HCF of 7367,9770?
The HCF of 7367,9770 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 7367/788, 9770/613?
Answer: GCF of Numerators as per given numbers 7367/788, 9770/613 is
GCF of Numerators i.e. for 7367,9770 is 1
LCM of denominators i.e. for 788,613 is 483044.
Thus, GCF of Fractions is 1/483044.Finally, GCF of Fractions for 7367/788, 9770/613 is 1/483044.