GCF of 1240/788, 9327/511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1240/788, 9327/511 i.e 1/402668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1240/788, 9327/511.
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 1240/788,9327/511?
Given fractions are 1240/788,9327/511
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 1240/788,9327/511, numerators are 1240,9327
Denominators are 788,511
The GCF of 1240,9327 is 1 .
LCM of 788,511 is 402668.
The greatest common factor of 1240/788,9327/511 = [GCF of 1240,9327]/[LCM of 788,511]= 1/402668
Therefore, the GCF of 1240/788,9327/511 is 1/402668.
To find the highest common factor of 1240,9327, we have to find the factors of both numbers and list the highest common factor.
The factors of 1240 are 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240
The factors of 9327 are 1, 3, 3109, 9327
The HCF of 1240,9327 is 1.
Lets's calculate GCF of 1240,9327
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1240,9327 By Matching Biggest Common Factor Method
Now, list down the factors of 1240
:1,2,4,5,8,10,20,31,40,62,124,155,248,310,620,1240
Now, list down the factors of 9327
:1,3,3109,9327
Greatest Common Factor
We found the factors 1240,9327 . The biggest common factor number is the GCF number.
So the greatest common factor 1240,9327 is 1.
Lets's calculate LCM of 788,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 402668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402668
Therefore, the GCF of Fractions 1240/788,9327/511 is 1/402668
Least Common Multiple of 788,511 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 788,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,511) x common factors =1 x 1 = 1
LCM(788,511) = ( 788 × 511 ) / 1
LCM(788,511) = 402668 / 1
LCM(788,511) = 402668
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FAQs on GCF of Fractions of 1240/788, 9327/511
1. What is the HCF of 1240,9327?
The HCF of 1240,9327 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 1240/788, 9327/511?
Answer: GCF of Numerators as per given numbers 1240/788, 9327/511 is
GCF of Numerators i.e. for 1240,9327 is 1
LCM of denominators i.e. for 788,511 is 402668.
Thus, GCF of Fractions is 1/402668.Finally, GCF of Fractions for 1240/788, 9327/511 is 1/402668.