GCF of 766/838, 2915/9753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 766/838, 2915/9753 i.e 1/8173014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/838, 2915/9753.
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 766/838,2915/9753?
Given fractions are 766/838,2915/9753
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 766/838,2915/9753, numerators are 766,2915
Denominators are 838,9753
The GCF of 766,2915 is 1 .
LCM of 838,9753 is 8173014.
The greatest common factor of 766/838,2915/9753 = [GCF of 766,2915]/[LCM of 838,9753]= 1/8173014
Therefore, the GCF of 766/838,2915/9753 is 1/8173014.
To find the highest common factor of 766,2915, we have to find the factors of both numbers and list the highest common factor.
The factors of 766 are 1, 2, 383, 766
The factors of 2915 are 1, 5, 11, 53, 55, 265, 583, 2915
The HCF of 766,2915 is 1.
Lets's calculate GCF of 766,2915
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 766,2915 By Matching Biggest Common Factor Method
Now, list down the factors of 766
:1,2,383,766
Now, list down the factors of 2915
:1,5,11,53,55,265,583,2915
Greatest Common Factor
We found the factors 766,2915 . The biggest common factor number is the GCF number.
So the greatest common factor 766,2915 is 1.
Lets's calculate LCM of 838,9753
Given numbers has no common factors except 1. So, there LCM is their product i.e 8173014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8173014
Therefore, the GCF of Fractions 766/838,2915/9753 is 1/8173014
Least Common Multiple of 838,9753 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 838,9753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,9753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,9753) x common factors =1 x 1 = 1
LCM(838,9753) = ( 838 × 9753 ) / 1
LCM(838,9753) = 8173014 / 1
LCM(838,9753) = 8173014
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FAQs on GCF of Fractions of 766/838, 2915/9753
1. What is the HCF of 766,2915?
The HCF of 766,2915 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 766/838, 2915/9753?
Answer: GCF of Numerators as per given numbers 766/838, 2915/9753 is
GCF of Numerators i.e. for 766,2915 is 1
LCM of denominators i.e. for 838,9753 is 8173014.
Thus, GCF of Fractions is 1/8173014.Finally, GCF of Fractions for 766/838, 2915/9753 is 1/8173014.