GCF of 2761/840, 6513/929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2761/840, 6513/929 i.e 1/780360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2761/840, 6513/929.
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 2761/840,6513/929?
Given fractions are 2761/840,6513/929
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 2761/840,6513/929, numerators are 2761,6513
Denominators are 840,929
The GCF of 2761,6513 is 1 .
LCM of 840,929 is 780360.
The greatest common factor of 2761/840,6513/929 = [GCF of 2761,6513]/[LCM of 840,929]= 1/780360
Therefore, the GCF of 2761/840,6513/929 is 1/780360.
To find the highest common factor of 2761,6513, we have to find the factors of both numbers and list the highest common factor.
The factors of 2761 are 1, 11, 251, 2761
The factors of 6513 are 1, 3, 13, 39, 167, 501, 2171, 6513
The HCF of 2761,6513 is 1.
Lets's calculate GCF of 2761,6513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2761,6513 By Matching Biggest Common Factor Method
Now, list down the factors of 2761
:1,11,251,2761
Now, list down the factors of 6513
:1,3,13,39,167,501,2171,6513
Greatest Common Factor
We found the factors 2761,6513 . The biggest common factor number is the GCF number.
So the greatest common factor 2761,6513 is 1.
Lets's calculate LCM of 840,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 780360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/780360
Therefore, the GCF of Fractions 2761/840,6513/929 is 1/780360
Least Common Multiple of 840,929 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 840,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(840,929) x common factors =1 x 1 = 1
LCM(840,929) = ( 840 × 929 ) / 1
LCM(840,929) = 780360 / 1
LCM(840,929) = 780360
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FAQs on GCF of Fractions of 2761/840, 6513/929
1. What is the HCF of 2761,6513?
The HCF of 2761,6513 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 2761/840, 6513/929?
Answer: GCF of Numerators as per given numbers 2761/840, 6513/929 is
GCF of Numerators i.e. for 2761,6513 is 1
LCM of denominators i.e. for 840,929 is 780360.
Thus, GCF of Fractions is 1/780360.Finally, GCF of Fractions for 2761/840, 6513/929 is 1/780360.