GCF of 6761/410, 5915/7297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6761/410, 5915/7297 i.e 1/2991770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6761/410, 5915/7297.
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 6761/410,5915/7297?
Given fractions are 6761/410,5915/7297
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 6761/410,5915/7297, numerators are 6761,5915
Denominators are 410,7297
The GCF of 6761,5915 is 1 .
LCM of 410,7297 is 2991770.
The greatest common factor of 6761/410,5915/7297 = [GCF of 6761,5915]/[LCM of 410,7297]= 1/2991770
Therefore, the GCF of 6761/410,5915/7297 is 1/2991770.
To find the highest common factor of 6761,5915, we have to find the factors of both numbers and list the highest common factor.
The factors of 6761 are 1, 6761
The factors of 5915 are 1, 5, 7, 13, 35, 65, 91, 169, 455, 845, 1183, 5915
The HCF of 6761,5915 is 1.
Lets's calculate GCF of 6761,5915
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6761,5915 By Matching Biggest Common Factor Method
Now, list down the factors of 6761
:1,6761
Now, list down the factors of 5915
:1,5,7,13,35,65,91,169,455,845,1183,5915
Greatest Common Factor
We found the factors 6761,5915 . The biggest common factor number is the GCF number.
So the greatest common factor 6761,5915 is 1.
Lets's calculate LCM of 410,7297
Given numbers has no common factors except 1. So, there LCM is their product i.e 2991770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2991770
Therefore, the GCF of Fractions 6761/410,5915/7297 is 1/2991770
Least Common Multiple of 410,7297 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 410,7297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,7297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(410,7297) x common factors =1 x 1 = 1
LCM(410,7297) = ( 410 × 7297 ) / 1
LCM(410,7297) = 2991770 / 1
LCM(410,7297) = 2991770
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FAQs on GCF of Fractions of 6761/410, 5915/7297
1. What is the HCF of 6761,5915?
The HCF of 6761,5915 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 6761/410, 5915/7297?
Answer: GCF of Numerators as per given numbers 6761/410, 5915/7297 is
GCF of Numerators i.e. for 6761,5915 is 1
LCM of denominators i.e. for 410,7297 is 2991770.
Thus, GCF of Fractions is 1/2991770.Finally, GCF of Fractions for 6761/410, 5915/7297 is 1/2991770.