GCF of 6091/687, 5464/2873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6091/687, 5464/2873 i.e 1/1973751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6091/687, 5464/2873.
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 6091/687,5464/2873?
Given fractions are 6091/687,5464/2873
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 6091/687,5464/2873, numerators are 6091,5464
Denominators are 687,2873
The GCF of 6091,5464 is 1 .
LCM of 687,2873 is 1973751.
The greatest common factor of 6091/687,5464/2873 = [GCF of 6091,5464]/[LCM of 687,2873]= 1/1973751
Therefore, the GCF of 6091/687,5464/2873 is 1/1973751.
To find the highest common factor of 6091,5464, we have to find the factors of both numbers and list the highest common factor.
The factors of 6091 are 1, 6091
The factors of 5464 are 1, 2, 4, 8, 683, 1366, 2732, 5464
The HCF of 6091,5464 is 1.
Lets's calculate GCF of 6091,5464
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6091,5464 By Matching Biggest Common Factor Method
Now, list down the factors of 6091
:1,6091
Now, list down the factors of 5464
:1,2,4,8,683,1366,2732,5464
Greatest Common Factor
We found the factors 6091,5464 . The biggest common factor number is the GCF number.
So the greatest common factor 6091,5464 is 1.
Lets's calculate LCM of 687,2873
Given numbers has no common factors except 1. So, there LCM is their product i.e 1973751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1973751
Therefore, the GCF of Fractions 6091/687,5464/2873 is 1/1973751
Least Common Multiple of 687,2873 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 687,2873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,2873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,2873) x common factors =1 x 1 = 1
LCM(687,2873) = ( 687 × 2873 ) / 1
LCM(687,2873) = 1973751 / 1
LCM(687,2873) = 1973751
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FAQs on GCF of Fractions of 6091/687, 5464/2873
1. What is the HCF of 6091,5464?
The HCF of 6091,5464 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 6091/687, 5464/2873?
Answer: GCF of Numerators as per given numbers 6091/687, 5464/2873 is
GCF of Numerators i.e. for 6091,5464 is 1
LCM of denominators i.e. for 687,2873 is 1973751.
Thus, GCF of Fractions is 1/1973751.Finally, GCF of Fractions for 6091/687, 5464/2873 is 1/1973751.