GCF of 5917/869, 7081/6089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5917/869, 7081/6089 i.e 97/5291341 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5917/869, 7081/6089.
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 5917/869,7081/6089?
Given fractions are 5917/869,7081/6089
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 5917/869,7081/6089, numerators are 5917,7081
Denominators are 869,6089
The GCF of 5917,7081 is 97 .
LCM of 869,6089 is 5291341.
The greatest common factor of 5917/869,7081/6089 = [GCF of 5917,7081]/[LCM of 869,6089]= 97/5291341
Therefore, the GCF of 5917/869,7081/6089 is 97/5291341.
To find the highest common factor of 5917,7081, we have to find the factors of both numbers and list the highest common factor.
The factors of 5917 are 1, 61, 97, 5917
The factors of 7081 are 1, 73, 97, 7081
The HCF of 5917,7081 is 97.
Lets's calculate GCF of 5917,7081
| 97 | 5917, 7081 |
| 61, 73 |
∴ So the GCF of the given numbers is 97 = 97
Greatest Common Factor of 5917,7081 By Matching Biggest Common Factor Method
Now, list down the factors of 5917
:1,61,97,5917
Now, list down the factors of 7081
:1,73,97,7081
Greatest Common Factor
We found the factors 5917,7081 . The biggest common factor number is the GCF number.
So the greatest common factor 5917,7081 is 97.
Lets's calculate LCM of 869,6089
Given numbers has no common factors except 1. So, there LCM is their product i.e 5291341
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 97/5291341
Therefore, the GCF of Fractions 5917/869,7081/6089 is 97/5291341
Least Common Multiple of 869,6089 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 869,6089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,6089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,6089) x common factors =1 x 1 = 1
LCM(869,6089) = ( 869 × 6089 ) / 1
LCM(869,6089) = 5291341 / 1
LCM(869,6089) = 5291341
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5917/869, 7081/6089
1. What is the HCF of 5917,7081?
The HCF of 5917,7081 is 97
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 5917/869, 7081/6089?
Answer: GCF of Numerators as per given numbers 5917/869, 7081/6089 is
GCF of Numerators i.e. for 5917,7081 is 97
LCM of denominators i.e. for 869,6089 is 5291341.
Thus, GCF of Fractions is 97/5291341.Finally, GCF of Fractions for 5917/869, 7081/6089 is 97/5291341.