GCF of 7991/130, 7319/1589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7991/130, 7319/1589 i.e 1/206570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7991/130, 7319/1589.
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 7991/130,7319/1589?
Given fractions are 7991/130,7319/1589
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 7991/130,7319/1589, numerators are 7991,7319
Denominators are 130,1589
The GCF of 7991,7319 is 1 .
LCM of 130,1589 is 206570.
The greatest common factor of 7991/130,7319/1589 = [GCF of 7991,7319]/[LCM of 130,1589]= 1/206570
Therefore, the GCF of 7991/130,7319/1589 is 1/206570.
To find the highest common factor of 7991,7319, we have to find the factors of both numbers and list the highest common factor.
The factors of 7991 are 1, 61, 131, 7991
The factors of 7319 are 1, 13, 563, 7319
The HCF of 7991,7319 is 1.
Lets's calculate GCF of 7991,7319
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7991,7319 By Matching Biggest Common Factor Method
Now, list down the factors of 7991
:1,61,131,7991
Now, list down the factors of 7319
:1,13,563,7319
Greatest Common Factor
We found the factors 7991,7319 . The biggest common factor number is the GCF number.
So the greatest common factor 7991,7319 is 1.
Lets's calculate LCM of 130,1589
Given numbers has no common factors except 1. So, there LCM is their product i.e 206570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206570
Therefore, the GCF of Fractions 7991/130,7319/1589 is 1/206570
Least Common Multiple of 130,1589 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 130,1589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,1589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,1589) x common factors =1 x 1 = 1
LCM(130,1589) = ( 130 × 1589 ) / 1
LCM(130,1589) = 206570 / 1
LCM(130,1589) = 206570
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FAQs on GCF of Fractions of 7991/130, 7319/1589
1. What is the HCF of 7991,7319?
The HCF of 7991,7319 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 7991/130, 7319/1589?
Answer: GCF of Numerators as per given numbers 7991/130, 7319/1589 is
GCF of Numerators i.e. for 7991,7319 is 1
LCM of denominators i.e. for 130,1589 is 206570.
Thus, GCF of Fractions is 1/206570.Finally, GCF of Fractions for 7991/130, 7319/1589 is 1/206570.