GCF of 8185/596, 9021/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8185/596, 9021/687 i.e 1/409452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8185/596, 9021/687.
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 8185/596,9021/687?
Given fractions are 8185/596,9021/687
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 8185/596,9021/687, numerators are 8185,9021
Denominators are 596,687
The GCF of 8185,9021 is 1 .
LCM of 596,687 is 409452.
The greatest common factor of 8185/596,9021/687 = [GCF of 8185,9021]/[LCM of 596,687]= 1/409452
Therefore, the GCF of 8185/596,9021/687 is 1/409452.
To find the highest common factor of 8185,9021, we have to find the factors of both numbers and list the highest common factor.
The factors of 8185 are 1, 5, 1637, 8185
The factors of 9021 are 1, 3, 31, 93, 97, 291, 3007, 9021
The HCF of 8185,9021 is 1.
Lets's calculate GCF of 8185,9021
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8185,9021 By Matching Biggest Common Factor Method
Now, list down the factors of 8185
:1,5,1637,8185
Now, list down the factors of 9021
:1,3,31,93,97,291,3007,9021
Greatest Common Factor
We found the factors 8185,9021 . The biggest common factor number is the GCF number.
So the greatest common factor 8185,9021 is 1.
Lets's calculate LCM of 596,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 409452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/409452
Therefore, the GCF of Fractions 8185/596,9021/687 is 1/409452
Least Common Multiple of 596,687 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 596,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(596,687) x common factors =1 x 1 = 1
LCM(596,687) = ( 596 × 687 ) / 1
LCM(596,687) = 409452 / 1
LCM(596,687) = 409452
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8185/596, 9021/687
1. What is the HCF of 8185,9021?
The HCF of 8185,9021 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 8185/596, 9021/687?
Answer: GCF of Numerators as per given numbers 8185/596, 9021/687 is
GCF of Numerators i.e. for 8185,9021 is 1
LCM of denominators i.e. for 596,687 is 409452.
Thus, GCF of Fractions is 1/409452.Finally, GCF of Fractions for 8185/596, 9021/687 is 1/409452.