GCF of 8087/843, 7251/6184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8087/843, 7251/6184 i.e 1/5213112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8087/843, 7251/6184.
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 8087/843,7251/6184?
Given fractions are 8087/843,7251/6184
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 8087/843,7251/6184, numerators are 8087,7251
Denominators are 843,6184
The GCF of 8087,7251 is 1 .
LCM of 843,6184 is 5213112.
The greatest common factor of 8087/843,7251/6184 = [GCF of 8087,7251]/[LCM of 843,6184]= 1/5213112
Therefore, the GCF of 8087/843,7251/6184 is 1/5213112.
To find the highest common factor of 8087,7251, we have to find the factors of both numbers and list the highest common factor.
The factors of 8087 are 1, 8087
The factors of 7251 are 1, 3, 2417, 7251
The HCF of 8087,7251 is 1.
Lets's calculate GCF of 8087,7251
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8087,7251 By Matching Biggest Common Factor Method
Now, list down the factors of 8087
:1,8087
Now, list down the factors of 7251
:1,3,2417,7251
Greatest Common Factor
We found the factors 8087,7251 . The biggest common factor number is the GCF number.
So the greatest common factor 8087,7251 is 1.
Lets's calculate LCM of 843,6184
Given numbers has no common factors except 1. So, there LCM is their product i.e 5213112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5213112
Therefore, the GCF of Fractions 8087/843,7251/6184 is 1/5213112
Least Common Multiple of 843,6184 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 843,6184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,6184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,6184) x common factors =1 x 1 = 1
LCM(843,6184) = ( 843 × 6184 ) / 1
LCM(843,6184) = 5213112 / 1
LCM(843,6184) = 5213112
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FAQs on GCF of Fractions of 8087/843, 7251/6184
1. What is the HCF of 8087,7251?
The HCF of 8087,7251 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 8087/843, 7251/6184?
Answer: GCF of Numerators as per given numbers 8087/843, 7251/6184 is
GCF of Numerators i.e. for 8087,7251 is 1
LCM of denominators i.e. for 843,6184 is 5213112.
Thus, GCF of Fractions is 1/5213112.Finally, GCF of Fractions for 8087/843, 7251/6184 is 1/5213112.