GCF of 867/409, 7131/6637
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 867/409, 7131/6637 i.e 3/2714533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/409, 7131/6637.
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 867/409,7131/6637?
Given fractions are 867/409,7131/6637
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 867/409,7131/6637, numerators are 867,7131
Denominators are 409,6637
The GCF of 867,7131 is 3 .
LCM of 409,6637 is 2714533.
The greatest common factor of 867/409,7131/6637 = [GCF of 867,7131]/[LCM of 409,6637]= 3/2714533
Therefore, the GCF of 867/409,7131/6637 is 3/2714533.
To find the highest common factor of 867,7131, we have to find the factors of both numbers and list the highest common factor.
The factors of 867 are 1, 3, 17, 51, 289, 867
The factors of 7131 are 1, 3, 2377, 7131
The HCF of 867,7131 is 3.
Lets's calculate GCF of 867,7131
| 3 | 867, 7131 |
| 289, 2377 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 867,7131 By Matching Biggest Common Factor Method
Now, list down the factors of 867
:1,3,17,51,289,867
Now, list down the factors of 7131
:1,3,2377,7131
Greatest Common Factor
We found the factors 867,7131 . The biggest common factor number is the GCF number.
So the greatest common factor 867,7131 is 3.
Lets's calculate LCM of 409,6637
Given numbers has no common factors except 1. So, there LCM is their product i.e 2714533
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2714533
Therefore, the GCF of Fractions 867/409,7131/6637 is 3/2714533
Least Common Multiple of 409,6637 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 409,6637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,6637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,6637) x common factors =1 x 1 = 1
LCM(409,6637) = ( 409 × 6637 ) / 1
LCM(409,6637) = 2714533 / 1
LCM(409,6637) = 2714533
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FAQs on GCF of Fractions of 867/409, 7131/6637
1. What is the HCF of 867,7131?
The HCF of 867,7131 is 3
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 867/409, 7131/6637?
Answer: GCF of Numerators as per given numbers 867/409, 7131/6637 is
GCF of Numerators i.e. for 867,7131 is 3
LCM of denominators i.e. for 409,6637 is 2714533.
Thus, GCF of Fractions is 3/2714533.Finally, GCF of Fractions for 867/409, 7131/6637 is 3/2714533.