GCF of 6831/572, 9771/7096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6831/572, 9771/7096 i.e 3/1014728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6831/572, 9771/7096.
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 6831/572,9771/7096?
Given fractions are 6831/572,9771/7096
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 6831/572,9771/7096, numerators are 6831,9771
Denominators are 572,7096
The GCF of 6831,9771 is 3 .
LCM of 572,7096 is 1014728.
The greatest common factor of 6831/572,9771/7096 = [GCF of 6831,9771]/[LCM of 572,7096]= 3/1014728
Therefore, the GCF of 6831/572,9771/7096 is 3/1014728.
To find the highest common factor of 6831,9771, we have to find the factors of both numbers and list the highest common factor.
The factors of 6831 are 1, 3, 9, 11, 23, 27, 33, 69, 99, 207, 253, 297, 621, 759, 2277, 6831
The factors of 9771 are 1, 3, 3257, 9771
The HCF of 6831,9771 is 3.
Lets's calculate GCF of 6831,9771
| 3 | 6831, 9771 |
| 2277, 3257 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6831,9771 By Matching Biggest Common Factor Method
Now, list down the factors of 6831
:1,3,9,11,23,27,33,69,99,207,253,297,621,759,2277,6831
Now, list down the factors of 9771
:1,3,3257,9771
Greatest Common Factor
We found the factors 6831,9771 . The biggest common factor number is the GCF number.
So the greatest common factor 6831,9771 is 3.
Lets's calculate LCM of 572,7096
| 2 | 572, 7096 |
| 2 | 286, 3548 |
| 143, 1774 |
∴ So the LCM of the given numbers is 2 x 2 x 143 x 1774 = 1014728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1014728
Therefore, the GCF of Fractions 6831/572,9771/7096 is 3/1014728
Least Common Multiple of 572,7096 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 572,7096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,7096) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(572,7096) x common factors =4 x 1 = 4
LCM(572,7096) = ( 572 × 7096 ) / 4
LCM(572,7096) = 4058912 / 4
LCM(572,7096) = 1014728
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FAQs on GCF of Fractions of 6831/572, 9771/7096
1. What is the HCF of 6831,9771?
The HCF of 6831,9771 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 6831/572, 9771/7096?
Answer: GCF of Numerators as per given numbers 6831/572, 9771/7096 is
GCF of Numerators i.e. for 6831,9771 is 3
LCM of denominators i.e. for 572,7096 is 1014728.
Thus, GCF of Fractions is 3/1014728.Finally, GCF of Fractions for 6831/572, 9771/7096 is 3/1014728.