GCF of 7743/166, 9627/6031
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7743/166, 9627/6031 i.e 3/1001146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7743/166, 9627/6031.
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 7743/166,9627/6031?
Given fractions are 7743/166,9627/6031
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 7743/166,9627/6031, numerators are 7743,9627
Denominators are 166,6031
The GCF of 7743,9627 is 3 .
LCM of 166,6031 is 1001146.
The greatest common factor of 7743/166,9627/6031 = [GCF of 7743,9627]/[LCM of 166,6031]= 3/1001146
Therefore, the GCF of 7743/166,9627/6031 is 3/1001146.
To find the highest common factor of 7743,9627, we have to find the factors of both numbers and list the highest common factor.
The factors of 7743 are 1, 3, 29, 87, 89, 267, 2581, 7743
The factors of 9627 are 1, 3, 3209, 9627
The HCF of 7743,9627 is 3.
Lets's calculate GCF of 7743,9627
| 3 | 7743, 9627 |
| 2581, 3209 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7743,9627 By Matching Biggest Common Factor Method
Now, list down the factors of 7743
:1,3,29,87,89,267,2581,7743
Now, list down the factors of 9627
:1,3,3209,9627
Greatest Common Factor
We found the factors 7743,9627 . The biggest common factor number is the GCF number.
So the greatest common factor 7743,9627 is 3.
Lets's calculate LCM of 166,6031
Given numbers has no common factors except 1. So, there LCM is their product i.e 1001146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1001146
Therefore, the GCF of Fractions 7743/166,9627/6031 is 3/1001146
Least Common Multiple of 166,6031 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 166,6031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,6031) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(166,6031) x common factors =1 x 1 = 1
LCM(166,6031) = ( 166 × 6031 ) / 1
LCM(166,6031) = 1001146 / 1
LCM(166,6031) = 1001146
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FAQs on GCF of Fractions of 7743/166, 9627/6031
1. What is the HCF of 7743,9627?
The HCF of 7743,9627 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 7743/166, 9627/6031?
Answer: GCF of Numerators as per given numbers 7743/166, 9627/6031 is
GCF of Numerators i.e. for 7743,9627 is 3
LCM of denominators i.e. for 166,6031 is 1001146.
Thus, GCF of Fractions is 3/1001146.Finally, GCF of Fractions for 7743/166, 9627/6031 is 3/1001146.