GCF of 6771/124, 3039/2662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6771/124, 3039/2662 i.e 3/165044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6771/124, 3039/2662.
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 6771/124,3039/2662?
Given fractions are 6771/124,3039/2662
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 6771/124,3039/2662, numerators are 6771,3039
Denominators are 124,2662
The GCF of 6771,3039 is 3 .
LCM of 124,2662 is 165044.
The greatest common factor of 6771/124,3039/2662 = [GCF of 6771,3039]/[LCM of 124,2662]= 3/165044
Therefore, the GCF of 6771/124,3039/2662 is 3/165044.
To find the highest common factor of 6771,3039, we have to find the factors of both numbers and list the highest common factor.
The factors of 6771 are 1, 3, 37, 61, 111, 183, 2257, 6771
The factors of 3039 are 1, 3, 1013, 3039
The HCF of 6771,3039 is 3.
Lets's calculate GCF of 6771,3039
| 3 | 6771, 3039 |
| 2257, 1013 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6771,3039 By Matching Biggest Common Factor Method
Now, list down the factors of 6771
:1,3,37,61,111,183,2257,6771
Now, list down the factors of 3039
:1,3,1013,3039
Greatest Common Factor
We found the factors 6771,3039 . The biggest common factor number is the GCF number.
So the greatest common factor 6771,3039 is 3.
Lets's calculate LCM of 124,2662
| 2 | 124, 2662 |
| 62, 1331 |
∴ So the LCM of the given numbers is 2 x 62 x 1331 = 165044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/165044
Therefore, the GCF of Fractions 6771/124,3039/2662 is 3/165044
Least Common Multiple of 124,2662 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 124,2662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,2662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(124,2662) x common factors =2 x 1 = 2
LCM(124,2662) = ( 124 × 2662 ) / 2
LCM(124,2662) = 330088 / 2
LCM(124,2662) = 165044
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FAQs on GCF of Fractions of 6771/124, 3039/2662
1. What is the HCF of 6771,3039?
The HCF of 6771,3039 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 6771/124, 3039/2662?
Answer: GCF of Numerators as per given numbers 6771/124, 3039/2662 is
GCF of Numerators i.e. for 6771,3039 is 3
LCM of denominators i.e. for 124,2662 is 165044.
Thus, GCF of Fractions is 3/165044.Finally, GCF of Fractions for 6771/124, 3039/2662 is 3/165044.