GCF of 2766/743, 1452/889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2766/743, 1452/889 i.e 6/660527 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2766/743, 1452/889.
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 2766/743,1452/889?
Given fractions are 2766/743,1452/889
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 2766/743,1452/889, numerators are 2766,1452
Denominators are 743,889
The GCF of 2766,1452 is 6 .
LCM of 743,889 is 660527.
The greatest common factor of 2766/743,1452/889 = [GCF of 2766,1452]/[LCM of 743,889]= 6/660527
Therefore, the GCF of 2766/743,1452/889 is 6/660527.
To find the highest common factor of 2766,1452, we have to find the factors of both numbers and list the highest common factor.
The factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766
The factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452
The HCF of 2766,1452 is 6.
Lets's calculate GCF of 2766,1452
| 2 | 2766, 1452 |
| 3 | 1383, 726 |
| 461, 242 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2766,1452 By Matching Biggest Common Factor Method
Now, list down the factors of 2766
:1,2,3,6,461,922,1383,2766
Now, list down the factors of 1452
:1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452
Greatest Common Factor
We found the factors 2766,1452 . The biggest common factor number is the GCF number.
So the greatest common factor 2766,1452 is 6.
Lets's calculate LCM of 743,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 660527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/660527
Therefore, the GCF of Fractions 2766/743,1452/889 is 6/660527
Least Common Multiple of 743,889 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 743,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,889) x common factors =1 x 1 = 1
LCM(743,889) = ( 743 × 889 ) / 1
LCM(743,889) = 660527 / 1
LCM(743,889) = 660527
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FAQs on GCF of Fractions of 2766/743, 1452/889
1. What is the HCF of 2766,1452?
The HCF of 2766,1452 is 6
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 2766/743, 1452/889?
Answer: GCF of Numerators as per given numbers 2766/743, 1452/889 is
GCF of Numerators i.e. for 2766,1452 is 6
LCM of denominators i.e. for 743,889 is 660527.
Thus, GCF of Fractions is 6/660527.Finally, GCF of Fractions for 2766/743, 1452/889 is 6/660527.