GCF of 4887/769, 7668/439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4887/769, 7668/439 i.e 27/337591 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4887/769, 7668/439.
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 4887/769,7668/439?
Given fractions are 4887/769,7668/439
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 4887/769,7668/439, numerators are 4887,7668
Denominators are 769,439
The GCF of 4887,7668 is 27 .
LCM of 769,439 is 337591.
The greatest common factor of 4887/769,7668/439 = [GCF of 4887,7668]/[LCM of 769,439]= 27/337591
Therefore, the GCF of 4887/769,7668/439 is 27/337591.
To find the highest common factor of 4887,7668, we have to find the factors of both numbers and list the highest common factor.
The factors of 4887 are 1, 3, 9, 27, 181, 543, 1629, 4887
The factors of 7668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668
The HCF of 4887,7668 is 27.
Lets's calculate GCF of 4887,7668
| 3 | 4887, 7668 |
| 3 | 1629, 2556 |
| 3 | 543, 852 |
| 181, 284 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 4887,7668 By Matching Biggest Common Factor Method
Now, list down the factors of 4887
:1,3,9,27,181,543,1629,4887
Now, list down the factors of 7668
:1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668
Greatest Common Factor
We found the factors 4887,7668 . The biggest common factor number is the GCF number.
So the greatest common factor 4887,7668 is 27.
Lets's calculate LCM of 769,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 337591
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/337591
Therefore, the GCF of Fractions 4887/769,7668/439 is 27/337591
Least Common Multiple of 769,439 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 769,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,439) x common factors =1 x 1 = 1
LCM(769,439) = ( 769 × 439 ) / 1
LCM(769,439) = 337591 / 1
LCM(769,439) = 337591
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FAQs on GCF of Fractions of 4887/769, 7668/439
1. What is the HCF of 4887,7668?
The HCF of 4887,7668 is 27
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 4887/769, 7668/439?
Answer: GCF of Numerators as per given numbers 4887/769, 7668/439 is
GCF of Numerators i.e. for 4887,7668 is 27
LCM of denominators i.e. for 769,439 is 337591.
Thus, GCF of Fractions is 27/337591.Finally, GCF of Fractions for 4887/769, 7668/439 is 27/337591.