GCF of 2644/893, 7788/5431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2644/893, 7788/5431 i.e 4/4849883 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2644/893, 7788/5431.
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 2644/893,7788/5431?
Given fractions are 2644/893,7788/5431
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 2644/893,7788/5431, numerators are 2644,7788
Denominators are 893,5431
The GCF of 2644,7788 is 4 .
LCM of 893,5431 is 4849883.
The greatest common factor of 2644/893,7788/5431 = [GCF of 2644,7788]/[LCM of 893,5431]= 4/4849883
Therefore, the GCF of 2644/893,7788/5431 is 4/4849883.
To find the highest common factor of 2644,7788, we have to find the factors of both numbers and list the highest common factor.
The factors of 2644 are 1, 2, 4, 661, 1322, 2644
The factors of 7788 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788
The HCF of 2644,7788 is 4.
Lets's calculate GCF of 2644,7788
| 2 | 2644, 7788 |
| 2 | 1322, 3894 |
| 661, 1947 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2644,7788 By Matching Biggest Common Factor Method
Now, list down the factors of 2644
:1,2,4,661,1322,2644
Now, list down the factors of 7788
:1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788
Greatest Common Factor
We found the factors 2644,7788 . The biggest common factor number is the GCF number.
So the greatest common factor 2644,7788 is 4.
Lets's calculate LCM of 893,5431
Given numbers has no common factors except 1. So, there LCM is their product i.e 4849883
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4849883
Therefore, the GCF of Fractions 2644/893,7788/5431 is 4/4849883
Least Common Multiple of 893,5431 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 893,5431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,5431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,5431) x common factors =1 x 1 = 1
LCM(893,5431) = ( 893 × 5431 ) / 1
LCM(893,5431) = 4849883 / 1
LCM(893,5431) = 4849883
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FAQs on GCF of Fractions of 2644/893, 7788/5431
1. What is the HCF of 2644,7788?
The HCF of 2644,7788 is 4
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 2644/893, 7788/5431?
Answer: GCF of Numerators as per given numbers 2644/893, 7788/5431 is
GCF of Numerators i.e. for 2644,7788 is 4
LCM of denominators i.e. for 893,5431 is 4849883.
Thus, GCF of Fractions is 4/4849883.Finally, GCF of Fractions for 2644/893, 7788/5431 is 4/4849883.