GCF of 2763/848, 2642/4864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2763/848, 2642/4864 i.e 1/257792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2763/848, 2642/4864.
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 2763/848,2642/4864?
Given fractions are 2763/848,2642/4864
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 2763/848,2642/4864, numerators are 2763,2642
Denominators are 848,4864
The GCF of 2763,2642 is 1 .
LCM of 848,4864 is 257792.
The greatest common factor of 2763/848,2642/4864 = [GCF of 2763,2642]/[LCM of 848,4864]= 1/257792
Therefore, the GCF of 2763/848,2642/4864 is 1/257792.
To find the highest common factor of 2763,2642, we have to find the factors of both numbers and list the highest common factor.
The factors of 2763 are 1, 3, 9, 307, 921, 2763
The factors of 2642 are 1, 2, 1321, 2642
The HCF of 2763,2642 is 1.
Lets's calculate GCF of 2763,2642
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2763,2642 By Matching Biggest Common Factor Method
Now, list down the factors of 2763
:1,3,9,307,921,2763
Now, list down the factors of 2642
:1,2,1321,2642
Greatest Common Factor
We found the factors 2763,2642 . The biggest common factor number is the GCF number.
So the greatest common factor 2763,2642 is 1.
Lets's calculate LCM of 848,4864
| 2 | 848, 4864 |
| 2 | 424, 2432 |
| 2 | 212, 1216 |
| 2 | 106, 608 |
| 53, 304 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 53 x 304 = 257792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257792
Therefore, the GCF of Fractions 2763/848,2642/4864 is 1/257792
Least Common Multiple of 848,4864 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 848,4864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,4864) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(848,4864) x common factors =16 x 1 = 16
LCM(848,4864) = ( 848 × 4864 ) / 16
LCM(848,4864) = 4124672 / 16
LCM(848,4864) = 257792
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FAQs on GCF of Fractions of 2763/848, 2642/4864
1. What is the HCF of 2763,2642?
The HCF of 2763,2642 is 1
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 2763/848, 2642/4864?
Answer: GCF of Numerators as per given numbers 2763/848, 2642/4864 is
GCF of Numerators i.e. for 2763,2642 is 1
LCM of denominators i.e. for 848,4864 is 257792.
Thus, GCF of Fractions is 1/257792.Finally, GCF of Fractions for 2763/848, 2642/4864 is 1/257792.