GCF of 4853/748, 2553/5179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4853/748, 2553/5179 i.e 23/3873892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4853/748, 2553/5179.
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 4853/748,2553/5179?
Given fractions are 4853/748,2553/5179
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 4853/748,2553/5179, numerators are 4853,2553
Denominators are 748,5179
The GCF of 4853,2553 is 23 .
LCM of 748,5179 is 3873892.
The greatest common factor of 4853/748,2553/5179 = [GCF of 4853,2553]/[LCM of 748,5179]= 23/3873892
Therefore, the GCF of 4853/748,2553/5179 is 23/3873892.
To find the highest common factor of 4853,2553, we have to find the factors of both numbers and list the highest common factor.
The factors of 4853 are 1, 23, 211, 4853
The factors of 2553 are 1, 3, 23, 37, 69, 111, 851, 2553
The HCF of 4853,2553 is 23.
Lets's calculate GCF of 4853,2553
| 23 | 4853, 2553 |
| 211, 111 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4853,2553 By Matching Biggest Common Factor Method
Now, list down the factors of 4853
:1,23,211,4853
Now, list down the factors of 2553
:1,3,23,37,69,111,851,2553
Greatest Common Factor
We found the factors 4853,2553 . The biggest common factor number is the GCF number.
So the greatest common factor 4853,2553 is 23.
Lets's calculate LCM of 748,5179
Given numbers has no common factors except 1. So, there LCM is their product i.e 3873892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/3873892
Therefore, the GCF of Fractions 4853/748,2553/5179 is 23/3873892
Least Common Multiple of 748,5179 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 748,5179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,5179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(748,5179) x common factors =1 x 1 = 1
LCM(748,5179) = ( 748 × 5179 ) / 1
LCM(748,5179) = 3873892 / 1
LCM(748,5179) = 3873892
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FAQs on GCF of Fractions of 4853/748, 2553/5179
1. What is the HCF of 4853,2553?
The HCF of 4853,2553 is 23
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 4853/748, 2553/5179?
Answer: GCF of Numerators as per given numbers 4853/748, 2553/5179 is
GCF of Numerators i.e. for 4853,2553 is 23
LCM of denominators i.e. for 748,5179 is 3873892.
Thus, GCF of Fractions is 23/3873892.Finally, GCF of Fractions for 4853/748, 2553/5179 is 23/3873892.