GCF of 2543/772, 2271/1968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2543/772, 2271/1968 i.e 1/379824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2543/772, 2271/1968.
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 2543/772,2271/1968?
Given fractions are 2543/772,2271/1968
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 2543/772,2271/1968, numerators are 2543,2271
Denominators are 772,1968
The GCF of 2543,2271 is 1 .
LCM of 772,1968 is 379824.
The greatest common factor of 2543/772,2271/1968 = [GCF of 2543,2271]/[LCM of 772,1968]= 1/379824
Therefore, the GCF of 2543/772,2271/1968 is 1/379824.
To find the highest common factor of 2543,2271, we have to find the factors of both numbers and list the highest common factor.
The factors of 2543 are 1, 2543
The factors of 2271 are 1, 3, 757, 2271
The HCF of 2543,2271 is 1.
Lets's calculate GCF of 2543,2271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2543,2271 By Matching Biggest Common Factor Method
Now, list down the factors of 2543
:1,2543
Now, list down the factors of 2271
:1,3,757,2271
Greatest Common Factor
We found the factors 2543,2271 . The biggest common factor number is the GCF number.
So the greatest common factor 2543,2271 is 1.
Lets's calculate LCM of 772,1968
| 2 | 772, 1968 |
| 2 | 386, 984 |
| 193, 492 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 492 = 379824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379824
Therefore, the GCF of Fractions 2543/772,2271/1968 is 1/379824
Least Common Multiple of 772,1968 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 772,1968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,1968) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,1968) x common factors =4 x 1 = 4
LCM(772,1968) = ( 772 × 1968 ) / 4
LCM(772,1968) = 1519296 / 4
LCM(772,1968) = 379824
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FAQs on GCF of Fractions of 2543/772, 2271/1968
1. What is the HCF of 2543,2271?
The HCF of 2543,2271 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 2543/772, 2271/1968?
Answer: GCF of Numerators as per given numbers 2543/772, 2271/1968 is
GCF of Numerators i.e. for 2543,2271 is 1
LCM of denominators i.e. for 772,1968 is 379824.
Thus, GCF of Fractions is 1/379824.Finally, GCF of Fractions for 2543/772, 2271/1968 is 1/379824.