GCF of 2848/740, 7277/2810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2848/740, 7277/2810 i.e 1/207940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2848/740, 7277/2810.
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 2848/740,7277/2810?
Given fractions are 2848/740,7277/2810
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 2848/740,7277/2810, numerators are 2848,7277
Denominators are 740,2810
The GCF of 2848,7277 is 1 .
LCM of 740,2810 is 207940.
The greatest common factor of 2848/740,7277/2810 = [GCF of 2848,7277]/[LCM of 740,2810]= 1/207940
Therefore, the GCF of 2848/740,7277/2810 is 1/207940.
To find the highest common factor of 2848,7277, we have to find the factors of both numbers and list the highest common factor.
The factors of 2848 are 1, 2, 4, 8, 16, 32, 89, 178, 356, 712, 1424, 2848
The factors of 7277 are 1, 19, 383, 7277
The HCF of 2848,7277 is 1.
Lets's calculate GCF of 2848,7277
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2848,7277 By Matching Biggest Common Factor Method
Now, list down the factors of 2848
:1,2,4,8,16,32,89,178,356,712,1424,2848
Now, list down the factors of 7277
:1,19,383,7277
Greatest Common Factor
We found the factors 2848,7277 . The biggest common factor number is the GCF number.
So the greatest common factor 2848,7277 is 1.
Lets's calculate LCM of 740,2810
| 2 | 740, 2810 |
| 5 | 370, 1405 |
| 74, 281 |
∴ So the LCM of the given numbers is 2 x 5 x 74 x 281 = 207940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207940
Therefore, the GCF of Fractions 2848/740,7277/2810 is 1/207940
Least Common Multiple of 740,2810 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 740,2810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,2810) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(740,2810) x common factors =10 x 1 = 10
LCM(740,2810) = ( 740 × 2810 ) / 10
LCM(740,2810) = 2079400 / 10
LCM(740,2810) = 207940
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FAQs on GCF of Fractions of 2848/740, 7277/2810
1. What is the HCF of 2848,7277?
The HCF of 2848,7277 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 2848/740, 7277/2810?
Answer: GCF of Numerators as per given numbers 2848/740, 7277/2810 is
GCF of Numerators i.e. for 2848,7277 is 1
LCM of denominators i.e. for 740,2810 is 207940.
Thus, GCF of Fractions is 1/207940.Finally, GCF of Fractions for 2848/740, 7277/2810 is 1/207940.