GCF of 848/320, 1014/454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 848/320, 1014/454 i.e 2/72640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 848/320, 1014/454.
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 848/320,1014/454?
Given fractions are 848/320,1014/454
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 848/320,1014/454, numerators are 848,1014
Denominators are 320,454
The GCF of 848,1014 is 2 .
LCM of 320,454 is 72640.
The greatest common factor of 848/320,1014/454 = [GCF of 848,1014]/[LCM of 320,454]= 2/72640
Therefore, the GCF of 848/320,1014/454 is 2/72640.
To find the highest common factor of 848,1014, we have to find the factors of both numbers and list the highest common factor.
The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
The factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014
The HCF of 848,1014 is 2.
Lets's calculate GCF of 848,1014
| 2 | 848, 1014 |
| 424, 507 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 848,1014 By Matching Biggest Common Factor Method
Now, list down the factors of 848
:1,2,4,8,16,53,106,212,424,848
Now, list down the factors of 1014
:1,2,3,6,13,26,39,78,169,338,507,1014
Greatest Common Factor
We found the factors 848,1014 . The biggest common factor number is the GCF number.
So the greatest common factor 848,1014 is 2.
Lets's calculate LCM of 320,454
| 2 | 320, 454 |
| 160, 227 |
∴ So the LCM of the given numbers is 2 x 160 x 227 = 72640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72640
Therefore, the GCF of Fractions 848/320,1014/454 is 2/72640
Least Common Multiple of 320,454 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 320,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(320,454) x common factors =2 x 1 = 2
LCM(320,454) = ( 320 × 454 ) / 2
LCM(320,454) = 145280 / 2
LCM(320,454) = 72640
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FAQs on GCF of Fractions of 848/320, 1014/454
1. What is the HCF of 848,1014?
The HCF of 848,1014 is 2
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 848/320, 1014/454?
Answer: GCF of Numerators as per given numbers 848/320, 1014/454 is
GCF of Numerators i.e. for 848,1014 is 2
LCM of denominators i.e. for 320,454 is 72640.
Thus, GCF of Fractions is 2/72640.Finally, GCF of Fractions for 848/320, 1014/454 is 2/72640.