GCF of 2459/278, 8365/344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2459/278, 8365/344 i.e 1/47816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2459/278, 8365/344.
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 2459/278,8365/344?
Given fractions are 2459/278,8365/344
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 2459/278,8365/344, numerators are 2459,8365
Denominators are 278,344
The GCF of 2459,8365 is 1 .
LCM of 278,344 is 47816.
The greatest common factor of 2459/278,8365/344 = [GCF of 2459,8365]/[LCM of 278,344]= 1/47816
Therefore, the GCF of 2459/278,8365/344 is 1/47816.
To find the highest common factor of 2459,8365, we have to find the factors of both numbers and list the highest common factor.
The factors of 2459 are 1, 2459
The factors of 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365
The HCF of 2459,8365 is 1.
Lets's calculate GCF of 2459,8365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2459,8365 By Matching Biggest Common Factor Method
Now, list down the factors of 2459
:1,2459
Now, list down the factors of 8365
:1,5,7,35,239,1195,1673,8365
Greatest Common Factor
We found the factors 2459,8365 . The biggest common factor number is the GCF number.
So the greatest common factor 2459,8365 is 1.
Lets's calculate LCM of 278,344
| 2 | 278, 344 |
| 139, 172 |
∴ So the LCM of the given numbers is 2 x 139 x 172 = 47816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47816
Therefore, the GCF of Fractions 2459/278,8365/344 is 1/47816
Least Common Multiple of 278,344 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 278,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,344) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,344) x common factors =2 x 1 = 2
LCM(278,344) = ( 278 × 344 ) / 2
LCM(278,344) = 95632 / 2
LCM(278,344) = 47816
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FAQs on GCF of Fractions of 2459/278, 8365/344
1. What is the HCF of 2459,8365?
The HCF of 2459,8365 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 2459/278, 8365/344?
Answer: GCF of Numerators as per given numbers 2459/278, 8365/344 is
GCF of Numerators i.e. for 2459,8365 is 1
LCM of denominators i.e. for 278,344 is 47816.
Thus, GCF of Fractions is 1/47816.Finally, GCF of Fractions for 2459/278, 8365/344 is 1/47816.