GCF of 2398/326, 7865/1105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2398/326, 7865/1105 i.e 11/360230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2398/326, 7865/1105.
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 2398/326,7865/1105?
Given fractions are 2398/326,7865/1105
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 2398/326,7865/1105, numerators are 2398,7865
Denominators are 326,1105
The GCF of 2398,7865 is 11 .
LCM of 326,1105 is 360230.
The greatest common factor of 2398/326,7865/1105 = [GCF of 2398,7865]/[LCM of 326,1105]= 11/360230
Therefore, the GCF of 2398/326,7865/1105 is 11/360230.
To find the highest common factor of 2398,7865, we have to find the factors of both numbers and list the highest common factor.
The factors of 2398 are 1, 2, 11, 22, 109, 218, 1199, 2398
The factors of 7865 are 1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1573, 7865
The HCF of 2398,7865 is 11.
Lets's calculate GCF of 2398,7865
| 11 | 2398, 7865 |
| 218, 715 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2398,7865 By Matching Biggest Common Factor Method
Now, list down the factors of 2398
:1,2,11,22,109,218,1199,2398
Now, list down the factors of 7865
:1,5,11,13,55,65,121,143,605,715,1573,7865
Greatest Common Factor
We found the factors 2398,7865 . The biggest common factor number is the GCF number.
So the greatest common factor 2398,7865 is 11.
Lets's calculate LCM of 326,1105
Given numbers has no common factors except 1. So, there LCM is their product i.e 360230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/360230
Therefore, the GCF of Fractions 2398/326,7865/1105 is 11/360230
Least Common Multiple of 326,1105 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 326,1105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,1105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(326,1105) x common factors =1 x 1 = 1
LCM(326,1105) = ( 326 × 1105 ) / 1
LCM(326,1105) = 360230 / 1
LCM(326,1105) = 360230
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FAQs on GCF of Fractions of 2398/326, 7865/1105
1. What is the HCF of 2398,7865?
The HCF of 2398,7865 is 11
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 2398/326, 7865/1105?
Answer: GCF of Numerators as per given numbers 2398/326, 7865/1105 is
GCF of Numerators i.e. for 2398,7865 is 11
LCM of denominators i.e. for 326,1105 is 360230.
Thus, GCF of Fractions is 11/360230.Finally, GCF of Fractions for 2398/326, 7865/1105 is 11/360230.