GCF of 2368/398, 9244/698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2368/398, 9244/698 i.e 4/138902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2368/398, 9244/698.
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 2368/398,9244/698?
Given fractions are 2368/398,9244/698
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 2368/398,9244/698, numerators are 2368,9244
Denominators are 398,698
The GCF of 2368,9244 is 4 .
LCM of 398,698 is 138902.
The greatest common factor of 2368/398,9244/698 = [GCF of 2368,9244]/[LCM of 398,698]= 4/138902
Therefore, the GCF of 2368/398,9244/698 is 4/138902.
To find the highest common factor of 2368,9244, we have to find the factors of both numbers and list the highest common factor.
The factors of 2368 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368
The factors of 9244 are 1, 2, 4, 2311, 4622, 9244
The HCF of 2368,9244 is 4.
Lets's calculate GCF of 2368,9244
| 2 | 2368, 9244 |
| 2 | 1184, 4622 |
| 592, 2311 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2368,9244 By Matching Biggest Common Factor Method
Now, list down the factors of 2368
:1,2,4,8,16,32,37,64,74,148,296,592,1184,2368
Now, list down the factors of 9244
:1,2,4,2311,4622,9244
Greatest Common Factor
We found the factors 2368,9244 . The biggest common factor number is the GCF number.
So the greatest common factor 2368,9244 is 4.
Lets's calculate LCM of 398,698
| 2 | 398, 698 |
| 199, 349 |
∴ So the LCM of the given numbers is 2 x 199 x 349 = 138902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/138902
Therefore, the GCF of Fractions 2368/398,9244/698 is 4/138902
Least Common Multiple of 398,698 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 398,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,698) x common factors =2 x 1 = 2
LCM(398,698) = ( 398 × 698 ) / 2
LCM(398,698) = 277804 / 2
LCM(398,698) = 138902
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FAQs on GCF of Fractions of 2368/398, 9244/698
1. What is the HCF of 2368,9244?
The HCF of 2368,9244 is 4
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 2368/398, 9244/698?
Answer: GCF of Numerators as per given numbers 2368/398, 9244/698 is
GCF of Numerators i.e. for 2368,9244 is 4
LCM of denominators i.e. for 398,698 is 138902.
Thus, GCF of Fractions is 4/138902.Finally, GCF of Fractions for 2368/398, 9244/698 is 4/138902.