GCF of 2368/998, 6862/4856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2368/998, 6862/4856 i.e 2/2423144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2368/998, 6862/4856.
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 2368/998,6862/4856?
Given fractions are 2368/998,6862/4856
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 2368/998,6862/4856, numerators are 2368,6862
Denominators are 998,4856
The GCF of 2368,6862 is 2 .
LCM of 998,4856 is 2423144.
The greatest common factor of 2368/998,6862/4856 = [GCF of 2368,6862]/[LCM of 998,4856]= 2/2423144
Therefore, the GCF of 2368/998,6862/4856 is 2/2423144.
To find the highest common factor of 2368,6862, 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 6862 are 1, 2, 47, 73, 94, 146, 3431, 6862
The HCF of 2368,6862 is 2.
Lets's calculate GCF of 2368,6862
| 2 | 2368, 6862 |
| 1184, 3431 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2368,6862 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 6862
:1,2,47,73,94,146,3431,6862
Greatest Common Factor
We found the factors 2368,6862 . The biggest common factor number is the GCF number.
So the greatest common factor 2368,6862 is 2.
Lets's calculate LCM of 998,4856
| 2 | 998, 4856 |
| 499, 2428 |
∴ So the LCM of the given numbers is 2 x 499 x 2428 = 2423144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2423144
Therefore, the GCF of Fractions 2368/998,6862/4856 is 2/2423144
Least Common Multiple of 998,4856 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 998,4856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,4856) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,4856) x common factors =2 x 1 = 2
LCM(998,4856) = ( 998 × 4856 ) / 2
LCM(998,4856) = 4846288 / 2
LCM(998,4856) = 2423144
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FAQs on GCF of Fractions of 2368/998, 6862/4856
1. What is the HCF of 2368,6862?
The HCF of 2368,6862 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 2368/998, 6862/4856?
Answer: GCF of Numerators as per given numbers 2368/998, 6862/4856 is
GCF of Numerators i.e. for 2368,6862 is 2
LCM of denominators i.e. for 998,4856 is 2423144.
Thus, GCF of Fractions is 2/2423144.Finally, GCF of Fractions for 2368/998, 6862/4856 is 2/2423144.