GCF of 2408/426, 6579/8840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2408/426, 6579/8840 i.e 43/1882920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2408/426, 6579/8840.
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 2408/426,6579/8840?
Given fractions are 2408/426,6579/8840
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 2408/426,6579/8840, numerators are 2408,6579
Denominators are 426,8840
The GCF of 2408,6579 is 43 .
LCM of 426,8840 is 1882920.
The greatest common factor of 2408/426,6579/8840 = [GCF of 2408,6579]/[LCM of 426,8840]= 43/1882920
Therefore, the GCF of 2408/426,6579/8840 is 43/1882920.
To find the highest common factor of 2408,6579, we have to find the factors of both numbers and list the highest common factor.
The factors of 2408 are 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408
The factors of 6579 are 1, 3, 9, 17, 43, 51, 129, 153, 387, 731, 2193, 6579
The HCF of 2408,6579 is 43.
Lets's calculate GCF of 2408,6579
| 43 | 2408, 6579 |
| 56, 153 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 2408,6579 By Matching Biggest Common Factor Method
Now, list down the factors of 2408
:1,2,4,7,8,14,28,43,56,86,172,301,344,602,1204,2408
Now, list down the factors of 6579
:1,3,9,17,43,51,129,153,387,731,2193,6579
Greatest Common Factor
We found the factors 2408,6579 . The biggest common factor number is the GCF number.
So the greatest common factor 2408,6579 is 43.
Lets's calculate LCM of 426,8840
| 2 | 426, 8840 |
| 213, 4420 |
∴ So the LCM of the given numbers is 2 x 213 x 4420 = 1882920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/1882920
Therefore, the GCF of Fractions 2408/426,6579/8840 is 43/1882920
Least Common Multiple of 426,8840 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 426,8840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,8840) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(426,8840) x common factors =2 x 1 = 2
LCM(426,8840) = ( 426 × 8840 ) / 2
LCM(426,8840) = 3765840 / 2
LCM(426,8840) = 1882920
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FAQs on GCF of Fractions of 2408/426, 6579/8840
1. What is the HCF of 2408,6579?
The HCF of 2408,6579 is 43
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 2408/426, 6579/8840?
Answer: GCF of Numerators as per given numbers 2408/426, 6579/8840 is
GCF of Numerators i.e. for 2408,6579 is 43
LCM of denominators i.e. for 426,8840 is 1882920.
Thus, GCF of Fractions is 43/1882920.Finally, GCF of Fractions for 2408/426, 6579/8840 is 43/1882920.