GCF of 8849/140, 8060/2406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8849/140, 8060/2406 i.e 1/168420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8849/140, 8060/2406.
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 8849/140,8060/2406?
Given fractions are 8849/140,8060/2406
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 8849/140,8060/2406, numerators are 8849,8060
Denominators are 140,2406
The GCF of 8849,8060 is 1 .
LCM of 140,2406 is 168420.
The greatest common factor of 8849/140,8060/2406 = [GCF of 8849,8060]/[LCM of 140,2406]= 1/168420
Therefore, the GCF of 8849/140,8060/2406 is 1/168420.
To find the highest common factor of 8849,8060, we have to find the factors of both numbers and list the highest common factor.
The factors of 8849 are 1, 8849
The factors of 8060 are 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060
The HCF of 8849,8060 is 1.
Lets's calculate GCF of 8849,8060
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8849,8060 By Matching Biggest Common Factor Method
Now, list down the factors of 8849
:1,8849
Now, list down the factors of 8060
:1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060
Greatest Common Factor
We found the factors 8849,8060 . The biggest common factor number is the GCF number.
So the greatest common factor 8849,8060 is 1.
Lets's calculate LCM of 140,2406
| 2 | 140, 2406 |
| 70, 1203 |
∴ So the LCM of the given numbers is 2 x 70 x 1203 = 168420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168420
Therefore, the GCF of Fractions 8849/140,8060/2406 is 1/168420
Least Common Multiple of 140,2406 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 140,2406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,2406) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(140,2406) x common factors =2 x 1 = 2
LCM(140,2406) = ( 140 × 2406 ) / 2
LCM(140,2406) = 336840 / 2
LCM(140,2406) = 168420
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FAQs on GCF of Fractions of 8849/140, 8060/2406
1. What is the HCF of 8849,8060?
The HCF of 8849,8060 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 8849/140, 8060/2406?
Answer: GCF of Numerators as per given numbers 8849/140, 8060/2406 is
GCF of Numerators i.e. for 8849,8060 is 1
LCM of denominators i.e. for 140,2406 is 168420.
Thus, GCF of Fractions is 1/168420.Finally, GCF of Fractions for 8849/140, 8060/2406 is 1/168420.