GCF of 1423/806, 8440/230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1423/806, 8440/230 i.e 1/92690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1423/806, 8440/230.
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 1423/806,8440/230?
Given fractions are 1423/806,8440/230
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 1423/806,8440/230, numerators are 1423,8440
Denominators are 806,230
The GCF of 1423,8440 is 1 .
LCM of 806,230 is 92690.
The greatest common factor of 1423/806,8440/230 = [GCF of 1423,8440]/[LCM of 806,230]= 1/92690
Therefore, the GCF of 1423/806,8440/230 is 1/92690.
To find the highest common factor of 1423,8440, we have to find the factors of both numbers and list the highest common factor.
The factors of 1423 are 1, 1423
The factors of 8440 are 1, 2, 4, 5, 8, 10, 20, 40, 211, 422, 844, 1055, 1688, 2110, 4220, 8440
The HCF of 1423,8440 is 1.
Lets's calculate GCF of 1423,8440
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1423,8440 By Matching Biggest Common Factor Method
Now, list down the factors of 1423
:1,1423
Now, list down the factors of 8440
:1,2,4,5,8,10,20,40,211,422,844,1055,1688,2110,4220,8440
Greatest Common Factor
We found the factors 1423,8440 . The biggest common factor number is the GCF number.
So the greatest common factor 1423,8440 is 1.
Lets's calculate LCM of 806,230
| 2 | 806, 230 |
| 403, 115 |
∴ So the LCM of the given numbers is 2 x 403 x 115 = 92690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92690
Therefore, the GCF of Fractions 1423/806,8440/230 is 1/92690
Least Common Multiple of 806,230 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 806,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,230) x common factors =2 x 1 = 2
LCM(806,230) = ( 806 × 230 ) / 2
LCM(806,230) = 185380 / 2
LCM(806,230) = 92690
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FAQs on GCF of Fractions of 1423/806, 8440/230
1. What is the HCF of 1423,8440?
The HCF of 1423,8440 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 1423/806, 8440/230?
Answer: GCF of Numerators as per given numbers 1423/806, 8440/230 is
GCF of Numerators i.e. for 1423,8440 is 1
LCM of denominators i.e. for 806,230 is 92690.
Thus, GCF of Fractions is 1/92690.Finally, GCF of Fractions for 1423/806, 8440/230 is 1/92690.