GCF of 814/24, 853/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 814/24, 853/382 i.e 1/4584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 814/24, 853/382.
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 814/24,853/382?
Given fractions are 814/24,853/382
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 814/24,853/382, numerators are 814,853
Denominators are 24,382
The GCF of 814,853 is 1 .
LCM of 24,382 is 4584.
The greatest common factor of 814/24,853/382 = [GCF of 814,853]/[LCM of 24,382]= 1/4584
Therefore, the GCF of 814/24,853/382 is 1/4584.
To find the highest common factor of 814,853, we have to find the factors of both numbers and list the highest common factor.
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814
The factors of 853 are 1, 853
The HCF of 814,853 is 1.
Lets's calculate GCF of 814,853
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 814,853 By Matching Biggest Common Factor Method
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Now, list down the factors of 853
:1,853
Greatest Common Factor
We found the factors 814,853 . The biggest common factor number is the GCF number.
So the greatest common factor 814,853 is 1.
Lets's calculate LCM of 24,382
| 2 | 24, 382 |
| 12, 191 |
∴ So the LCM of the given numbers is 2 x 12 x 191 = 4584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4584
Therefore, the GCF of Fractions 814/24,853/382 is 1/4584
Least Common Multiple of 24,382 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 24,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(24,382) x common factors =2 x 1 = 2
LCM(24,382) = ( 24 × 382 ) / 2
LCM(24,382) = 9168 / 2
LCM(24,382) = 4584
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FAQs on GCF of Fractions of 814/24, 853/382
1. What is the HCF of 814,853?
The HCF of 814,853 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 814/24, 853/382?
Answer: GCF of Numerators as per given numbers 814/24, 853/382 is
GCF of Numerators i.e. for 814,853 is 1
LCM of denominators i.e. for 24,382 is 4584.
Thus, GCF of Fractions is 1/4584.Finally, GCF of Fractions for 814/24, 853/382 is 1/4584.