GCF of 839/306, 857/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 839/306, 857/410 i.e 1/62730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 839/306, 857/410.
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 839/306,857/410?
Given fractions are 839/306,857/410
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 839/306,857/410, numerators are 839,857
Denominators are 306,410
The GCF of 839,857 is 1 .
LCM of 306,410 is 62730.
The greatest common factor of 839/306,857/410 = [GCF of 839,857]/[LCM of 306,410]= 1/62730
Therefore, the GCF of 839/306,857/410 is 1/62730.
To find the highest common factor of 839,857, we have to find the factors of both numbers and list the highest common factor.
The factors of 839 are 1, 839
The factors of 857 are 1, 857
The HCF of 839,857 is 1.
Lets's calculate GCF of 839,857
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 839,857 By Matching Biggest Common Factor Method
Now, list down the factors of 839
:1,839
Now, list down the factors of 857
:1,857
Greatest Common Factor
We found the factors 839,857 . The biggest common factor number is the GCF number.
So the greatest common factor 839,857 is 1.
Lets's calculate LCM of 306,410
| 2 | 306, 410 |
| 153, 205 |
∴ So the LCM of the given numbers is 2 x 153 x 205 = 62730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62730
Therefore, the GCF of Fractions 839/306,857/410 is 1/62730
Least Common Multiple of 306,410 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 306,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,410) x common factors =2 x 1 = 2
LCM(306,410) = ( 306 × 410 ) / 2
LCM(306,410) = 125460 / 2
LCM(306,410) = 62730
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FAQs on GCF of Fractions of 839/306, 857/410
1. What is the HCF of 839,857?
The HCF of 839,857 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 839/306, 857/410?
Answer: GCF of Numerators as per given numbers 839/306, 857/410 is
GCF of Numerators i.e. for 839,857 is 1
LCM of denominators i.e. for 306,410 is 62730.
Thus, GCF of Fractions is 1/62730.Finally, GCF of Fractions for 839/306, 857/410 is 1/62730.