GCF of 2386/398, 2057/6277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2386/398, 2057/6277 i.e 1/2498246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2386/398, 2057/6277.
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 2386/398,2057/6277?
Given fractions are 2386/398,2057/6277
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 2386/398,2057/6277, numerators are 2386,2057
Denominators are 398,6277
The GCF of 2386,2057 is 1 .
LCM of 398,6277 is 2498246.
The greatest common factor of 2386/398,2057/6277 = [GCF of 2386,2057]/[LCM of 398,6277]= 1/2498246
Therefore, the GCF of 2386/398,2057/6277 is 1/2498246.
To find the highest common factor of 2386,2057, we have to find the factors of both numbers and list the highest common factor.
The factors of 2386 are 1, 2, 1193, 2386
The factors of 2057 are 1, 11, 17, 121, 187, 2057
The HCF of 2386,2057 is 1.
Lets's calculate GCF of 2386,2057
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2386,2057 By Matching Biggest Common Factor Method
Now, list down the factors of 2386
:1,2,1193,2386
Now, list down the factors of 2057
:1,11,17,121,187,2057
Greatest Common Factor
We found the factors 2386,2057 . The biggest common factor number is the GCF number.
So the greatest common factor 2386,2057 is 1.
Lets's calculate LCM of 398,6277
Given numbers has no common factors except 1. So, there LCM is their product i.e 2498246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2498246
Therefore, the GCF of Fractions 2386/398,2057/6277 is 1/2498246
Least Common Multiple of 398,6277 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 398,6277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,6277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(398,6277) x common factors =1 x 1 = 1
LCM(398,6277) = ( 398 × 6277 ) / 1
LCM(398,6277) = 2498246 / 1
LCM(398,6277) = 2498246
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FAQs on GCF of Fractions of 2386/398, 2057/6277
1. What is the HCF of 2386,2057?
The HCF of 2386,2057 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 2386/398, 2057/6277?
Answer: GCF of Numerators as per given numbers 2386/398, 2057/6277 is
GCF of Numerators i.e. for 2386,2057 is 1
LCM of denominators i.e. for 398,6277 is 2498246.
Thus, GCF of Fractions is 1/2498246.Finally, GCF of Fractions for 2386/398, 2057/6277 is 1/2498246.