GCF of 39/30, 386/41, 394/881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/30, 386/41, 394/881 i.e 1/1083630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/30, 386/41, 394/881.
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 39/30,386/41,394/881?
Given fractions are 39/30,386/41,394/881
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 39/30,386/41,394/881, numerators are 39,386,394
Denominators are 30,41,881
The GCF of 39,386,394 is 1 .
LCM of 30,41,881 is 1083630.
The greatest common factor of 39/30,386/41,394/881 = [GCF of 39,386,394]/[LCM of 30,41,881]= 1/1083630
Therefore, the GCF of 39/30,386/41,394/881 is 1/1083630.
To find the highest common factor of 39,386,394, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 386 are 1, 2, 193, 386
The factors of 394 are 1, 2, 197, 394
The HCF of 39,386,394 is 1.
Lets's calculate GCF of 39,386,394
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,386,394 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 386
:1,2,193,386
Now, list down the factors of 394
:1,2,197,394
Greatest Common Factor
We found the factors 39,386,394 . The biggest common factor number is the GCF number.
So the greatest common factor 39,386,394 is 1.
Lets's calculate LCM of 30,41,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 1083630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1083630
Therefore, the GCF of Fractions 39/30,386/41,394/881 is 1/1083630
Least Common Multiple of 30,41,881 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 30,41,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,41,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,41,881) x common factors =1 x 1 = 1
LCM(30,41,881) = ( 30 × 41 × 881 ) / 1
LCM(30,41,881) = 1083630 / 1
LCM(30,41,881) = 1083630
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FAQs on GCF of Fractions of 39/30, 386/41, 394/881
1. What is the HCF of 39,386,394?
The HCF of 39,386,394 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 39/30, 386/41, 394/881?
Answer: GCF of Numerators as per given numbers 39/30, 386/41, 394/881 is
GCF of Numerators i.e. for 39,386,394 is 1
LCM of denominators i.e. for 30,41,881 is 1083630.
Thus, GCF of Fractions is 1/1083630.Finally, GCF of Fractions for 39/30, 386/41, 394/881 is 1/1083630.