GCF of 845/309, 1938/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 845/309, 1938/206 i.e 1/618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/309, 1938/206.
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 845/309,1938/206?
Given fractions are 845/309,1938/206
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 845/309,1938/206, numerators are 845,1938
Denominators are 309,206
The GCF of 845,1938 is 1 .
LCM of 309,206 is 618.
The greatest common factor of 845/309,1938/206 = [GCF of 845,1938]/[LCM of 309,206]= 1/618
Therefore, the GCF of 845/309,1938/206 is 1/618.
To find the highest common factor of 845,1938, we have to find the factors of both numbers and list the highest common factor.
The factors of 845 are 1, 5, 13, 65, 169, 845
The factors of 1938 are 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938
The HCF of 845,1938 is 1.
Lets's calculate GCF of 845,1938
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 845,1938 By Matching Biggest Common Factor Method
Now, list down the factors of 845
:1,5,13,65,169,845
Now, list down the factors of 1938
:1,2,3,6,17,19,34,38,51,57,102,114,323,646,969,1938
Greatest Common Factor
We found the factors 845,1938 . The biggest common factor number is the GCF number.
So the greatest common factor 845,1938 is 1.
Lets's calculate LCM of 309,206
| 103 | 309, 206 |
| 3, 2 |
∴ So the LCM of the given numbers is 103 x 3 x 2 = 618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618
Therefore, the GCF of Fractions 845/309,1938/206 is 1/618
Least Common Multiple of 309,206 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 309,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,206) = 103
common factors(in case of two or more numbers have common factors) = 1
GCF(309,206) x common factors =103 x 1 = 103
LCM(309,206) = ( 309 × 206 ) / 103
LCM(309,206) = 63654 / 103
LCM(309,206) = 618
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FAQs on GCF of Fractions of 845/309, 1938/206
1. What is the HCF of 845,1938?
The HCF of 845,1938 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 845/309, 1938/206?
Answer: GCF of Numerators as per given numbers 845/309, 1938/206 is
GCF of Numerators i.e. for 845,1938 is 1
LCM of denominators i.e. for 309,206 is 618.
Thus, GCF of Fractions is 1/618.Finally, GCF of Fractions for 845/309, 1938/206 is 1/618.