GCF of 5939/382, 2926/342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5939/382, 2926/342 i.e 1/65322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5939/382, 2926/342.
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 5939/382,2926/342?
Given fractions are 5939/382,2926/342
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 5939/382,2926/342, numerators are 5939,2926
Denominators are 382,342
The GCF of 5939,2926 is 1 .
LCM of 382,342 is 65322.
The greatest common factor of 5939/382,2926/342 = [GCF of 5939,2926]/[LCM of 382,342]= 1/65322
Therefore, the GCF of 5939/382,2926/342 is 1/65322.
To find the highest common factor of 5939,2926, we have to find the factors of both numbers and list the highest common factor.
The factors of 5939 are 1, 5939
The factors of 2926 are 1, 2, 7, 11, 14, 19, 22, 38, 77, 133, 154, 209, 266, 418, 1463, 2926
The HCF of 5939,2926 is 1.
Lets's calculate GCF of 5939,2926
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5939,2926 By Matching Biggest Common Factor Method
Now, list down the factors of 5939
:1,5939
Now, list down the factors of 2926
:1,2,7,11,14,19,22,38,77,133,154,209,266,418,1463,2926
Greatest Common Factor
We found the factors 5939,2926 . The biggest common factor number is the GCF number.
So the greatest common factor 5939,2926 is 1.
Lets's calculate LCM of 382,342
| 2 | 382, 342 |
| 191, 171 |
∴ So the LCM of the given numbers is 2 x 191 x 171 = 65322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65322
Therefore, the GCF of Fractions 5939/382,2926/342 is 1/65322
Least Common Multiple of 382,342 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 382,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,342) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,342) x common factors =2 x 1 = 2
LCM(382,342) = ( 382 × 342 ) / 2
LCM(382,342) = 130644 / 2
LCM(382,342) = 65322
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FAQs on GCF of Fractions of 5939/382, 2926/342
1. What is the HCF of 5939,2926?
The HCF of 5939,2926 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 5939/382, 2926/342?
Answer: GCF of Numerators as per given numbers 5939/382, 2926/342 is
GCF of Numerators i.e. for 5939,2926 is 1
LCM of denominators i.e. for 382,342 is 65322.
Thus, GCF of Fractions is 1/65322.Finally, GCF of Fractions for 5939/382, 2926/342 is 1/65322.