GCF of 6938/301, 5341/8656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6938/301, 5341/8656 i.e 1/2605456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6938/301, 5341/8656.
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 6938/301,5341/8656?
Given fractions are 6938/301,5341/8656
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 6938/301,5341/8656, numerators are 6938,5341
Denominators are 301,8656
The GCF of 6938,5341 is 1 .
LCM of 301,8656 is 2605456.
The greatest common factor of 6938/301,5341/8656 = [GCF of 6938,5341]/[LCM of 301,8656]= 1/2605456
Therefore, the GCF of 6938/301,5341/8656 is 1/2605456.
To find the highest common factor of 6938,5341, we have to find the factors of both numbers and list the highest common factor.
The factors of 6938 are 1, 2, 3469, 6938
The factors of 5341 are 1, 7, 49, 109, 763, 5341
The HCF of 6938,5341 is 1.
Lets's calculate GCF of 6938,5341
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6938,5341 By Matching Biggest Common Factor Method
Now, list down the factors of 6938
:1,2,3469,6938
Now, list down the factors of 5341
:1,7,49,109,763,5341
Greatest Common Factor
We found the factors 6938,5341 . The biggest common factor number is the GCF number.
So the greatest common factor 6938,5341 is 1.
Lets's calculate LCM of 301,8656
Given numbers has no common factors except 1. So, there LCM is their product i.e 2605456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2605456
Therefore, the GCF of Fractions 6938/301,5341/8656 is 1/2605456
Least Common Multiple of 301,8656 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 301,8656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,8656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,8656) x common factors =1 x 1 = 1
LCM(301,8656) = ( 301 × 8656 ) / 1
LCM(301,8656) = 2605456 / 1
LCM(301,8656) = 2605456
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FAQs on GCF of Fractions of 6938/301, 5341/8656
1. What is the HCF of 6938,5341?
The HCF of 6938,5341 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 6938/301, 5341/8656?
Answer: GCF of Numerators as per given numbers 6938/301, 5341/8656 is
GCF of Numerators i.e. for 6938,5341 is 1
LCM of denominators i.e. for 301,8656 is 2605456.
Thus, GCF of Fractions is 1/2605456.Finally, GCF of Fractions for 6938/301, 5341/8656 is 1/2605456.