GCF of 5666/938, 1357/3744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5666/938, 1357/3744 i.e 1/1755936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5666/938, 1357/3744.
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 5666/938,1357/3744?
Given fractions are 5666/938,1357/3744
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 5666/938,1357/3744, numerators are 5666,1357
Denominators are 938,3744
The GCF of 5666,1357 is 1 .
LCM of 938,3744 is 1755936.
The greatest common factor of 5666/938,1357/3744 = [GCF of 5666,1357]/[LCM of 938,3744]= 1/1755936
Therefore, the GCF of 5666/938,1357/3744 is 1/1755936.
To find the highest common factor of 5666,1357, we have to find the factors of both numbers and list the highest common factor.
The factors of 5666 are 1, 2, 2833, 5666
The factors of 1357 are 1, 23, 59, 1357
The HCF of 5666,1357 is 1.
Lets's calculate GCF of 5666,1357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5666,1357 By Matching Biggest Common Factor Method
Now, list down the factors of 5666
:1,2,2833,5666
Now, list down the factors of 1357
:1,23,59,1357
Greatest Common Factor
We found the factors 5666,1357 . The biggest common factor number is the GCF number.
So the greatest common factor 5666,1357 is 1.
Lets's calculate LCM of 938,3744
| 2 | 938, 3744 |
| 469, 1872 |
∴ So the LCM of the given numbers is 2 x 469 x 1872 = 1755936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1755936
Therefore, the GCF of Fractions 5666/938,1357/3744 is 1/1755936
Least Common Multiple of 938,3744 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 938,3744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,3744) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(938,3744) x common factors =2 x 1 = 2
LCM(938,3744) = ( 938 × 3744 ) / 2
LCM(938,3744) = 3511872 / 2
LCM(938,3744) = 1755936
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FAQs on GCF of Fractions of 5666/938, 1357/3744
1. What is the HCF of 5666,1357?
The HCF of 5666,1357 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 5666/938, 1357/3744?
Answer: GCF of Numerators as per given numbers 5666/938, 1357/3744 is
GCF of Numerators i.e. for 5666,1357 is 1
LCM of denominators i.e. for 938,3744 is 1755936.
Thus, GCF of Fractions is 1/1755936.Finally, GCF of Fractions for 5666/938, 1357/3744 is 1/1755936.