GCF of 5683/891, 7226/3437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5683/891, 7226/3437 i.e 1/3062367 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5683/891, 7226/3437.
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 5683/891,7226/3437?
Given fractions are 5683/891,7226/3437
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 5683/891,7226/3437, numerators are 5683,7226
Denominators are 891,3437
The GCF of 5683,7226 is 1 .
LCM of 891,3437 is 3062367.
The greatest common factor of 5683/891,7226/3437 = [GCF of 5683,7226]/[LCM of 891,3437]= 1/3062367
Therefore, the GCF of 5683/891,7226/3437 is 1/3062367.
To find the highest common factor of 5683,7226, we have to find the factors of both numbers and list the highest common factor.
The factors of 5683 are 1, 5683
The factors of 7226 are 1, 2, 3613, 7226
The HCF of 5683,7226 is 1.
Lets's calculate GCF of 5683,7226
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5683,7226 By Matching Biggest Common Factor Method
Now, list down the factors of 5683
:1,5683
Now, list down the factors of 7226
:1,2,3613,7226
Greatest Common Factor
We found the factors 5683,7226 . The biggest common factor number is the GCF number.
So the greatest common factor 5683,7226 is 1.
Lets's calculate LCM of 891,3437
Given numbers has no common factors except 1. So, there LCM is their product i.e 3062367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3062367
Therefore, the GCF of Fractions 5683/891,7226/3437 is 1/3062367
Least Common Multiple of 891,3437 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 891,3437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,3437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(891,3437) x common factors =1 x 1 = 1
LCM(891,3437) = ( 891 × 3437 ) / 1
LCM(891,3437) = 3062367 / 1
LCM(891,3437) = 3062367
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FAQs on GCF of Fractions of 5683/891, 7226/3437
1. What is the HCF of 5683,7226?
The HCF of 5683,7226 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 5683/891, 7226/3437?
Answer: GCF of Numerators as per given numbers 5683/891, 7226/3437 is
GCF of Numerators i.e. for 5683,7226 is 1
LCM of denominators i.e. for 891,3437 is 3062367.
Thus, GCF of Fractions is 1/3062367.Finally, GCF of Fractions for 5683/891, 7226/3437 is 1/3062367.