GCF of 5641/931, 9221/9833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5641/931, 9221/9833 i.e 1/9154523 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5641/931, 9221/9833.
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 5641/931,9221/9833?
Given fractions are 5641/931,9221/9833
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 5641/931,9221/9833, numerators are 5641,9221
Denominators are 931,9833
The GCF of 5641,9221 is 1 .
LCM of 931,9833 is 9154523.
The greatest common factor of 5641/931,9221/9833 = [GCF of 5641,9221]/[LCM of 931,9833]= 1/9154523
Therefore, the GCF of 5641/931,9221/9833 is 1/9154523.
To find the highest common factor of 5641,9221, we have to find the factors of both numbers and list the highest common factor.
The factors of 5641 are 1, 5641
The factors of 9221 are 1, 9221
The HCF of 5641,9221 is 1.
Lets's calculate GCF of 5641,9221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5641,9221 By Matching Biggest Common Factor Method
Now, list down the factors of 5641
:1,5641
Now, list down the factors of 9221
:1,9221
Greatest Common Factor
We found the factors 5641,9221 . The biggest common factor number is the GCF number.
So the greatest common factor 5641,9221 is 1.
Lets's calculate LCM of 931,9833
Given numbers has no common factors except 1. So, there LCM is their product i.e 9154523
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9154523
Therefore, the GCF of Fractions 5641/931,9221/9833 is 1/9154523
Least Common Multiple of 931,9833 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 931,9833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,9833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,9833) x common factors =1 x 1 = 1
LCM(931,9833) = ( 931 × 9833 ) / 1
LCM(931,9833) = 9154523 / 1
LCM(931,9833) = 9154523
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FAQs on GCF of Fractions of 5641/931, 9221/9833
1. What is the HCF of 5641,9221?
The HCF of 5641,9221 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 5641/931, 9221/9833?
Answer: GCF of Numerators as per given numbers 5641/931, 9221/9833 is
GCF of Numerators i.e. for 5641,9221 is 1
LCM of denominators i.e. for 931,9833 is 9154523.
Thus, GCF of Fractions is 1/9154523.Finally, GCF of Fractions for 5641/931, 9221/9833 is 1/9154523.