GCF of 4409/696, 1227/5921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4409/696, 1227/5921 i.e 1/4121016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4409/696, 1227/5921.
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 4409/696,1227/5921?
Given fractions are 4409/696,1227/5921
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 4409/696,1227/5921, numerators are 4409,1227
Denominators are 696,5921
The GCF of 4409,1227 is 1 .
LCM of 696,5921 is 4121016.
The greatest common factor of 4409/696,1227/5921 = [GCF of 4409,1227]/[LCM of 696,5921]= 1/4121016
Therefore, the GCF of 4409/696,1227/5921 is 1/4121016.
To find the highest common factor of 4409,1227, we have to find the factors of both numbers and list the highest common factor.
The factors of 4409 are 1, 4409
The factors of 1227 are 1, 3, 409, 1227
The HCF of 4409,1227 is 1.
Lets's calculate GCF of 4409,1227
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4409,1227 By Matching Biggest Common Factor Method
Now, list down the factors of 4409
:1,4409
Now, list down the factors of 1227
:1,3,409,1227
Greatest Common Factor
We found the factors 4409,1227 . The biggest common factor number is the GCF number.
So the greatest common factor 4409,1227 is 1.
Lets's calculate LCM of 696,5921
Given numbers has no common factors except 1. So, there LCM is their product i.e 4121016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4121016
Therefore, the GCF of Fractions 4409/696,1227/5921 is 1/4121016
Least Common Multiple of 696,5921 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 696,5921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,5921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(696,5921) x common factors =1 x 1 = 1
LCM(696,5921) = ( 696 × 5921 ) / 1
LCM(696,5921) = 4121016 / 1
LCM(696,5921) = 4121016
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FAQs on GCF of Fractions of 4409/696, 1227/5921
1. What is the HCF of 4409,1227?
The HCF of 4409,1227 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 4409/696, 1227/5921?
Answer: GCF of Numerators as per given numbers 4409/696, 1227/5921 is
GCF of Numerators i.e. for 4409,1227 is 1
LCM of denominators i.e. for 696,5921 is 4121016.
Thus, GCF of Fractions is 1/4121016.Finally, GCF of Fractions for 4409/696, 1227/5921 is 1/4121016.