GCF of 5947/417, 7441/3635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5947/417, 7441/3635 i.e 1/1515795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5947/417, 7441/3635.
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 5947/417,7441/3635?
Given fractions are 5947/417,7441/3635
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 5947/417,7441/3635, numerators are 5947,7441
Denominators are 417,3635
The GCF of 5947,7441 is 1 .
LCM of 417,3635 is 1515795.
The greatest common factor of 5947/417,7441/3635 = [GCF of 5947,7441]/[LCM of 417,3635]= 1/1515795
Therefore, the GCF of 5947/417,7441/3635 is 1/1515795.
To find the highest common factor of 5947,7441, we have to find the factors of both numbers and list the highest common factor.
The factors of 5947 are 1, 19, 313, 5947
The factors of 7441 are 1, 7, 1063, 7441
The HCF of 5947,7441 is 1.
Lets's calculate GCF of 5947,7441
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5947,7441 By Matching Biggest Common Factor Method
Now, list down the factors of 5947
:1,19,313,5947
Now, list down the factors of 7441
:1,7,1063,7441
Greatest Common Factor
We found the factors 5947,7441 . The biggest common factor number is the GCF number.
So the greatest common factor 5947,7441 is 1.
Lets's calculate LCM of 417,3635
Given numbers has no common factors except 1. So, there LCM is their product i.e 1515795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1515795
Therefore, the GCF of Fractions 5947/417,7441/3635 is 1/1515795
Least Common Multiple of 417,3635 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 417,3635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,3635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,3635) x common factors =1 x 1 = 1
LCM(417,3635) = ( 417 × 3635 ) / 1
LCM(417,3635) = 1515795 / 1
LCM(417,3635) = 1515795
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FAQs on GCF of Fractions of 5947/417, 7441/3635
1. What is the HCF of 5947,7441?
The HCF of 5947,7441 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 5947/417, 7441/3635?
Answer: GCF of Numerators as per given numbers 5947/417, 7441/3635 is
GCF of Numerators i.e. for 5947,7441 is 1
LCM of denominators i.e. for 417,3635 is 1515795.
Thus, GCF of Fractions is 1/1515795.Finally, GCF of Fractions for 5947/417, 7441/3635 is 1/1515795.