GCF of 437/191, 1341/4470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 437/191, 1341/4470 i.e 1/853770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/191, 1341/4470.
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 437/191,1341/4470?
Given fractions are 437/191,1341/4470
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 437/191,1341/4470, numerators are 437,1341
Denominators are 191,4470
The GCF of 437,1341 is 1 .
LCM of 191,4470 is 853770.
The greatest common factor of 437/191,1341/4470 = [GCF of 437,1341]/[LCM of 191,4470]= 1/853770
Therefore, the GCF of 437/191,1341/4470 is 1/853770.
To find the highest common factor of 437,1341, we have to find the factors of both numbers and list the highest common factor.
The factors of 437 are 1, 19, 23, 437
The factors of 1341 are 1, 3, 9, 149, 447, 1341
The HCF of 437,1341 is 1.
Lets's calculate GCF of 437,1341
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 437,1341 By Matching Biggest Common Factor Method
Now, list down the factors of 437
:1,19,23,437
Now, list down the factors of 1341
:1,3,9,149,447,1341
Greatest Common Factor
We found the factors 437,1341 . The biggest common factor number is the GCF number.
So the greatest common factor 437,1341 is 1.
Lets's calculate LCM of 191,4470
Given numbers has no common factors except 1. So, there LCM is their product i.e 853770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/853770
Therefore, the GCF of Fractions 437/191,1341/4470 is 1/853770
Least Common Multiple of 191,4470 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 191,4470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,4470) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,4470) x common factors =1 x 1 = 1
LCM(191,4470) = ( 191 × 4470 ) / 1
LCM(191,4470) = 853770 / 1
LCM(191,4470) = 853770
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FAQs on GCF of Fractions of 437/191, 1341/4470
1. What is the HCF of 437,1341?
The HCF of 437,1341 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 437/191, 1341/4470?
Answer: GCF of Numerators as per given numbers 437/191, 1341/4470 is
GCF of Numerators i.e. for 437,1341 is 1
LCM of denominators i.e. for 191,4470 is 853770.
Thus, GCF of Fractions is 1/853770.Finally, GCF of Fractions for 437/191, 1341/4470 is 1/853770.