GCF of 1721/438, 9293/3991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1721/438, 9293/3991 i.e 1/1748058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1721/438, 9293/3991.
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 1721/438,9293/3991?
Given fractions are 1721/438,9293/3991
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 1721/438,9293/3991, numerators are 1721,9293
Denominators are 438,3991
The GCF of 1721,9293 is 1 .
LCM of 438,3991 is 1748058.
The greatest common factor of 1721/438,9293/3991 = [GCF of 1721,9293]/[LCM of 438,3991]= 1/1748058
Therefore, the GCF of 1721/438,9293/3991 is 1/1748058.
To find the highest common factor of 1721,9293, we have to find the factors of both numbers and list the highest common factor.
The factors of 1721 are 1, 1721
The factors of 9293 are 1, 9293
The HCF of 1721,9293 is 1.
Lets's calculate GCF of 1721,9293
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1721,9293 By Matching Biggest Common Factor Method
Now, list down the factors of 1721
:1,1721
Now, list down the factors of 9293
:1,9293
Greatest Common Factor
We found the factors 1721,9293 . The biggest common factor number is the GCF number.
So the greatest common factor 1721,9293 is 1.
Lets's calculate LCM of 438,3991
Given numbers has no common factors except 1. So, there LCM is their product i.e 1748058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1748058
Therefore, the GCF of Fractions 1721/438,9293/3991 is 1/1748058
Least Common Multiple of 438,3991 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 438,3991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,3991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,3991) x common factors =1 x 1 = 1
LCM(438,3991) = ( 438 × 3991 ) / 1
LCM(438,3991) = 1748058 / 1
LCM(438,3991) = 1748058
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FAQs on GCF of Fractions of 1721/438, 9293/3991
1. What is the HCF of 1721,9293?
The HCF of 1721,9293 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 1721/438, 9293/3991?
Answer: GCF of Numerators as per given numbers 1721/438, 9293/3991 is
GCF of Numerators i.e. for 1721,9293 is 1
LCM of denominators i.e. for 438,3991 is 1748058.
Thus, GCF of Fractions is 1/1748058.Finally, GCF of Fractions for 1721/438, 9293/3991 is 1/1748058.