GCF of 3721/109, 7233/1147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3721/109, 7233/1147 i.e 1/125023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3721/109, 7233/1147.
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 3721/109,7233/1147?
Given fractions are 3721/109,7233/1147
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 3721/109,7233/1147, numerators are 3721,7233
Denominators are 109,1147
The GCF of 3721,7233 is 1 .
LCM of 109,1147 is 125023.
The greatest common factor of 3721/109,7233/1147 = [GCF of 3721,7233]/[LCM of 109,1147]= 1/125023
Therefore, the GCF of 3721/109,7233/1147 is 1/125023.
To find the highest common factor of 3721,7233, we have to find the factors of both numbers and list the highest common factor.
The factors of 3721 are 1, 61, 3721
The factors of 7233 are 1, 3, 2411, 7233
The HCF of 3721,7233 is 1.
Lets's calculate GCF of 3721,7233
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3721,7233 By Matching Biggest Common Factor Method
Now, list down the factors of 3721
:1,61,3721
Now, list down the factors of 7233
:1,3,2411,7233
Greatest Common Factor
We found the factors 3721,7233 . The biggest common factor number is the GCF number.
So the greatest common factor 3721,7233 is 1.
Lets's calculate LCM of 109,1147
Given numbers has no common factors except 1. So, there LCM is their product i.e 125023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125023
Therefore, the GCF of Fractions 3721/109,7233/1147 is 1/125023
Least Common Multiple of 109,1147 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 109,1147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,1147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,1147) x common factors =1 x 1 = 1
LCM(109,1147) = ( 109 × 1147 ) / 1
LCM(109,1147) = 125023 / 1
LCM(109,1147) = 125023
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FAQs on GCF of Fractions of 3721/109, 7233/1147
1. What is the HCF of 3721,7233?
The HCF of 3721,7233 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 3721/109, 7233/1147?
Answer: GCF of Numerators as per given numbers 3721/109, 7233/1147 is
GCF of Numerators i.e. for 3721,7233 is 1
LCM of denominators i.e. for 109,1147 is 125023.
Thus, GCF of Fractions is 1/125023.Finally, GCF of Fractions for 3721/109, 7233/1147 is 1/125023.