GCF of 5899/206, 7415/1147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5899/206, 7415/1147 i.e 1/236282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5899/206, 7415/1147.
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 5899/206,7415/1147?
Given fractions are 5899/206,7415/1147
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 5899/206,7415/1147, numerators are 5899,7415
Denominators are 206,1147
The GCF of 5899,7415 is 1 .
LCM of 206,1147 is 236282.
The greatest common factor of 5899/206,7415/1147 = [GCF of 5899,7415]/[LCM of 206,1147]= 1/236282
Therefore, the GCF of 5899/206,7415/1147 is 1/236282.
To find the highest common factor of 5899,7415, we have to find the factors of both numbers and list the highest common factor.
The factors of 5899 are 1, 17, 347, 5899
The factors of 7415 are 1, 5, 1483, 7415
The HCF of 5899,7415 is 1.
Lets's calculate GCF of 5899,7415
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5899,7415 By Matching Biggest Common Factor Method
Now, list down the factors of 5899
:1,17,347,5899
Now, list down the factors of 7415
:1,5,1483,7415
Greatest Common Factor
We found the factors 5899,7415 . The biggest common factor number is the GCF number.
So the greatest common factor 5899,7415 is 1.
Lets's calculate LCM of 206,1147
Given numbers has no common factors except 1. So, there LCM is their product i.e 236282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236282
Therefore, the GCF of Fractions 5899/206,7415/1147 is 1/236282
Least Common Multiple of 206,1147 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 206,1147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,1147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,1147) x common factors =1 x 1 = 1
LCM(206,1147) = ( 206 × 1147 ) / 1
LCM(206,1147) = 236282 / 1
LCM(206,1147) = 236282
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FAQs on GCF of Fractions of 5899/206, 7415/1147
1. What is the HCF of 5899,7415?
The HCF of 5899,7415 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 5899/206, 7415/1147?
Answer: GCF of Numerators as per given numbers 5899/206, 7415/1147 is
GCF of Numerators i.e. for 5899,7415 is 1
LCM of denominators i.e. for 206,1147 is 236282.
Thus, GCF of Fractions is 1/236282.Finally, GCF of Fractions for 5899/206, 7415/1147 is 1/236282.