GCF of 890/108, 5383/971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 890/108, 5383/971 i.e 1/104868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/108, 5383/971.
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 890/108,5383/971?
Given fractions are 890/108,5383/971
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 890/108,5383/971, numerators are 890,5383
Denominators are 108,971
The GCF of 890,5383 is 1 .
LCM of 108,971 is 104868.
The greatest common factor of 890/108,5383/971 = [GCF of 890,5383]/[LCM of 108,971]= 1/104868
Therefore, the GCF of 890/108,5383/971 is 1/104868.
To find the highest common factor of 890,5383, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 5383 are 1, 7, 769, 5383
The HCF of 890,5383 is 1.
Lets's calculate GCF of 890,5383
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 890,5383 By Matching Biggest Common Factor Method
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 5383
:1,7,769,5383
Greatest Common Factor
We found the factors 890,5383 . The biggest common factor number is the GCF number.
So the greatest common factor 890,5383 is 1.
Lets's calculate LCM of 108,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 104868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104868
Therefore, the GCF of Fractions 890/108,5383/971 is 1/104868
Least Common Multiple of 108,971 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 108,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,971) x common factors =1 x 1 = 1
LCM(108,971) = ( 108 × 971 ) / 1
LCM(108,971) = 104868 / 1
LCM(108,971) = 104868
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FAQs on GCF of Fractions of 890/108, 5383/971
1. What is the HCF of 890,5383?
The HCF of 890,5383 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 890/108, 5383/971?
Answer: GCF of Numerators as per given numbers 890/108, 5383/971 is
GCF of Numerators i.e. for 890,5383 is 1
LCM of denominators i.e. for 108,971 is 104868.
Thus, GCF of Fractions is 1/104868.Finally, GCF of Fractions for 890/108, 5383/971 is 1/104868.