GCF of 8821/109, 1031/590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8821/109, 1031/590 i.e 1/64310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8821/109, 1031/590.
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 8821/109,1031/590?
Given fractions are 8821/109,1031/590
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 8821/109,1031/590, numerators are 8821,1031
Denominators are 109,590
The GCF of 8821,1031 is 1 .
LCM of 109,590 is 64310.
The greatest common factor of 8821/109,1031/590 = [GCF of 8821,1031]/[LCM of 109,590]= 1/64310
Therefore, the GCF of 8821/109,1031/590 is 1/64310.
To find the highest common factor of 8821,1031, we have to find the factors of both numbers and list the highest common factor.
The factors of 8821 are 1, 8821
The factors of 1031 are 1, 1031
The HCF of 8821,1031 is 1.
Lets's calculate GCF of 8821,1031
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8821,1031 By Matching Biggest Common Factor Method
Now, list down the factors of 8821
:1,8821
Now, list down the factors of 1031
:1,1031
Greatest Common Factor
We found the factors 8821,1031 . The biggest common factor number is the GCF number.
So the greatest common factor 8821,1031 is 1.
Lets's calculate LCM of 109,590
Given numbers has no common factors except 1. So, there LCM is their product i.e 64310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64310
Therefore, the GCF of Fractions 8821/109,1031/590 is 1/64310
Least Common Multiple of 109,590 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 109,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,590) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,590) x common factors =1 x 1 = 1
LCM(109,590) = ( 109 × 590 ) / 1
LCM(109,590) = 64310 / 1
LCM(109,590) = 64310
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FAQs on GCF of Fractions of 8821/109, 1031/590
1. What is the HCF of 8821,1031?
The HCF of 8821,1031 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 8821/109, 1031/590?
Answer: GCF of Numerators as per given numbers 8821/109, 1031/590 is
GCF of Numerators i.e. for 8821,1031 is 1
LCM of denominators i.e. for 109,590 is 64310.
Thus, GCF of Fractions is 1/64310.Finally, GCF of Fractions for 8821/109, 1031/590 is 1/64310.