GCF of 9781/818, 7940/863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9781/818, 7940/863 i.e 1/705934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9781/818, 7940/863.
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 9781/818,7940/863?
Given fractions are 9781/818,7940/863
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 9781/818,7940/863, numerators are 9781,7940
Denominators are 818,863
The GCF of 9781,7940 is 1 .
LCM of 818,863 is 705934.
The greatest common factor of 9781/818,7940/863 = [GCF of 9781,7940]/[LCM of 818,863]= 1/705934
Therefore, the GCF of 9781/818,7940/863 is 1/705934.
To find the highest common factor of 9781,7940, we have to find the factors of both numbers and list the highest common factor.
The factors of 9781 are 1, 9781
The factors of 7940 are 1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940
The HCF of 9781,7940 is 1.
Lets's calculate GCF of 9781,7940
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9781,7940 By Matching Biggest Common Factor Method
Now, list down the factors of 9781
:1,9781
Now, list down the factors of 7940
:1,2,4,5,10,20,397,794,1588,1985,3970,7940
Greatest Common Factor
We found the factors 9781,7940 . The biggest common factor number is the GCF number.
So the greatest common factor 9781,7940 is 1.
Lets's calculate LCM of 818,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 705934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/705934
Therefore, the GCF of Fractions 9781/818,7940/863 is 1/705934
Least Common Multiple of 818,863 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 818,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(818,863) x common factors =1 x 1 = 1
LCM(818,863) = ( 818 × 863 ) / 1
LCM(818,863) = 705934 / 1
LCM(818,863) = 705934
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FAQs on GCF of Fractions of 9781/818, 7940/863
1. What is the HCF of 9781,7940?
The HCF of 9781,7940 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 9781/818, 7940/863?
Answer: GCF of Numerators as per given numbers 9781/818, 7940/863 is
GCF of Numerators i.e. for 9781,7940 is 1
LCM of denominators i.e. for 818,863 is 705934.
Thus, GCF of Fractions is 1/705934.Finally, GCF of Fractions for 9781/818, 7940/863 is 1/705934.