GCF of 8179/963, 3992/806
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8179/963, 3992/806 i.e 1/776178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8179/963, 3992/806.
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 8179/963,3992/806?
Given fractions are 8179/963,3992/806
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 8179/963,3992/806, numerators are 8179,3992
Denominators are 963,806
The GCF of 8179,3992 is 1 .
LCM of 963,806 is 776178.
The greatest common factor of 8179/963,3992/806 = [GCF of 8179,3992]/[LCM of 963,806]= 1/776178
Therefore, the GCF of 8179/963,3992/806 is 1/776178.
To find the highest common factor of 8179,3992, we have to find the factors of both numbers and list the highest common factor.
The factors of 8179 are 1, 8179
The factors of 3992 are 1, 2, 4, 8, 499, 998, 1996, 3992
The HCF of 8179,3992 is 1.
Lets's calculate GCF of 8179,3992
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8179,3992 By Matching Biggest Common Factor Method
Now, list down the factors of 8179
:1,8179
Now, list down the factors of 3992
:1,2,4,8,499,998,1996,3992
Greatest Common Factor
We found the factors 8179,3992 . The biggest common factor number is the GCF number.
So the greatest common factor 8179,3992 is 1.
Lets's calculate LCM of 963,806
Given numbers has no common factors except 1. So, there LCM is their product i.e 776178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/776178
Therefore, the GCF of Fractions 8179/963,3992/806 is 1/776178
Least Common Multiple of 963,806 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 963,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(963,806) x common factors =1 x 1 = 1
LCM(963,806) = ( 963 × 806 ) / 1
LCM(963,806) = 776178 / 1
LCM(963,806) = 776178
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FAQs on GCF of Fractions of 8179/963, 3992/806
1. What is the HCF of 8179,3992?
The HCF of 8179,3992 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 8179/963, 3992/806?
Answer: GCF of Numerators as per given numbers 8179/963, 3992/806 is
GCF of Numerators i.e. for 8179,3992 is 1
LCM of denominators i.e. for 963,806 is 776178.
Thus, GCF of Fractions is 1/776178.Finally, GCF of Fractions for 8179/963, 3992/806 is 1/776178.