GCF of 9793/802, 6500/908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9793/802, 6500/908 i.e 1/364108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9793/802, 6500/908.
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 9793/802,6500/908?
Given fractions are 9793/802,6500/908
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 9793/802,6500/908, numerators are 9793,6500
Denominators are 802,908
The GCF of 9793,6500 is 1 .
LCM of 802,908 is 364108.
The greatest common factor of 9793/802,6500/908 = [GCF of 9793,6500]/[LCM of 802,908]= 1/364108
Therefore, the GCF of 9793/802,6500/908 is 1/364108.
To find the highest common factor of 9793,6500, we have to find the factors of both numbers and list the highest common factor.
The factors of 9793 are 1, 7, 1399, 9793
The factors of 6500 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500
The HCF of 9793,6500 is 1.
Lets's calculate GCF of 9793,6500
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9793,6500 By Matching Biggest Common Factor Method
Now, list down the factors of 9793
:1,7,1399,9793
Now, list down the factors of 6500
:1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500
Greatest Common Factor
We found the factors 9793,6500 . The biggest common factor number is the GCF number.
So the greatest common factor 9793,6500 is 1.
Lets's calculate LCM of 802,908
| 2 | 802, 908 |
| 401, 454 |
∴ So the LCM of the given numbers is 2 x 401 x 454 = 364108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/364108
Therefore, the GCF of Fractions 9793/802,6500/908 is 1/364108
Least Common Multiple of 802,908 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 802,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,908) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,908) x common factors =2 x 1 = 2
LCM(802,908) = ( 802 × 908 ) / 2
LCM(802,908) = 728216 / 2
LCM(802,908) = 364108
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FAQs on GCF of Fractions of 9793/802, 6500/908
1. What is the HCF of 9793,6500?
The HCF of 9793,6500 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 9793/802, 6500/908?
Answer: GCF of Numerators as per given numbers 9793/802, 6500/908 is
GCF of Numerators i.e. for 9793,6500 is 1
LCM of denominators i.e. for 802,908 is 364108.
Thus, GCF of Fractions is 1/364108.Finally, GCF of Fractions for 9793/802, 6500/908 is 1/364108.