GCF of 9799/326, 9130/5827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9799/326, 9130/5827 i.e 1/1899602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9799/326, 9130/5827.
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 9799/326,9130/5827?
Given fractions are 9799/326,9130/5827
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 9799/326,9130/5827, numerators are 9799,9130
Denominators are 326,5827
The GCF of 9799,9130 is 1 .
LCM of 326,5827 is 1899602.
The greatest common factor of 9799/326,9130/5827 = [GCF of 9799,9130]/[LCM of 326,5827]= 1/1899602
Therefore, the GCF of 9799/326,9130/5827 is 1/1899602.
To find the highest common factor of 9799,9130, we have to find the factors of both numbers and list the highest common factor.
The factors of 9799 are 1, 41, 239, 9799
The factors of 9130 are 1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130
The HCF of 9799,9130 is 1.
Lets's calculate GCF of 9799,9130
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9799,9130 By Matching Biggest Common Factor Method
Now, list down the factors of 9799
:1,41,239,9799
Now, list down the factors of 9130
:1,2,5,10,11,22,55,83,110,166,415,830,913,1826,4565,9130
Greatest Common Factor
We found the factors 9799,9130 . The biggest common factor number is the GCF number.
So the greatest common factor 9799,9130 is 1.
Lets's calculate LCM of 326,5827
Given numbers has no common factors except 1. So, there LCM is their product i.e 1899602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1899602
Therefore, the GCF of Fractions 9799/326,9130/5827 is 1/1899602
Least Common Multiple of 326,5827 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 326,5827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,5827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(326,5827) x common factors =1 x 1 = 1
LCM(326,5827) = ( 326 × 5827 ) / 1
LCM(326,5827) = 1899602 / 1
LCM(326,5827) = 1899602
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FAQs on GCF of Fractions of 9799/326, 9130/5827
1. What is the HCF of 9799,9130?
The HCF of 9799,9130 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 9799/326, 9130/5827?
Answer: GCF of Numerators as per given numbers 9799/326, 9130/5827 is
GCF of Numerators i.e. for 9799,9130 is 1
LCM of denominators i.e. for 326,5827 is 1899602.
Thus, GCF of Fractions is 1/1899602.Finally, GCF of Fractions for 9799/326, 9130/5827 is 1/1899602.