GCF of 8327/249, 3160/2819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8327/249, 3160/2819 i.e 1/701931 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8327/249, 3160/2819.
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 8327/249,3160/2819?
Given fractions are 8327/249,3160/2819
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 8327/249,3160/2819, numerators are 8327,3160
Denominators are 249,2819
The GCF of 8327,3160 is 1 .
LCM of 249,2819 is 701931.
The greatest common factor of 8327/249,3160/2819 = [GCF of 8327,3160]/[LCM of 249,2819]= 1/701931
Therefore, the GCF of 8327/249,3160/2819 is 1/701931.
To find the highest common factor of 8327,3160, we have to find the factors of both numbers and list the highest common factor.
The factors of 8327 are 1, 11, 757, 8327
The factors of 3160 are 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160
The HCF of 8327,3160 is 1.
Lets's calculate GCF of 8327,3160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8327,3160 By Matching Biggest Common Factor Method
Now, list down the factors of 8327
:1,11,757,8327
Now, list down the factors of 3160
:1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160
Greatest Common Factor
We found the factors 8327,3160 . The biggest common factor number is the GCF number.
So the greatest common factor 8327,3160 is 1.
Lets's calculate LCM of 249,2819
Given numbers has no common factors except 1. So, there LCM is their product i.e 701931
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/701931
Therefore, the GCF of Fractions 8327/249,3160/2819 is 1/701931
Least Common Multiple of 249,2819 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 249,2819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,2819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,2819) x common factors =1 x 1 = 1
LCM(249,2819) = ( 249 × 2819 ) / 1
LCM(249,2819) = 701931 / 1
LCM(249,2819) = 701931
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FAQs on GCF of Fractions of 8327/249, 3160/2819
1. What is the HCF of 8327,3160?
The HCF of 8327,3160 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 8327/249, 3160/2819?
Answer: GCF of Numerators as per given numbers 8327/249, 3160/2819 is
GCF of Numerators i.e. for 8327,3160 is 1
LCM of denominators i.e. for 249,2819 is 701931.
Thus, GCF of Fractions is 1/701931.Finally, GCF of Fractions for 8327/249, 3160/2819 is 1/701931.