GCF of 5876/249, 8103/3110
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5876/249, 8103/3110 i.e 1/774390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5876/249, 8103/3110.
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 5876/249,8103/3110?
Given fractions are 5876/249,8103/3110
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 5876/249,8103/3110, numerators are 5876,8103
Denominators are 249,3110
The GCF of 5876,8103 is 1 .
LCM of 249,3110 is 774390.
The greatest common factor of 5876/249,8103/3110 = [GCF of 5876,8103]/[LCM of 249,3110]= 1/774390
Therefore, the GCF of 5876/249,8103/3110 is 1/774390.
To find the highest common factor of 5876,8103, we have to find the factors of both numbers and list the highest common factor.
The factors of 5876 are 1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876
The factors of 8103 are 1, 3, 37, 73, 111, 219, 2701, 8103
The HCF of 5876,8103 is 1.
Lets's calculate GCF of 5876,8103
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5876,8103 By Matching Biggest Common Factor Method
Now, list down the factors of 5876
:1,2,4,13,26,52,113,226,452,1469,2938,5876
Now, list down the factors of 8103
:1,3,37,73,111,219,2701,8103
Greatest Common Factor
We found the factors 5876,8103 . The biggest common factor number is the GCF number.
So the greatest common factor 5876,8103 is 1.
Lets's calculate LCM of 249,3110
Given numbers has no common factors except 1. So, there LCM is their product i.e 774390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/774390
Therefore, the GCF of Fractions 5876/249,8103/3110 is 1/774390
Least Common Multiple of 249,3110 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 249,3110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,3110) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,3110) x common factors =1 x 1 = 1
LCM(249,3110) = ( 249 × 3110 ) / 1
LCM(249,3110) = 774390 / 1
LCM(249,3110) = 774390
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FAQs on GCF of Fractions of 5876/249, 8103/3110
1. What is the HCF of 5876,8103?
The HCF of 5876,8103 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 5876/249, 8103/3110?
Answer: GCF of Numerators as per given numbers 5876/249, 8103/3110 is
GCF of Numerators i.e. for 5876,8103 is 1
LCM of denominators i.e. for 249,3110 is 774390.
Thus, GCF of Fractions is 1/774390.Finally, GCF of Fractions for 5876/249, 8103/3110 is 1/774390.