GCF of 5877/223, 2094/8299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5877/223, 2094/8299 i.e 3/1850677 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5877/223, 2094/8299.
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 5877/223,2094/8299?
Given fractions are 5877/223,2094/8299
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 5877/223,2094/8299, numerators are 5877,2094
Denominators are 223,8299
The GCF of 5877,2094 is 3 .
LCM of 223,8299 is 1850677.
The greatest common factor of 5877/223,2094/8299 = [GCF of 5877,2094]/[LCM of 223,8299]= 3/1850677
Therefore, the GCF of 5877/223,2094/8299 is 3/1850677.
To find the highest common factor of 5877,2094, we have to find the factors of both numbers and list the highest common factor.
The factors of 5877 are 1, 3, 9, 653, 1959, 5877
The factors of 2094 are 1, 2, 3, 6, 349, 698, 1047, 2094
The HCF of 5877,2094 is 3.
Lets's calculate GCF of 5877,2094
| 3 | 5877, 2094 |
| 1959, 698 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5877,2094 By Matching Biggest Common Factor Method
Now, list down the factors of 5877
:1,3,9,653,1959,5877
Now, list down the factors of 2094
:1,2,3,6,349,698,1047,2094
Greatest Common Factor
We found the factors 5877,2094 . The biggest common factor number is the GCF number.
So the greatest common factor 5877,2094 is 3.
Lets's calculate LCM of 223,8299
Given numbers has no common factors except 1. So, there LCM is their product i.e 1850677
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1850677
Therefore, the GCF of Fractions 5877/223,2094/8299 is 3/1850677
Least Common Multiple of 223,8299 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 223,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,8299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,8299) x common factors =1 x 1 = 1
LCM(223,8299) = ( 223 × 8299 ) / 1
LCM(223,8299) = 1850677 / 1
LCM(223,8299) = 1850677
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5877/223, 2094/8299
1. What is the HCF of 5877,2094?
The HCF of 5877,2094 is 3
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 5877/223, 2094/8299?
Answer: GCF of Numerators as per given numbers 5877/223, 2094/8299 is
GCF of Numerators i.e. for 5877,2094 is 3
LCM of denominators i.e. for 223,8299 is 1850677.
Thus, GCF of Fractions is 3/1850677.Finally, GCF of Fractions for 5877/223, 2094/8299 is 3/1850677.