GCF of 1878/549, 1149/5094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1878/549, 1149/5094 i.e 3/310734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1878/549, 1149/5094.
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 1878/549,1149/5094?
Given fractions are 1878/549,1149/5094
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 1878/549,1149/5094, numerators are 1878,1149
Denominators are 549,5094
The GCF of 1878,1149 is 3 .
LCM of 549,5094 is 310734.
The greatest common factor of 1878/549,1149/5094 = [GCF of 1878,1149]/[LCM of 549,5094]= 3/310734
Therefore, the GCF of 1878/549,1149/5094 is 3/310734.
To find the highest common factor of 1878,1149, we have to find the factors of both numbers and list the highest common factor.
The factors of 1878 are 1, 2, 3, 6, 313, 626, 939, 1878
The factors of 1149 are 1, 3, 383, 1149
The HCF of 1878,1149 is 3.
Lets's calculate GCF of 1878,1149
| 3 | 1878, 1149 |
| 626, 383 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1878,1149 By Matching Biggest Common Factor Method
Now, list down the factors of 1878
:1,2,3,6,313,626,939,1878
Now, list down the factors of 1149
:1,3,383,1149
Greatest Common Factor
We found the factors 1878,1149 . The biggest common factor number is the GCF number.
So the greatest common factor 1878,1149 is 3.
Lets's calculate LCM of 549,5094
| 3 | 549, 5094 |
| 3 | 183, 1698 |
| 61, 566 |
∴ So the LCM of the given numbers is 3 x 3 x 61 x 566 = 310734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/310734
Therefore, the GCF of Fractions 1878/549,1149/5094 is 3/310734
Least Common Multiple of 549,5094 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 549,5094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,5094) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(549,5094) x common factors =9 x 1 = 9
LCM(549,5094) = ( 549 × 5094 ) / 9
LCM(549,5094) = 2796606 / 9
LCM(549,5094) = 310734
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1878/549, 1149/5094
1. What is the HCF of 1878,1149?
The HCF of 1878,1149 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 1878/549, 1149/5094?
Answer: GCF of Numerators as per given numbers 1878/549, 1149/5094 is
GCF of Numerators i.e. for 1878,1149 is 3
LCM of denominators i.e. for 549,5094 is 310734.
Thus, GCF of Fractions is 3/310734.Finally, GCF of Fractions for 1878/549, 1149/5094 is 3/310734.