GCF of 1839/280, 2937/198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1839/280, 2937/198 i.e 3/27720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1839/280, 2937/198.
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 1839/280,2937/198?
Given fractions are 1839/280,2937/198
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 1839/280,2937/198, numerators are 1839,2937
Denominators are 280,198
The GCF of 1839,2937 is 3 .
LCM of 280,198 is 27720.
The greatest common factor of 1839/280,2937/198 = [GCF of 1839,2937]/[LCM of 280,198]= 3/27720
Therefore, the GCF of 1839/280,2937/198 is 3/27720.
To find the highest common factor of 1839,2937, we have to find the factors of both numbers and list the highest common factor.
The factors of 1839 are 1, 3, 613, 1839
The factors of 2937 are 1, 3, 11, 33, 89, 267, 979, 2937
The HCF of 1839,2937 is 3.
Lets's calculate GCF of 1839,2937
| 3 | 1839, 2937 |
| 613, 979 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1839,2937 By Matching Biggest Common Factor Method
Now, list down the factors of 1839
:1,3,613,1839
Now, list down the factors of 2937
:1,3,11,33,89,267,979,2937
Greatest Common Factor
We found the factors 1839,2937 . The biggest common factor number is the GCF number.
So the greatest common factor 1839,2937 is 3.
Lets's calculate LCM of 280,198
| 2 | 280, 198 |
| 140, 99 |
∴ So the LCM of the given numbers is 2 x 140 x 99 = 27720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27720
Therefore, the GCF of Fractions 1839/280,2937/198 is 3/27720
Least Common Multiple of 280,198 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 280,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,198) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(280,198) x common factors =2 x 1 = 2
LCM(280,198) = ( 280 × 198 ) / 2
LCM(280,198) = 55440 / 2
LCM(280,198) = 27720
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FAQs on GCF of Fractions of 1839/280, 2937/198
1. What is the HCF of 1839,2937?
The HCF of 1839,2937 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 1839/280, 2937/198?
Answer: GCF of Numerators as per given numbers 1839/280, 2937/198 is
GCF of Numerators i.e. for 1839,2937 is 3
LCM of denominators i.e. for 280,198 is 27720.
Thus, GCF of Fractions is 3/27720.Finally, GCF of Fractions for 1839/280, 2937/198 is 3/27720.