GCF of 5690/198, 2811/1840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5690/198, 2811/1840 i.e 1/182160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5690/198, 2811/1840.
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 5690/198,2811/1840?
Given fractions are 5690/198,2811/1840
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 5690/198,2811/1840, numerators are 5690,2811
Denominators are 198,1840
The GCF of 5690,2811 is 1 .
LCM of 198,1840 is 182160.
The greatest common factor of 5690/198,2811/1840 = [GCF of 5690,2811]/[LCM of 198,1840]= 1/182160
Therefore, the GCF of 5690/198,2811/1840 is 1/182160.
To find the highest common factor of 5690,2811, we have to find the factors of both numbers and list the highest common factor.
The factors of 5690 are 1, 2, 5, 10, 569, 1138, 2845, 5690
The factors of 2811 are 1, 3, 937, 2811
The HCF of 5690,2811 is 1.
Lets's calculate GCF of 5690,2811
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5690,2811 By Matching Biggest Common Factor Method
Now, list down the factors of 5690
:1,2,5,10,569,1138,2845,5690
Now, list down the factors of 2811
:1,3,937,2811
Greatest Common Factor
We found the factors 5690,2811 . The biggest common factor number is the GCF number.
So the greatest common factor 5690,2811 is 1.
Lets's calculate LCM of 198,1840
| 2 | 198, 1840 |
| 99, 920 |
∴ So the LCM of the given numbers is 2 x 99 x 920 = 182160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182160
Therefore, the GCF of Fractions 5690/198,2811/1840 is 1/182160
Least Common Multiple of 198,1840 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 198,1840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,1840) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(198,1840) x common factors =2 x 1 = 2
LCM(198,1840) = ( 198 × 1840 ) / 2
LCM(198,1840) = 364320 / 2
LCM(198,1840) = 182160
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FAQs on GCF of Fractions of 5690/198, 2811/1840
1. What is the HCF of 5690,2811?
The HCF of 5690,2811 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 5690/198, 2811/1840?
Answer: GCF of Numerators as per given numbers 5690/198, 2811/1840 is
GCF of Numerators i.e. for 5690,2811 is 1
LCM of denominators i.e. for 198,1840 is 182160.
Thus, GCF of Fractions is 1/182160.Finally, GCF of Fractions for 5690/198, 2811/1840 is 1/182160.