GCF of 2838/687, 1940/833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2838/687, 1940/833 i.e 2/572271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2838/687, 1940/833.
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 2838/687,1940/833?
Given fractions are 2838/687,1940/833
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 2838/687,1940/833, numerators are 2838,1940
Denominators are 687,833
The GCF of 2838,1940 is 2 .
LCM of 687,833 is 572271.
The greatest common factor of 2838/687,1940/833 = [GCF of 2838,1940]/[LCM of 687,833]= 2/572271
Therefore, the GCF of 2838/687,1940/833 is 2/572271.
To find the highest common factor of 2838,1940, we have to find the factors of both numbers and list the highest common factor.
The factors of 2838 are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838
The factors of 1940 are 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940
The HCF of 2838,1940 is 2.
Lets's calculate GCF of 2838,1940
| 2 | 2838, 1940 |
| 1419, 970 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2838,1940 By Matching Biggest Common Factor Method
Now, list down the factors of 2838
:1,2,3,6,11,22,33,43,66,86,129,258,473,946,1419,2838
Now, list down the factors of 1940
:1,2,4,5,10,20,97,194,388,485,970,1940
Greatest Common Factor
We found the factors 2838,1940 . The biggest common factor number is the GCF number.
So the greatest common factor 2838,1940 is 2.
Lets's calculate LCM of 687,833
Given numbers has no common factors except 1. So, there LCM is their product i.e 572271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/572271
Therefore, the GCF of Fractions 2838/687,1940/833 is 2/572271
Least Common Multiple of 687,833 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 687,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,833) x common factors =1 x 1 = 1
LCM(687,833) = ( 687 × 833 ) / 1
LCM(687,833) = 572271 / 1
LCM(687,833) = 572271
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FAQs on GCF of Fractions of 2838/687, 1940/833
1. What is the HCF of 2838,1940?
The HCF of 2838,1940 is 2
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 2838/687, 1940/833?
Answer: GCF of Numerators as per given numbers 2838/687, 1940/833 is
GCF of Numerators i.e. for 2838,1940 is 2
LCM of denominators i.e. for 687,833 is 572271.
Thus, GCF of Fractions is 2/572271.Finally, GCF of Fractions for 2838/687, 1940/833 is 2/572271.