GCF of 3798/765, 2870/2954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3798/765, 2870/2954 i.e 2/2259810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3798/765, 2870/2954.
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 3798/765,2870/2954?
Given fractions are 3798/765,2870/2954
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 3798/765,2870/2954, numerators are 3798,2870
Denominators are 765,2954
The GCF of 3798,2870 is 2 .
LCM of 765,2954 is 2259810.
The greatest common factor of 3798/765,2870/2954 = [GCF of 3798,2870]/[LCM of 765,2954]= 2/2259810
Therefore, the GCF of 3798/765,2870/2954 is 2/2259810.
To find the highest common factor of 3798,2870, we have to find the factors of both numbers and list the highest common factor.
The factors of 3798 are 1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798
The factors of 2870 are 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870
The HCF of 3798,2870 is 2.
Lets's calculate GCF of 3798,2870
| 2 | 3798, 2870 |
| 1899, 1435 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3798,2870 By Matching Biggest Common Factor Method
Now, list down the factors of 3798
:1,2,3,6,9,18,211,422,633,1266,1899,3798
Now, list down the factors of 2870
:1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870
Greatest Common Factor
We found the factors 3798,2870 . The biggest common factor number is the GCF number.
So the greatest common factor 3798,2870 is 2.
Lets's calculate LCM of 765,2954
Given numbers has no common factors except 1. So, there LCM is their product i.e 2259810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2259810
Therefore, the GCF of Fractions 3798/765,2870/2954 is 2/2259810
Least Common Multiple of 765,2954 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 765,2954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,2954) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,2954) x common factors =1 x 1 = 1
LCM(765,2954) = ( 765 × 2954 ) / 1
LCM(765,2954) = 2259810 / 1
LCM(765,2954) = 2259810
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FAQs on GCF of Fractions of 3798/765, 2870/2954
1. What is the HCF of 3798,2870?
The HCF of 3798,2870 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 3798/765, 2870/2954?
Answer: GCF of Numerators as per given numbers 3798/765, 2870/2954 is
GCF of Numerators i.e. for 3798,2870 is 2
LCM of denominators i.e. for 765,2954 is 2259810.
Thus, GCF of Fractions is 2/2259810.Finally, GCF of Fractions for 3798/765, 2870/2954 is 2/2259810.