GCF of 2878/774, 4615/1359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2878/774, 4615/1359 i.e 1/116874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2878/774, 4615/1359.
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 2878/774,4615/1359?
Given fractions are 2878/774,4615/1359
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 2878/774,4615/1359, numerators are 2878,4615
Denominators are 774,1359
The GCF of 2878,4615 is 1 .
LCM of 774,1359 is 116874.
The greatest common factor of 2878/774,4615/1359 = [GCF of 2878,4615]/[LCM of 774,1359]= 1/116874
Therefore, the GCF of 2878/774,4615/1359 is 1/116874.
To find the highest common factor of 2878,4615, we have to find the factors of both numbers and list the highest common factor.
The factors of 2878 are 1, 2, 1439, 2878
The factors of 4615 are 1, 5, 13, 65, 71, 355, 923, 4615
The HCF of 2878,4615 is 1.
Lets's calculate GCF of 2878,4615
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2878,4615 By Matching Biggest Common Factor Method
Now, list down the factors of 2878
:1,2,1439,2878
Now, list down the factors of 4615
:1,5,13,65,71,355,923,4615
Greatest Common Factor
We found the factors 2878,4615 . The biggest common factor number is the GCF number.
So the greatest common factor 2878,4615 is 1.
Lets's calculate LCM of 774,1359
| 3 | 774, 1359 |
| 3 | 258, 453 |
| 86, 151 |
∴ So the LCM of the given numbers is 3 x 3 x 86 x 151 = 116874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116874
Therefore, the GCF of Fractions 2878/774,4615/1359 is 1/116874
Least Common Multiple of 774,1359 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 774,1359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,1359) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(774,1359) x common factors =9 x 1 = 9
LCM(774,1359) = ( 774 × 1359 ) / 9
LCM(774,1359) = 1051866 / 9
LCM(774,1359) = 116874
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FAQs on GCF of Fractions of 2878/774, 4615/1359
1. What is the HCF of 2878,4615?
The HCF of 2878,4615 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 2878/774, 4615/1359?
Answer: GCF of Numerators as per given numbers 2878/774, 4615/1359 is
GCF of Numerators i.e. for 2878,4615 is 1
LCM of denominators i.e. for 774,1359 is 116874.
Thus, GCF of Fractions is 1/116874.Finally, GCF of Fractions for 2878/774, 4615/1359 is 1/116874.