GCF of 2878/310, 4935/4244
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2878/310, 4935/4244 i.e 1/657820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2878/310, 4935/4244.
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 2878/310,4935/4244?
Given fractions are 2878/310,4935/4244
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 2878/310,4935/4244, numerators are 2878,4935
Denominators are 310,4244
The GCF of 2878,4935 is 1 .
LCM of 310,4244 is 657820.
The greatest common factor of 2878/310,4935/4244 = [GCF of 2878,4935]/[LCM of 310,4244]= 1/657820
Therefore, the GCF of 2878/310,4935/4244 is 1/657820.
To find the highest common factor of 2878,4935, 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 4935 are 1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935
The HCF of 2878,4935 is 1.
Lets's calculate GCF of 2878,4935
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2878,4935 By Matching Biggest Common Factor Method
Now, list down the factors of 2878
:1,2,1439,2878
Now, list down the factors of 4935
:1,3,5,7,15,21,35,47,105,141,235,329,705,987,1645,4935
Greatest Common Factor
We found the factors 2878,4935 . The biggest common factor number is the GCF number.
So the greatest common factor 2878,4935 is 1.
Lets's calculate LCM of 310,4244
| 2 | 310, 4244 |
| 155, 2122 |
∴ So the LCM of the given numbers is 2 x 155 x 2122 = 657820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/657820
Therefore, the GCF of Fractions 2878/310,4935/4244 is 1/657820
Least Common Multiple of 310,4244 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 310,4244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,4244) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(310,4244) x common factors =2 x 1 = 2
LCM(310,4244) = ( 310 × 4244 ) / 2
LCM(310,4244) = 1315640 / 2
LCM(310,4244) = 657820
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FAQs on GCF of Fractions of 2878/310, 4935/4244
1. What is the HCF of 2878,4935?
The HCF of 2878,4935 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 2878/310, 4935/4244?
Answer: GCF of Numerators as per given numbers 2878/310, 4935/4244 is
GCF of Numerators i.e. for 2878,4935 is 1
LCM of denominators i.e. for 310,4244 is 657820.
Thus, GCF of Fractions is 1/657820.Finally, GCF of Fractions for 2878/310, 4935/4244 is 1/657820.