GCF of 2828/435, 4122/1878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2828/435, 4122/1878 i.e 2/272310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2828/435, 4122/1878.
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 2828/435,4122/1878?
Given fractions are 2828/435,4122/1878
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 2828/435,4122/1878, numerators are 2828,4122
Denominators are 435,1878
The GCF of 2828,4122 is 2 .
LCM of 435,1878 is 272310.
The greatest common factor of 2828/435,4122/1878 = [GCF of 2828,4122]/[LCM of 435,1878]= 2/272310
Therefore, the GCF of 2828/435,4122/1878 is 2/272310.
To find the highest common factor of 2828,4122, we have to find the factors of both numbers and list the highest common factor.
The factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828
The factors of 4122 are 1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122
The HCF of 2828,4122 is 2.
Lets's calculate GCF of 2828,4122
| 2 | 2828, 4122 |
| 1414, 2061 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2828,4122 By Matching Biggest Common Factor Method
Now, list down the factors of 2828
:1,2,4,7,14,28,101,202,404,707,1414,2828
Now, list down the factors of 4122
:1,2,3,6,9,18,229,458,687,1374,2061,4122
Greatest Common Factor
We found the factors 2828,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 2828,4122 is 2.
Lets's calculate LCM of 435,1878
| 3 | 435, 1878 |
| 145, 626 |
∴ So the LCM of the given numbers is 3 x 145 x 626 = 272310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/272310
Therefore, the GCF of Fractions 2828/435,4122/1878 is 2/272310
Least Common Multiple of 435,1878 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 435,1878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,1878) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(435,1878) x common factors =3 x 1 = 3
LCM(435,1878) = ( 435 × 1878 ) / 3
LCM(435,1878) = 816930 / 3
LCM(435,1878) = 272310
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FAQs on GCF of Fractions of 2828/435, 4122/1878
1. What is the HCF of 2828,4122?
The HCF of 2828,4122 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 2828/435, 4122/1878?
Answer: GCF of Numerators as per given numbers 2828/435, 4122/1878 is
GCF of Numerators i.e. for 2828,4122 is 2
LCM of denominators i.e. for 435,1878 is 272310.
Thus, GCF of Fractions is 2/272310.Finally, GCF of Fractions for 2828/435, 4122/1878 is 2/272310.