GCF of 3828/978, 7047/1513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3828/978, 7047/1513 i.e 87/1479714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3828/978, 7047/1513.
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 3828/978,7047/1513?
Given fractions are 3828/978,7047/1513
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 3828/978,7047/1513, numerators are 3828,7047
Denominators are 978,1513
The GCF of 3828,7047 is 87 .
LCM of 978,1513 is 1479714.
The greatest common factor of 3828/978,7047/1513 = [GCF of 3828,7047]/[LCM of 978,1513]= 87/1479714
Therefore, the GCF of 3828/978,7047/1513 is 87/1479714.
To find the highest common factor of 3828,7047, we have to find the factors of both numbers and list the highest common factor.
The factors of 3828 are 1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828
The factors of 7047 are 1, 3, 9, 27, 29, 81, 87, 243, 261, 783, 2349, 7047
The HCF of 3828,7047 is 87.
Lets's calculate GCF of 3828,7047
| 3 | 3828, 7047 |
| 29 | 1276, 2349 |
| 44, 81 |
∴ So the GCF of the given numbers is 3 x 29 = 87
Greatest Common Factor of 3828,7047 By Matching Biggest Common Factor Method
Now, list down the factors of 3828
:1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,3828
Now, list down the factors of 7047
:1,3,9,27,29,81,87,243,261,783,2349,7047
Greatest Common Factor
We found the factors 3828,7047 . The biggest common factor number is the GCF number.
So the greatest common factor 3828,7047 is 87.
Lets's calculate LCM of 978,1513
Given numbers has no common factors except 1. So, there LCM is their product i.e 1479714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 87/1479714
Therefore, the GCF of Fractions 3828/978,7047/1513 is 87/1479714
Least Common Multiple of 978,1513 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 978,1513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,1513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,1513) x common factors =1 x 1 = 1
LCM(978,1513) = ( 978 × 1513 ) / 1
LCM(978,1513) = 1479714 / 1
LCM(978,1513) = 1479714
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FAQs on GCF of Fractions of 3828/978, 7047/1513
1. What is the HCF of 3828,7047?
The HCF of 3828,7047 is 87
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 3828/978, 7047/1513?
Answer: GCF of Numerators as per given numbers 3828/978, 7047/1513 is
GCF of Numerators i.e. for 3828,7047 is 87
LCM of denominators i.e. for 978,1513 is 1479714.
Thus, GCF of Fractions is 87/1479714.Finally, GCF of Fractions for 3828/978, 7047/1513 is 87/1479714.