GCF of 3036/630, 3828/3447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3036/630, 3828/3447 i.e 132/241290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3036/630, 3828/3447.
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 3036/630,3828/3447?
Given fractions are 3036/630,3828/3447
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 3036/630,3828/3447, numerators are 3036,3828
Denominators are 630,3447
The GCF of 3036,3828 is 132 .
LCM of 630,3447 is 241290.
The greatest common factor of 3036/630,3828/3447 = [GCF of 3036,3828]/[LCM of 630,3447]= 132/241290
Therefore, the GCF of 3036/630,3828/3447 is 132/241290.
To find the highest common factor of 3036,3828, we have to find the factors of both numbers and list the highest common factor.
The factors of 3036 are 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518, 3036
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 HCF of 3036,3828 is 132.
Lets's calculate GCF of 3036,3828
| 2 | 3036, 3828 |
| 2 | 1518, 1914 |
| 3 | 759, 957 |
| 11 | 253, 319 |
| 23, 29 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132
Greatest Common Factor of 3036,3828 By Matching Biggest Common Factor Method
Now, list down the factors of 3036
:1,2,3,4,6,11,12,22,23,33,44,46,66,69,92,132,138,253,276,506,759,1012,1518,3036
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
Greatest Common Factor
We found the factors 3036,3828 . The biggest common factor number is the GCF number.
So the greatest common factor 3036,3828 is 132.
Lets's calculate LCM of 630,3447
| 3 | 630, 3447 |
| 3 | 210, 1149 |
| 70, 383 |
∴ So the LCM of the given numbers is 3 x 3 x 70 x 383 = 241290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 132/241290
Therefore, the GCF of Fractions 3036/630,3828/3447 is 132/241290
Least Common Multiple of 630,3447 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 630,3447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,3447) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(630,3447) x common factors =9 x 1 = 9
LCM(630,3447) = ( 630 × 3447 ) / 9
LCM(630,3447) = 2171610 / 9
LCM(630,3447) = 241290
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FAQs on GCF of Fractions of 3036/630, 3828/3447
1. What is the HCF of 3036,3828?
The HCF of 3036,3828 is 132
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 3036/630, 3828/3447?
Answer: GCF of Numerators as per given numbers 3036/630, 3828/3447 is
GCF of Numerators i.e. for 3036,3828 is 132
LCM of denominators i.e. for 630,3447 is 241290.
Thus, GCF of Fractions is 132/241290.Finally, GCF of Fractions for 3036/630, 3828/3447 is 132/241290.