GCF of 3906/202, 5526/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3906/202, 5526/144 i.e 18/14544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3906/202, 5526/144.
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 3906/202,5526/144?
Given fractions are 3906/202,5526/144
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 3906/202,5526/144, numerators are 3906,5526
Denominators are 202,144
The GCF of 3906,5526 is 18 .
LCM of 202,144 is 14544.
The greatest common factor of 3906/202,5526/144 = [GCF of 3906,5526]/[LCM of 202,144]= 18/14544
Therefore, the GCF of 3906/202,5526/144 is 18/14544.
To find the highest common factor of 3906,5526, we have to find the factors of both numbers and list the highest common factor.
The factors of 3906 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906
The factors of 5526 are 1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526
The HCF of 3906,5526 is 18.
Lets's calculate GCF of 3906,5526
| 2 | 3906, 5526 |
| 3 | 1953, 2763 |
| 3 | 651, 921 |
| 217, 307 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 3906,5526 By Matching Biggest Common Factor Method
Now, list down the factors of 3906
:1,2,3,6,7,9,14,18,21,31,42,62,63,93,126,186,217,279,434,558,651,1302,1953,3906
Now, list down the factors of 5526
:1,2,3,6,9,18,307,614,921,1842,2763,5526
Greatest Common Factor
We found the factors 3906,5526 . The biggest common factor number is the GCF number.
So the greatest common factor 3906,5526 is 18.
Lets's calculate LCM of 202,144
| 2 | 202, 144 |
| 101, 72 |
∴ So the LCM of the given numbers is 2 x 101 x 72 = 14544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/14544
Therefore, the GCF of Fractions 3906/202,5526/144 is 18/14544
Least Common Multiple of 202,144 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 202,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,144) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,144) x common factors =2 x 1 = 2
LCM(202,144) = ( 202 × 144 ) / 2
LCM(202,144) = 29088 / 2
LCM(202,144) = 14544
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FAQs on GCF of Fractions of 3906/202, 5526/144
1. What is the HCF of 3906,5526?
The HCF of 3906,5526 is 18
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 3906/202, 5526/144?
Answer: GCF of Numerators as per given numbers 3906/202, 5526/144 is
GCF of Numerators i.e. for 3906,5526 is 18
LCM of denominators i.e. for 202,144 is 14544.
Thus, GCF of Fractions is 18/14544.Finally, GCF of Fractions for 3906/202, 5526/144 is 18/14544.