GCF of 4176/906, 9042/1752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4176/906, 9042/1752 i.e 6/264552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4176/906, 9042/1752.
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 4176/906,9042/1752?
Given fractions are 4176/906,9042/1752
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 4176/906,9042/1752, numerators are 4176,9042
Denominators are 906,1752
The GCF of 4176,9042 is 6 .
LCM of 906,1752 is 264552.
The greatest common factor of 4176/906,9042/1752 = [GCF of 4176,9042]/[LCM of 906,1752]= 6/264552
Therefore, the GCF of 4176/906,9042/1752 is 6/264552.
To find the highest common factor of 4176,9042, we have to find the factors of both numbers and list the highest common factor.
The factors of 4176 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088, 4176
The factors of 9042 are 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042
The HCF of 4176,9042 is 6.
Lets's calculate GCF of 4176,9042
| 2 | 4176, 9042 |
| 3 | 2088, 4521 |
| 696, 1507 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4176,9042 By Matching Biggest Common Factor Method
Now, list down the factors of 4176
:1,2,3,4,6,8,9,12,16,18,24,29,36,48,58,72,87,116,144,174,232,261,348,464,522,696,1044,1392,2088,4176
Now, list down the factors of 9042
:1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042
Greatest Common Factor
We found the factors 4176,9042 . The biggest common factor number is the GCF number.
So the greatest common factor 4176,9042 is 6.
Lets's calculate LCM of 906,1752
| 2 | 906, 1752 |
| 3 | 453, 876 |
| 151, 292 |
∴ So the LCM of the given numbers is 2 x 3 x 151 x 292 = 264552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/264552
Therefore, the GCF of Fractions 4176/906,9042/1752 is 6/264552
Least Common Multiple of 906,1752 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 906,1752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,1752) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(906,1752) x common factors =6 x 1 = 6
LCM(906,1752) = ( 906 × 1752 ) / 6
LCM(906,1752) = 1587312 / 6
LCM(906,1752) = 264552
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4176/906, 9042/1752
1. What is the HCF of 4176,9042?
The HCF of 4176,9042 is 6
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 4176/906, 9042/1752?
Answer: GCF of Numerators as per given numbers 4176/906, 9042/1752 is
GCF of Numerators i.e. for 4176,9042 is 6
LCM of denominators i.e. for 906,1752 is 264552.
Thus, GCF of Fractions is 6/264552.Finally, GCF of Fractions for 4176/906, 9042/1752 is 6/264552.