GCF of 9548/994, 1908/1782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9548/994, 1908/1782 i.e 4/885654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9548/994, 1908/1782.
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 9548/994,1908/1782?
Given fractions are 9548/994,1908/1782
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 9548/994,1908/1782, numerators are 9548,1908
Denominators are 994,1782
The GCF of 9548,1908 is 4 .
LCM of 994,1782 is 885654.
The greatest common factor of 9548/994,1908/1782 = [GCF of 9548,1908]/[LCM of 994,1782]= 4/885654
Therefore, the GCF of 9548/994,1908/1782 is 4/885654.
To find the highest common factor of 9548,1908, we have to find the factors of both numbers and list the highest common factor.
The factors of 9548 are 1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548
The factors of 1908 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908
The HCF of 9548,1908 is 4.
Lets's calculate GCF of 9548,1908
| 2 | 9548, 1908 |
| 2 | 4774, 954 |
| 2387, 477 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9548,1908 By Matching Biggest Common Factor Method
Now, list down the factors of 9548
:1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548
Now, list down the factors of 1908
:1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908
Greatest Common Factor
We found the factors 9548,1908 . The biggest common factor number is the GCF number.
So the greatest common factor 9548,1908 is 4.
Lets's calculate LCM of 994,1782
| 2 | 994, 1782 |
| 497, 891 |
∴ So the LCM of the given numbers is 2 x 497 x 891 = 885654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/885654
Therefore, the GCF of Fractions 9548/994,1908/1782 is 4/885654
Least Common Multiple of 994,1782 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 994,1782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,1782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,1782) x common factors =2 x 1 = 2
LCM(994,1782) = ( 994 × 1782 ) / 2
LCM(994,1782) = 1771308 / 2
LCM(994,1782) = 885654
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FAQs on GCF of Fractions of 9548/994, 1908/1782
1. What is the HCF of 9548,1908?
The HCF of 9548,1908 is 4
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 9548/994, 1908/1782?
Answer: GCF of Numerators as per given numbers 9548/994, 1908/1782 is
GCF of Numerators i.e. for 9548,1908 is 4
LCM of denominators i.e. for 994,1782 is 885654.
Thus, GCF of Fractions is 4/885654.Finally, GCF of Fractions for 9548/994, 1908/1782 is 4/885654.