GCF of 1148/273, 1582/4112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1148/273, 1582/4112 i.e 14/1122576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1148/273, 1582/4112.
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 1148/273,1582/4112?
Given fractions are 1148/273,1582/4112
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 1148/273,1582/4112, numerators are 1148,1582
Denominators are 273,4112
The GCF of 1148,1582 is 14 .
LCM of 273,4112 is 1122576.
The greatest common factor of 1148/273,1582/4112 = [GCF of 1148,1582]/[LCM of 273,4112]= 14/1122576
Therefore, the GCF of 1148/273,1582/4112 is 14/1122576.
To find the highest common factor of 1148,1582, we have to find the factors of both numbers and list the highest common factor.
The factors of 1148 are 1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148
The factors of 1582 are 1, 2, 7, 14, 113, 226, 791, 1582
The HCF of 1148,1582 is 14.
Lets's calculate GCF of 1148,1582
| 2 | 1148, 1582 |
| 7 | 574, 791 |
| 82, 113 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1148,1582 By Matching Biggest Common Factor Method
Now, list down the factors of 1148
:1,2,4,7,14,28,41,82,164,287,574,1148
Now, list down the factors of 1582
:1,2,7,14,113,226,791,1582
Greatest Common Factor
We found the factors 1148,1582 . The biggest common factor number is the GCF number.
So the greatest common factor 1148,1582 is 14.
Lets's calculate LCM of 273,4112
Given numbers has no common factors except 1. So, there LCM is their product i.e 1122576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1122576
Therefore, the GCF of Fractions 1148/273,1582/4112 is 14/1122576
Least Common Multiple of 273,4112 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 273,4112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,4112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,4112) x common factors =1 x 1 = 1
LCM(273,4112) = ( 273 × 4112 ) / 1
LCM(273,4112) = 1122576 / 1
LCM(273,4112) = 1122576
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FAQs on GCF of Fractions of 1148/273, 1582/4112
1. What is the HCF of 1148,1582?
The HCF of 1148,1582 is 14
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 1148/273, 1582/4112?
Answer: GCF of Numerators as per given numbers 1148/273, 1582/4112 is
GCF of Numerators i.e. for 1148,1582 is 14
LCM of denominators i.e. for 273,4112 is 1122576.
Thus, GCF of Fractions is 14/1122576.Finally, GCF of Fractions for 1148/273, 1582/4112 is 14/1122576.