GCF of 4148/73, 4392/380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4148/73, 4392/380 i.e 244/27740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4148/73, 4392/380.
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 4148/73,4392/380?
Given fractions are 4148/73,4392/380
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 4148/73,4392/380, numerators are 4148,4392
Denominators are 73,380
The GCF of 4148,4392 is 244 .
LCM of 73,380 is 27740.
The greatest common factor of 4148/73,4392/380 = [GCF of 4148,4392]/[LCM of 73,380]= 244/27740
Therefore, the GCF of 4148/73,4392/380 is 244/27740.
To find the highest common factor of 4148,4392, we have to find the factors of both numbers and list the highest common factor.
The factors of 4148 are 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074, 4148
The factors of 4392 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 61, 72, 122, 183, 244, 366, 488, 549, 732, 1098, 1464, 2196, 4392
The HCF of 4148,4392 is 244.
Lets's calculate GCF of 4148,4392
| 2 | 4148, 4392 |
| 2 | 2074, 2196 |
| 61 | 1037, 1098 |
| 17, 18 |
∴ So the GCF of the given numbers is 2 x 2 x 61 = 244
Greatest Common Factor of 4148,4392 By Matching Biggest Common Factor Method
Now, list down the factors of 4148
:1,2,4,17,34,61,68,122,244,1037,2074,4148
Now, list down the factors of 4392
:1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392
Greatest Common Factor
We found the factors 4148,4392 . The biggest common factor number is the GCF number.
So the greatest common factor 4148,4392 is 244.
Lets's calculate LCM of 73,380
Given numbers has no common factors except 1. So, there LCM is their product i.e 27740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 244/27740
Therefore, the GCF of Fractions 4148/73,4392/380 is 244/27740
Least Common Multiple of 73,380 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 73,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,380) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,380) x common factors =1 x 1 = 1
LCM(73,380) = ( 73 × 380 ) / 1
LCM(73,380) = 27740 / 1
LCM(73,380) = 27740
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FAQs on GCF of Fractions of 4148/73, 4392/380
1. What is the HCF of 4148,4392?
The HCF of 4148,4392 is 244
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 4148/73, 4392/380?
Answer: GCF of Numerators as per given numbers 4148/73, 4392/380 is
GCF of Numerators i.e. for 4148,4392 is 244
LCM of denominators i.e. for 73,380 is 27740.
Thus, GCF of Fractions is 244/27740.Finally, GCF of Fractions for 4148/73, 4392/380 is 244/27740.