GCF of 4148/869, 6168/544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4148/869, 6168/544 i.e 4/472736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4148/869, 6168/544.
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 4148/869,6168/544?
Given fractions are 4148/869,6168/544
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 4148/869,6168/544, numerators are 4148,6168
Denominators are 869,544
The GCF of 4148,6168 is 4 .
LCM of 869,544 is 472736.
The greatest common factor of 4148/869,6168/544 = [GCF of 4148,6168]/[LCM of 869,544]= 4/472736
Therefore, the GCF of 4148/869,6168/544 is 4/472736.
To find the highest common factor of 4148,6168, 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 6168 are 1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168
The HCF of 4148,6168 is 4.
Lets's calculate GCF of 4148,6168
| 2 | 4148, 6168 |
| 2 | 2074, 3084 |
| 1037, 1542 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4148,6168 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 6168
:1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168
Greatest Common Factor
We found the factors 4148,6168 . The biggest common factor number is the GCF number.
So the greatest common factor 4148,6168 is 4.
Lets's calculate LCM of 869,544
Given numbers has no common factors except 1. So, there LCM is their product i.e 472736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/472736
Therefore, the GCF of Fractions 4148/869,6168/544 is 4/472736
Least Common Multiple of 869,544 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 869,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,544) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,544) x common factors =1 x 1 = 1
LCM(869,544) = ( 869 × 544 ) / 1
LCM(869,544) = 472736 / 1
LCM(869,544) = 472736
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FAQs on GCF of Fractions of 4148/869, 6168/544
1. What is the HCF of 4148,6168?
The HCF of 4148,6168 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 4148/869, 6168/544?
Answer: GCF of Numerators as per given numbers 4148/869, 6168/544 is
GCF of Numerators i.e. for 4148,6168 is 4
LCM of denominators i.e. for 869,544 is 472736.
Thus, GCF of Fractions is 4/472736.Finally, GCF of Fractions for 4148/869, 6168/544 is 4/472736.