GCF of 5456/731, 2148/4471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5456/731, 2148/4471 i.e 4/192253 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5456/731, 2148/4471.
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 5456/731,2148/4471?
Given fractions are 5456/731,2148/4471
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 5456/731,2148/4471, numerators are 5456,2148
Denominators are 731,4471
The GCF of 5456,2148 is 4 .
LCM of 731,4471 is 192253.
The greatest common factor of 5456/731,2148/4471 = [GCF of 5456,2148]/[LCM of 731,4471]= 4/192253
Therefore, the GCF of 5456/731,2148/4471 is 4/192253.
To find the highest common factor of 5456,2148, we have to find the factors of both numbers and list the highest common factor.
The factors of 5456 are 1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728, 5456
The factors of 2148 are 1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148
The HCF of 5456,2148 is 4.
Lets's calculate GCF of 5456,2148
| 2 | 5456, 2148 |
| 2 | 2728, 1074 |
| 1364, 537 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5456,2148 By Matching Biggest Common Factor Method
Now, list down the factors of 5456
:1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456
Now, list down the factors of 2148
:1,2,3,4,6,12,179,358,537,716,1074,2148
Greatest Common Factor
We found the factors 5456,2148 . The biggest common factor number is the GCF number.
So the greatest common factor 5456,2148 is 4.
Lets's calculate LCM of 731,4471
| 17 | 731, 4471 |
| 43, 263 |
∴ So the LCM of the given numbers is 17 x 43 x 263 = 192253
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/192253
Therefore, the GCF of Fractions 5456/731,2148/4471 is 4/192253
Least Common Multiple of 731,4471 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 731,4471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,4471) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(731,4471) x common factors =17 x 1 = 17
LCM(731,4471) = ( 731 × 4471 ) / 17
LCM(731,4471) = 3268301 / 17
LCM(731,4471) = 192253
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FAQs on GCF of Fractions of 5456/731, 2148/4471
1. What is the HCF of 5456,2148?
The HCF of 5456,2148 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 5456/731, 2148/4471?
Answer: GCF of Numerators as per given numbers 5456/731, 2148/4471 is
GCF of Numerators i.e. for 5456,2148 is 4
LCM of denominators i.e. for 731,4471 is 192253.
Thus, GCF of Fractions is 4/192253.Finally, GCF of Fractions for 5456/731, 2148/4471 is 4/192253.