GCF of 7146/546, 5543/5248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7146/546, 5543/5248 i.e 1/1432704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7146/546, 5543/5248.
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 7146/546,5543/5248?
Given fractions are 7146/546,5543/5248
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 7146/546,5543/5248, numerators are 7146,5543
Denominators are 546,5248
The GCF of 7146,5543 is 1 .
LCM of 546,5248 is 1432704.
The greatest common factor of 7146/546,5543/5248 = [GCF of 7146,5543]/[LCM of 546,5248]= 1/1432704
Therefore, the GCF of 7146/546,5543/5248 is 1/1432704.
To find the highest common factor of 7146,5543, we have to find the factors of both numbers and list the highest common factor.
The factors of 7146 are 1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573, 7146
The factors of 5543 are 1, 23, 241, 5543
The HCF of 7146,5543 is 1.
Lets's calculate GCF of 7146,5543
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7146,5543 By Matching Biggest Common Factor Method
Now, list down the factors of 7146
:1,2,3,6,9,18,397,794,1191,2382,3573,7146
Now, list down the factors of 5543
:1,23,241,5543
Greatest Common Factor
We found the factors 7146,5543 . The biggest common factor number is the GCF number.
So the greatest common factor 7146,5543 is 1.
Lets's calculate LCM of 546,5248
| 2 | 546, 5248 |
| 273, 2624 |
∴ So the LCM of the given numbers is 2 x 273 x 2624 = 1432704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1432704
Therefore, the GCF of Fractions 7146/546,5543/5248 is 1/1432704
Least Common Multiple of 546,5248 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 546,5248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,5248) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(546,5248) x common factors =2 x 1 = 2
LCM(546,5248) = ( 546 × 5248 ) / 2
LCM(546,5248) = 2865408 / 2
LCM(546,5248) = 1432704
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FAQs on GCF of Fractions of 7146/546, 5543/5248
1. What is the HCF of 7146,5543?
The HCF of 7146,5543 is 1
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 7146/546, 5543/5248?
Answer: GCF of Numerators as per given numbers 7146/546, 5543/5248 is
GCF of Numerators i.e. for 7146,5543 is 1
LCM of denominators i.e. for 546,5248 is 1432704.
Thus, GCF of Fractions is 1/1432704.Finally, GCF of Fractions for 7146/546, 5543/5248 is 1/1432704.