GCF of 4545/178, 4343/6266
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4545/178, 4343/6266 i.e 101/557674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4545/178, 4343/6266.
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 4545/178,4343/6266?
Given fractions are 4545/178,4343/6266
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 4545/178,4343/6266, numerators are 4545,4343
Denominators are 178,6266
The GCF of 4545,4343 is 101 .
LCM of 178,6266 is 557674.
The greatest common factor of 4545/178,4343/6266 = [GCF of 4545,4343]/[LCM of 178,6266]= 101/557674
Therefore, the GCF of 4545/178,4343/6266 is 101/557674.
To find the highest common factor of 4545,4343, we have to find the factors of both numbers and list the highest common factor.
The factors of 4545 are 1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545
The factors of 4343 are 1, 43, 101, 4343
The HCF of 4545,4343 is 101.
Lets's calculate GCF of 4545,4343
| 101 | 4545, 4343 |
| 45, 43 |
∴ So the GCF of the given numbers is 101 = 101
Greatest Common Factor of 4545,4343 By Matching Biggest Common Factor Method
Now, list down the factors of 4545
:1,3,5,9,15,45,101,303,505,909,1515,4545
Now, list down the factors of 4343
:1,43,101,4343
Greatest Common Factor
We found the factors 4545,4343 . The biggest common factor number is the GCF number.
So the greatest common factor 4545,4343 is 101.
Lets's calculate LCM of 178,6266
| 2 | 178, 6266 |
| 89, 3133 |
∴ So the LCM of the given numbers is 2 x 89 x 3133 = 557674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/557674
Therefore, the GCF of Fractions 4545/178,4343/6266 is 101/557674
Least Common Multiple of 178,6266 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 178,6266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,6266) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,6266) x common factors =2 x 1 = 2
LCM(178,6266) = ( 178 × 6266 ) / 2
LCM(178,6266) = 1115348 / 2
LCM(178,6266) = 557674
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FAQs on GCF of Fractions of 4545/178, 4343/6266
1. What is the HCF of 4545,4343?
The HCF of 4545,4343 is 101
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 4545/178, 4343/6266?
Answer: GCF of Numerators as per given numbers 4545/178, 4343/6266 is
GCF of Numerators i.e. for 4545,4343 is 101
LCM of denominators i.e. for 178,6266 is 557674.
Thus, GCF of Fractions is 101/557674.Finally, GCF of Fractions for 4545/178, 4343/6266 is 101/557674.