GCF of 43/260, 75/733, 359/436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/260, 75/733, 359/436 i.e 1/20773220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/260, 75/733, 359/436.
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 43/260,75/733,359/436?
Given fractions are 43/260,75/733,359/436
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 43/260,75/733,359/436, numerators are 43,75,359
Denominators are 260,733,436
The GCF of 43,75,359 is 1 .
LCM of 260,733,436 is 20773220.
The greatest common factor of 43/260,75/733,359/436 = [GCF of 43,75,359]/[LCM of 260,733,436]= 1/20773220
Therefore, the GCF of 43/260,75/733,359/436 is 1/20773220.
To find the highest common factor of 43,75,359, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 359 are 1, 359
The HCF of 43,75,359 is 1.
Lets's calculate GCF of 43,75,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,75,359 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 359
:1,359
Greatest Common Factor
We found the factors 43,75,359 . The biggest common factor number is the GCF number.
So the greatest common factor 43,75,359 is 1.
Lets's calculate LCM of 260,733,436
| 2 | 260, 733, 436 |
| 2 | 130, 733, 218 |
| 65, 733, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 65 x 733 x 109 = 20773220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20773220
Therefore, the GCF of Fractions 43/260,75/733,359/436 is 1/20773220
Least Common Multiple of 260,733,436 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 260,733,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,733,436) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(260,733,436) x common factors =1 x 4 = 4
LCM(260,733,436) = ( 260 × 733 × 436 ) / 4
LCM(260,733,436) = 83092880 / 4
LCM(260,733,436) = 20773220
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FAQs on GCF of Fractions of 43/260, 75/733, 359/436
1. What is the HCF of 43,75,359?
The HCF of 43,75,359 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 43/260, 75/733, 359/436?
Answer: GCF of Numerators as per given numbers 43/260, 75/733, 359/436 is
GCF of Numerators i.e. for 43,75,359 is 1
LCM of denominators i.e. for 260,733,436 is 20773220.
Thus, GCF of Fractions is 1/20773220.Finally, GCF of Fractions for 43/260, 75/733, 359/436 is 1/20773220.