GCF of 741/307, 558/142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 741/307, 558/142 i.e 3/43594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/307, 558/142.
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 741/307,558/142?
Given fractions are 741/307,558/142
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 741/307,558/142, numerators are 741,558
Denominators are 307,142
The GCF of 741,558 is 3 .
LCM of 307,142 is 43594.
The greatest common factor of 741/307,558/142 = [GCF of 741,558]/[LCM of 307,142]= 3/43594
Therefore, the GCF of 741/307,558/142 is 3/43594.
To find the highest common factor of 741,558, we have to find the factors of both numbers and list the highest common factor.
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
The HCF of 741,558 is 3.
Lets's calculate GCF of 741,558
| 3 | 741, 558 |
| 247, 186 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 741,558 By Matching Biggest Common Factor Method
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 558
:1,2,3,6,9,18,31,62,93,186,279,558
Greatest Common Factor
We found the factors 741,558 . The biggest common factor number is the GCF number.
So the greatest common factor 741,558 is 3.
Lets's calculate LCM of 307,142
Given numbers has no common factors except 1. So, there LCM is their product i.e 43594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43594
Therefore, the GCF of Fractions 741/307,558/142 is 3/43594
Least Common Multiple of 307,142 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 307,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,142) x common factors =1 x 1 = 1
LCM(307,142) = ( 307 × 142 ) / 1
LCM(307,142) = 43594 / 1
LCM(307,142) = 43594
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FAQs on GCF of Fractions of 741/307, 558/142
1. What is the HCF of 741,558?
The HCF of 741,558 is 3
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 741/307, 558/142?
Answer: GCF of Numerators as per given numbers 741/307, 558/142 is
GCF of Numerators i.e. for 741,558 is 3
LCM of denominators i.e. for 307,142 is 43594.
Thus, GCF of Fractions is 3/43594.Finally, GCF of Fractions for 741/307, 558/142 is 3/43594.