GCF of 46/39, 538/47, 741/928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 46/39, 538/47, 741/928 i.e 1/1701024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/39, 538/47, 741/928.
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 46/39,538/47,741/928?
Given fractions are 46/39,538/47,741/928
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 46/39,538/47,741/928, numerators are 46,538,741
Denominators are 39,47,928
The GCF of 46,538,741 is 1 .
LCM of 39,47,928 is 1701024.
The greatest common factor of 46/39,538/47,741/928 = [GCF of 46,538,741]/[LCM of 39,47,928]= 1/1701024
Therefore, the GCF of 46/39,538/47,741/928 is 1/1701024.
To find the highest common factor of 46,538,741, we have to find the factors of both numbers and list the highest common factor.
The factors of 46 are 1, 2, 23, 46
The factors of 538 are 1, 2, 269, 538
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The HCF of 46,538,741 is 1.
Lets's calculate GCF of 46,538,741
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 46,538,741 By Matching Biggest Common Factor Method
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 538
:1,2,269,538
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 46,538,741 . The biggest common factor number is the GCF number.
So the greatest common factor 46,538,741 is 1.
Lets's calculate LCM of 39,47,928
Given numbers has no common factors except 1. So, there LCM is their product i.e 1701024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1701024
Therefore, the GCF of Fractions 46/39,538/47,741/928 is 1/1701024
Least Common Multiple of 39,47,928 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 39,47,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,47,928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,47,928) x common factors =1 x 1 = 1
LCM(39,47,928) = ( 39 × 47 × 928 ) / 1
LCM(39,47,928) = 1701024 / 1
LCM(39,47,928) = 1701024
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FAQs on GCF of Fractions of 46/39, 538/47, 741/928
1. What is the HCF of 46,538,741?
The HCF of 46,538,741 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 46/39, 538/47, 741/928?
Answer: GCF of Numerators as per given numbers 46/39, 538/47, 741/928 is
GCF of Numerators i.e. for 46,538,741 is 1
LCM of denominators i.e. for 39,47,928 is 1701024.
Thus, GCF of Fractions is 1/1701024.Finally, GCF of Fractions for 46/39, 538/47, 741/928 is 1/1701024.