GCF of 410/58, 743/893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 410/58, 743/893 i.e 1/51794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/58, 743/893.
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 410/58,743/893?
Given fractions are 410/58,743/893
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 410/58,743/893, numerators are 410,743
Denominators are 58,893
The GCF of 410,743 is 1 .
LCM of 58,893 is 51794.
The greatest common factor of 410/58,743/893 = [GCF of 410,743]/[LCM of 58,893]= 1/51794
Therefore, the GCF of 410/58,743/893 is 1/51794.
To find the highest common factor of 410,743, we have to find the factors of both numbers and list the highest common factor.
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
The factors of 743 are 1, 743
The HCF of 410,743 is 1.
Lets's calculate GCF of 410,743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 410,743 By Matching Biggest Common Factor Method
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
Now, list down the factors of 743
:1,743
Greatest Common Factor
We found the factors 410,743 . The biggest common factor number is the GCF number.
So the greatest common factor 410,743 is 1.
Lets's calculate LCM of 58,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 51794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51794
Therefore, the GCF of Fractions 410/58,743/893 is 1/51794
Least Common Multiple of 58,893 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 58,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,893) x common factors =1 x 1 = 1
LCM(58,893) = ( 58 × 893 ) / 1
LCM(58,893) = 51794 / 1
LCM(58,893) = 51794
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FAQs on GCF of Fractions of 410/58, 743/893
1. What is the HCF of 410,743?
The HCF of 410,743 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 410/58, 743/893?
Answer: GCF of Numerators as per given numbers 410/58, 743/893 is
GCF of Numerators i.e. for 410,743 is 1
LCM of denominators i.e. for 58,893 is 51794.
Thus, GCF of Fractions is 1/51794.Finally, GCF of Fractions for 410/58, 743/893 is 1/51794.