GCF of 8332/112, 3793/3709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8332/112, 3793/3709 i.e 1/415408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8332/112, 3793/3709.
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 8332/112,3793/3709?
Given fractions are 8332/112,3793/3709
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 8332/112,3793/3709, numerators are 8332,3793
Denominators are 112,3709
The GCF of 8332,3793 is 1 .
LCM of 112,3709 is 415408.
The greatest common factor of 8332/112,3793/3709 = [GCF of 8332,3793]/[LCM of 112,3709]= 1/415408
Therefore, the GCF of 8332/112,3793/3709 is 1/415408.
To find the highest common factor of 8332,3793, we have to find the factors of both numbers and list the highest common factor.
The factors of 8332 are 1, 2, 4, 2083, 4166, 8332
The factors of 3793 are 1, 3793
The HCF of 8332,3793 is 1.
Lets's calculate GCF of 8332,3793
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8332,3793 By Matching Biggest Common Factor Method
Now, list down the factors of 8332
:1,2,4,2083,4166,8332
Now, list down the factors of 3793
:1,3793
Greatest Common Factor
We found the factors 8332,3793 . The biggest common factor number is the GCF number.
So the greatest common factor 8332,3793 is 1.
Lets's calculate LCM of 112,3709
Given numbers has no common factors except 1. So, there LCM is their product i.e 415408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/415408
Therefore, the GCF of Fractions 8332/112,3793/3709 is 1/415408
Least Common Multiple of 112,3709 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 112,3709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,3709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(112,3709) x common factors =1 x 1 = 1
LCM(112,3709) = ( 112 × 3709 ) / 1
LCM(112,3709) = 415408 / 1
LCM(112,3709) = 415408
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FAQs on GCF of Fractions of 8332/112, 3793/3709
1. What is the HCF of 8332,3793?
The HCF of 8332,3793 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 8332/112, 3793/3709?
Answer: GCF of Numerators as per given numbers 8332/112, 3793/3709 is
GCF of Numerators i.e. for 8332,3793 is 1
LCM of denominators i.e. for 112,3709 is 415408.
Thus, GCF of Fractions is 1/415408.Finally, GCF of Fractions for 8332/112, 3793/3709 is 1/415408.