GCF of 1403/16, 3403/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1403/16, 3403/932 i.e 1/3728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1403/16, 3403/932.
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 1403/16,3403/932?
Given fractions are 1403/16,3403/932
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 1403/16,3403/932, numerators are 1403,3403
Denominators are 16,932
The GCF of 1403,3403 is 1 .
LCM of 16,932 is 3728.
The greatest common factor of 1403/16,3403/932 = [GCF of 1403,3403]/[LCM of 16,932]= 1/3728
Therefore, the GCF of 1403/16,3403/932 is 1/3728.
To find the highest common factor of 1403,3403, we have to find the factors of both numbers and list the highest common factor.
The factors of 1403 are 1, 23, 61, 1403
The factors of 3403 are 1, 41, 83, 3403
The HCF of 1403,3403 is 1.
Lets's calculate GCF of 1403,3403
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1403,3403 By Matching Biggest Common Factor Method
Now, list down the factors of 1403
:1,23,61,1403
Now, list down the factors of 3403
:1,41,83,3403
Greatest Common Factor
We found the factors 1403,3403 . The biggest common factor number is the GCF number.
So the greatest common factor 1403,3403 is 1.
Lets's calculate LCM of 16,932
| 2 | 16, 932 |
| 2 | 8, 466 |
| 4, 233 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 233 = 3728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3728
Therefore, the GCF of Fractions 1403/16,3403/932 is 1/3728
Least Common Multiple of 16,932 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 16,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,932) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(16,932) x common factors =4 x 1 = 4
LCM(16,932) = ( 16 × 932 ) / 4
LCM(16,932) = 14912 / 4
LCM(16,932) = 3728
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FAQs on GCF of Fractions of 1403/16, 3403/932
1. What is the HCF of 1403,3403?
The HCF of 1403,3403 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 1403/16, 3403/932?
Answer: GCF of Numerators as per given numbers 1403/16, 3403/932 is
GCF of Numerators i.e. for 1403,3403 is 1
LCM of denominators i.e. for 16,932 is 3728.
Thus, GCF of Fractions is 1/3728.Finally, GCF of Fractions for 1403/16, 3403/932 is 1/3728.