GCF of 1403/303, 1928/738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1403/303, 1928/738 i.e 1/74538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1403/303, 1928/738.
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 1403/303,1928/738?
Given fractions are 1403/303,1928/738
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 1403/303,1928/738, numerators are 1403,1928
Denominators are 303,738
The GCF of 1403,1928 is 1 .
LCM of 303,738 is 74538.
The greatest common factor of 1403/303,1928/738 = [GCF of 1403,1928]/[LCM of 303,738]= 1/74538
Therefore, the GCF of 1403/303,1928/738 is 1/74538.
To find the highest common factor of 1403,1928, 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 1928 are 1, 2, 4, 8, 241, 482, 964, 1928
The HCF of 1403,1928 is 1.
Lets's calculate GCF of 1403,1928
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1403,1928 By Matching Biggest Common Factor Method
Now, list down the factors of 1403
:1,23,61,1403
Now, list down the factors of 1928
:1,2,4,8,241,482,964,1928
Greatest Common Factor
We found the factors 1403,1928 . The biggest common factor number is the GCF number.
So the greatest common factor 1403,1928 is 1.
Lets's calculate LCM of 303,738
| 3 | 303, 738 |
| 101, 246 |
∴ So the LCM of the given numbers is 3 x 101 x 246 = 74538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74538
Therefore, the GCF of Fractions 1403/303,1928/738 is 1/74538
Least Common Multiple of 303,738 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 303,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,738) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(303,738) x common factors =3 x 1 = 3
LCM(303,738) = ( 303 × 738 ) / 3
LCM(303,738) = 223614 / 3
LCM(303,738) = 74538
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FAQs on GCF of Fractions of 1403/303, 1928/738
1. What is the HCF of 1403,1928?
The HCF of 1403,1928 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 1403/303, 1928/738?
Answer: GCF of Numerators as per given numbers 1403/303, 1928/738 is
GCF of Numerators i.e. for 1403,1928 is 1
LCM of denominators i.e. for 303,738 is 74538.
Thus, GCF of Fractions is 1/74538.Finally, GCF of Fractions for 1403/303, 1928/738 is 1/74538.