GCF of 1403/452, 2133/1882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1403/452, 2133/1882 i.e 1/425332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1403/452, 2133/1882.
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 1403/452,2133/1882?
Given fractions are 1403/452,2133/1882
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 1403/452,2133/1882, numerators are 1403,2133
Denominators are 452,1882
The GCF of 1403,2133 is 1 .
LCM of 452,1882 is 425332.
The greatest common factor of 1403/452,2133/1882 = [GCF of 1403,2133]/[LCM of 452,1882]= 1/425332
Therefore, the GCF of 1403/452,2133/1882 is 1/425332.
To find the highest common factor of 1403,2133, 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 2133 are 1, 3, 9, 27, 79, 237, 711, 2133
The HCF of 1403,2133 is 1.
Lets's calculate GCF of 1403,2133
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1403,2133 By Matching Biggest Common Factor Method
Now, list down the factors of 1403
:1,23,61,1403
Now, list down the factors of 2133
:1,3,9,27,79,237,711,2133
Greatest Common Factor
We found the factors 1403,2133 . The biggest common factor number is the GCF number.
So the greatest common factor 1403,2133 is 1.
Lets's calculate LCM of 452,1882
| 2 | 452, 1882 |
| 226, 941 |
∴ So the LCM of the given numbers is 2 x 226 x 941 = 425332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/425332
Therefore, the GCF of Fractions 1403/452,2133/1882 is 1/425332
Least Common Multiple of 452,1882 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 452,1882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,1882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(452,1882) x common factors =2 x 1 = 2
LCM(452,1882) = ( 452 × 1882 ) / 2
LCM(452,1882) = 850664 / 2
LCM(452,1882) = 425332
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FAQs on GCF of Fractions of 1403/452, 2133/1882
1. What is the HCF of 1403,2133?
The HCF of 1403,2133 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 1403/452, 2133/1882?
Answer: GCF of Numerators as per given numbers 1403/452, 2133/1882 is
GCF of Numerators i.e. for 1403,2133 is 1
LCM of denominators i.e. for 452,1882 is 425332.
Thus, GCF of Fractions is 1/425332.Finally, GCF of Fractions for 1403/452, 2133/1882 is 1/425332.