GCF of 1802/131, 9458/2523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1802/131, 9458/2523 i.e 2/330513 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1802/131, 9458/2523.
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 1802/131,9458/2523?
Given fractions are 1802/131,9458/2523
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 1802/131,9458/2523, numerators are 1802,9458
Denominators are 131,2523
The GCF of 1802,9458 is 2 .
LCM of 131,2523 is 330513.
The greatest common factor of 1802/131,9458/2523 = [GCF of 1802,9458]/[LCM of 131,2523]= 2/330513
Therefore, the GCF of 1802/131,9458/2523 is 2/330513.
To find the highest common factor of 1802,9458, we have to find the factors of both numbers and list the highest common factor.
The factors of 1802 are 1, 2, 17, 34, 53, 106, 901, 1802
The factors of 9458 are 1, 2, 4729, 9458
The HCF of 1802,9458 is 2.
Lets's calculate GCF of 1802,9458
| 2 | 1802, 9458 |
| 901, 4729 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1802,9458 By Matching Biggest Common Factor Method
Now, list down the factors of 1802
:1,2,17,34,53,106,901,1802
Now, list down the factors of 9458
:1,2,4729,9458
Greatest Common Factor
We found the factors 1802,9458 . The biggest common factor number is the GCF number.
So the greatest common factor 1802,9458 is 2.
Lets's calculate LCM of 131,2523
Given numbers has no common factors except 1. So, there LCM is their product i.e 330513
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/330513
Therefore, the GCF of Fractions 1802/131,9458/2523 is 2/330513
Least Common Multiple of 131,2523 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 131,2523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,2523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,2523) x common factors =1 x 1 = 1
LCM(131,2523) = ( 131 × 2523 ) / 1
LCM(131,2523) = 330513 / 1
LCM(131,2523) = 330513
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FAQs on GCF of Fractions of 1802/131, 9458/2523
1. What is the HCF of 1802,9458?
The HCF of 1802,9458 is 2
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 1802/131, 9458/2523?
Answer: GCF of Numerators as per given numbers 1802/131, 9458/2523 is
GCF of Numerators i.e. for 1802,9458 is 2
LCM of denominators i.e. for 131,2523 is 330513.
Thus, GCF of Fractions is 2/330513.Finally, GCF of Fractions for 1802/131, 9458/2523 is 2/330513.