GCF of 1403/201, 8845/499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1403/201, 8845/499 i.e 61/100299 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1403/201, 8845/499.
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 1403/201,8845/499?
Given fractions are 1403/201,8845/499
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 1403/201,8845/499, numerators are 1403,8845
Denominators are 201,499
The GCF of 1403,8845 is 61 .
LCM of 201,499 is 100299.
The greatest common factor of 1403/201,8845/499 = [GCF of 1403,8845]/[LCM of 201,499]= 61/100299
Therefore, the GCF of 1403/201,8845/499 is 61/100299.
To find the highest common factor of 1403,8845, 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 8845 are 1, 5, 29, 61, 145, 305, 1769, 8845
The HCF of 1403,8845 is 61.
Lets's calculate GCF of 1403,8845
| 61 | 1403, 8845 |
| 23, 145 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 1403,8845 By Matching Biggest Common Factor Method
Now, list down the factors of 1403
:1,23,61,1403
Now, list down the factors of 8845
:1,5,29,61,145,305,1769,8845
Greatest Common Factor
We found the factors 1403,8845 . The biggest common factor number is the GCF number.
So the greatest common factor 1403,8845 is 61.
Lets's calculate LCM of 201,499
Given numbers has no common factors except 1. So, there LCM is their product i.e 100299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/100299
Therefore, the GCF of Fractions 1403/201,8845/499 is 61/100299
Least Common Multiple of 201,499 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 201,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,499) x common factors =1 x 1 = 1
LCM(201,499) = ( 201 × 499 ) / 1
LCM(201,499) = 100299 / 1
LCM(201,499) = 100299
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FAQs on GCF of Fractions of 1403/201, 8845/499
1. What is the HCF of 1403,8845?
The HCF of 1403,8845 is 61
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 1403/201, 8845/499?
Answer: GCF of Numerators as per given numbers 1403/201, 8845/499 is
GCF of Numerators i.e. for 1403,8845 is 61
LCM of denominators i.e. for 201,499 is 100299.
Thus, GCF of Fractions is 61/100299.Finally, GCF of Fractions for 1403/201, 8845/499 is 61/100299.