GCF of 885/205, 949/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 885/205, 949/289 i.e 1/59245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 885/205, 949/289.
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 885/205,949/289?
Given fractions are 885/205,949/289
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 885/205,949/289, numerators are 885,949
Denominators are 205,289
The GCF of 885,949 is 1 .
LCM of 205,289 is 59245.
The greatest common factor of 885/205,949/289 = [GCF of 885,949]/[LCM of 205,289]= 1/59245
Therefore, the GCF of 885/205,949/289 is 1/59245.
To find the highest common factor of 885,949, we have to find the factors of both numbers and list the highest common factor.
The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885
The factors of 949 are 1, 13, 73, 949
The HCF of 885,949 is 1.
Lets's calculate GCF of 885,949
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 885,949 By Matching Biggest Common Factor Method
Now, list down the factors of 885
:1,3,5,15,59,177,295,885
Now, list down the factors of 949
:1,13,73,949
Greatest Common Factor
We found the factors 885,949 . The biggest common factor number is the GCF number.
So the greatest common factor 885,949 is 1.
Lets's calculate LCM of 205,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 59245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59245
Therefore, the GCF of Fractions 885/205,949/289 is 1/59245
Least Common Multiple of 205,289 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 205,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,289) x common factors =1 x 1 = 1
LCM(205,289) = ( 205 × 289 ) / 1
LCM(205,289) = 59245 / 1
LCM(205,289) = 59245
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FAQs on GCF of Fractions of 885/205, 949/289
1. What is the HCF of 885,949?
The HCF of 885,949 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 885/205, 949/289?
Answer: GCF of Numerators as per given numbers 885/205, 949/289 is
GCF of Numerators i.e. for 885,949 is 1
LCM of denominators i.e. for 205,289 is 59245.
Thus, GCF of Fractions is 1/59245.Finally, GCF of Fractions for 885/205, 949/289 is 1/59245.