GCF of 873/203, 447/617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 873/203, 447/617 i.e 3/125251 easily. The following is the detailed procedure to determine the greatest common factor of fractions 873/203, 447/617.
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 873/203,447/617?
Given fractions are 873/203,447/617
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 873/203,447/617, numerators are 873,447
Denominators are 203,617
The GCF of 873,447 is 3 .
LCM of 203,617 is 125251.
The greatest common factor of 873/203,447/617 = [GCF of 873,447]/[LCM of 203,617]= 3/125251
Therefore, the GCF of 873/203,447/617 is 3/125251.
To find the highest common factor of 873,447, we have to find the factors of both numbers and list the highest common factor.
The factors of 873 are 1, 3, 9, 97, 291, 873
The factors of 447 are 1, 3, 149, 447
The HCF of 873,447 is 3.
Lets's calculate GCF of 873,447
| 3 | 873, 447 |
| 291, 149 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 873,447 By Matching Biggest Common Factor Method
Now, list down the factors of 873
:1,3,9,97,291,873
Now, list down the factors of 447
:1,3,149,447
Greatest Common Factor
We found the factors 873,447 . The biggest common factor number is the GCF number.
So the greatest common factor 873,447 is 3.
Lets's calculate LCM of 203,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 125251
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/125251
Therefore, the GCF of Fractions 873/203,447/617 is 3/125251
Least Common Multiple of 203,617 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 203,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,617) x common factors =1 x 1 = 1
LCM(203,617) = ( 203 × 617 ) / 1
LCM(203,617) = 125251 / 1
LCM(203,617) = 125251
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FAQs on GCF of Fractions of 873/203, 447/617
1. What is the HCF of 873,447?
The HCF of 873,447 is 3
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 873/203, 447/617?
Answer: GCF of Numerators as per given numbers 873/203, 447/617 is
GCF of Numerators i.e. for 873,447 is 3
LCM of denominators i.e. for 203,617 is 125251.
Thus, GCF of Fractions is 3/125251.Finally, GCF of Fractions for 873/203, 447/617 is 3/125251.