GCF of 873/25, 9738/865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 873/25, 9738/865 i.e 9/4325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 873/25, 9738/865.
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 873/25,9738/865?
Given fractions are 873/25,9738/865
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 873/25,9738/865, numerators are 873,9738
Denominators are 25,865
The GCF of 873,9738 is 9 .
LCM of 25,865 is 4325.
The greatest common factor of 873/25,9738/865 = [GCF of 873,9738]/[LCM of 25,865]= 9/4325
Therefore, the GCF of 873/25,9738/865 is 9/4325.
To find the highest common factor of 873,9738, 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 9738 are 1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738
The HCF of 873,9738 is 9.
Lets's calculate GCF of 873,9738
| 3 | 873, 9738 |
| 3 | 291, 3246 |
| 97, 1082 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 873,9738 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 9738
:1,2,3,6,9,18,541,1082,1623,3246,4869,9738
Greatest Common Factor
We found the factors 873,9738 . The biggest common factor number is the GCF number.
So the greatest common factor 873,9738 is 9.
Lets's calculate LCM of 25,865
| 5 | 25, 865 |
| 5, 173 |
∴ So the LCM of the given numbers is 5 x 5 x 173 = 4325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4325
Therefore, the GCF of Fractions 873/25,9738/865 is 9/4325
Least Common Multiple of 25,865 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 25,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,865) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(25,865) x common factors =5 x 1 = 5
LCM(25,865) = ( 25 × 865 ) / 5
LCM(25,865) = 21625 / 5
LCM(25,865) = 4325
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FAQs on GCF of Fractions of 873/25, 9738/865
1. What is the HCF of 873,9738?
The HCF of 873,9738 is 9
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 873/25, 9738/865?
Answer: GCF of Numerators as per given numbers 873/25, 9738/865 is
GCF of Numerators i.e. for 873,9738 is 9
LCM of denominators i.e. for 25,865 is 4325.
Thus, GCF of Fractions is 9/4325.Finally, GCF of Fractions for 873/25, 9738/865 is 9/4325.