GCF of 9267/897, 9711/5874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9267/897, 9711/5874 i.e 3/1756326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9267/897, 9711/5874.
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 9267/897,9711/5874?
Given fractions are 9267/897,9711/5874
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 9267/897,9711/5874, numerators are 9267,9711
Denominators are 897,5874
The GCF of 9267,9711 is 3 .
LCM of 897,5874 is 1756326.
The greatest common factor of 9267/897,9711/5874 = [GCF of 9267,9711]/[LCM of 897,5874]= 3/1756326
Therefore, the GCF of 9267/897,9711/5874 is 3/1756326.
To find the highest common factor of 9267,9711, we have to find the factors of both numbers and list the highest common factor.
The factors of 9267 are 1, 3, 3089, 9267
The factors of 9711 are 1, 3, 9, 13, 39, 83, 117, 249, 747, 1079, 3237, 9711
The HCF of 9267,9711 is 3.
Lets's calculate GCF of 9267,9711
| 3 | 9267, 9711 |
| 3089, 3237 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9267,9711 By Matching Biggest Common Factor Method
Now, list down the factors of 9267
:1,3,3089,9267
Now, list down the factors of 9711
:1,3,9,13,39,83,117,249,747,1079,3237,9711
Greatest Common Factor
We found the factors 9267,9711 . The biggest common factor number is the GCF number.
So the greatest common factor 9267,9711 is 3.
Lets's calculate LCM of 897,5874
| 3 | 897, 5874 |
| 299, 1958 |
∴ So the LCM of the given numbers is 3 x 299 x 1958 = 1756326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1756326
Therefore, the GCF of Fractions 9267/897,9711/5874 is 3/1756326
Least Common Multiple of 897,5874 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 897,5874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,5874) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(897,5874) x common factors =3 x 1 = 3
LCM(897,5874) = ( 897 × 5874 ) / 3
LCM(897,5874) = 5268978 / 3
LCM(897,5874) = 1756326
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FAQs on GCF of Fractions of 9267/897, 9711/5874
1. What is the HCF of 9267,9711?
The HCF of 9267,9711 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 9267/897, 9711/5874?
Answer: GCF of Numerators as per given numbers 9267/897, 9711/5874 is
GCF of Numerators i.e. for 9267,9711 is 3
LCM of denominators i.e. for 897,5874 is 1756326.
Thus, GCF of Fractions is 3/1756326.Finally, GCF of Fractions for 9267/897, 9711/5874 is 3/1756326.