GCF of 891/865, 1131/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 891/865, 1131/978 i.e 3/845970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 891/865, 1131/978.
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 891/865,1131/978?
Given fractions are 891/865,1131/978
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 891/865,1131/978, numerators are 891,1131
Denominators are 865,978
The GCF of 891,1131 is 3 .
LCM of 865,978 is 845970.
The greatest common factor of 891/865,1131/978 = [GCF of 891,1131]/[LCM of 865,978]= 3/845970
Therefore, the GCF of 891/865,1131/978 is 3/845970.
To find the highest common factor of 891,1131, we have to find the factors of both numbers and list the highest common factor.
The factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
The factors of 1131 are 1, 3, 13, 29, 39, 87, 377, 1131
The HCF of 891,1131 is 3.
Lets's calculate GCF of 891,1131
| 3 | 891, 1131 |
| 297, 377 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 891,1131 By Matching Biggest Common Factor Method
Now, list down the factors of 891
:1,3,9,11,27,33,81,99,297,891
Now, list down the factors of 1131
:1,3,13,29,39,87,377,1131
Greatest Common Factor
We found the factors 891,1131 . The biggest common factor number is the GCF number.
So the greatest common factor 891,1131 is 3.
Lets's calculate LCM of 865,978
Given numbers has no common factors except 1. So, there LCM is their product i.e 845970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/845970
Therefore, the GCF of Fractions 891/865,1131/978 is 3/845970
Least Common Multiple of 865,978 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 865,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,978) x common factors =1 x 1 = 1
LCM(865,978) = ( 865 × 978 ) / 1
LCM(865,978) = 845970 / 1
LCM(865,978) = 845970
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FAQs on GCF of Fractions of 891/865, 1131/978
1. What is the HCF of 891,1131?
The HCF of 891,1131 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 891/865, 1131/978?
Answer: GCF of Numerators as per given numbers 891/865, 1131/978 is
GCF of Numerators i.e. for 891,1131 is 3
LCM of denominators i.e. for 865,978 is 845970.
Thus, GCF of Fractions is 3/845970.Finally, GCF of Fractions for 891/865, 1131/978 is 3/845970.