GCF of 891/415, 319/680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 891/415, 319/680 i.e 11/56440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 891/415, 319/680.
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 891/415,319/680?
Given fractions are 891/415,319/680
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 891/415,319/680, numerators are 891,319
Denominators are 415,680
The GCF of 891,319 is 11 .
LCM of 415,680 is 56440.
The greatest common factor of 891/415,319/680 = [GCF of 891,319]/[LCM of 415,680]= 11/56440
Therefore, the GCF of 891/415,319/680 is 11/56440.
To find the highest common factor of 891,319, 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 319 are 1, 11, 29, 319
The HCF of 891,319 is 11.
Lets's calculate GCF of 891,319
| 11 | 891, 319 |
| 81, 29 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 891,319 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 319
:1,11,29,319
Greatest Common Factor
We found the factors 891,319 . The biggest common factor number is the GCF number.
So the greatest common factor 891,319 is 11.
Lets's calculate LCM of 415,680
| 5 | 415, 680 |
| 83, 136 |
∴ So the LCM of the given numbers is 5 x 83 x 136 = 56440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/56440
Therefore, the GCF of Fractions 891/415,319/680 is 11/56440
Least Common Multiple of 415,680 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 415,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,680) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(415,680) x common factors =5 x 1 = 5
LCM(415,680) = ( 415 × 680 ) / 5
LCM(415,680) = 282200 / 5
LCM(415,680) = 56440
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FAQs on GCF of Fractions of 891/415, 319/680
1. What is the HCF of 891,319?
The HCF of 891,319 is 11
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 891/415, 319/680?
Answer: GCF of Numerators as per given numbers 891/415, 319/680 is
GCF of Numerators i.e. for 891,319 is 11
LCM of denominators i.e. for 415,680 is 56440.
Thus, GCF of Fractions is 11/56440.Finally, GCF of Fractions for 891/415, 319/680 is 11/56440.