GCF of 881/306, 343/184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 881/306, 343/184 i.e 1/28152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 881/306, 343/184.
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 881/306,343/184?
Given fractions are 881/306,343/184
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 881/306,343/184, numerators are 881,343
Denominators are 306,184
The GCF of 881,343 is 1 .
LCM of 306,184 is 28152.
The greatest common factor of 881/306,343/184 = [GCF of 881,343]/[LCM of 306,184]= 1/28152
Therefore, the GCF of 881/306,343/184 is 1/28152.
To find the highest common factor of 881,343, we have to find the factors of both numbers and list the highest common factor.
The factors of 881 are 1, 881
The factors of 343 are 1, 7, 49, 343
The HCF of 881,343 is 1.
Lets's calculate GCF of 881,343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 881,343 By Matching Biggest Common Factor Method
Now, list down the factors of 881
:1,881
Now, list down the factors of 343
:1,7,49,343
Greatest Common Factor
We found the factors 881,343 . The biggest common factor number is the GCF number.
So the greatest common factor 881,343 is 1.
Lets's calculate LCM of 306,184
| 2 | 306, 184 |
| 153, 92 |
∴ So the LCM of the given numbers is 2 x 153 x 92 = 28152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28152
Therefore, the GCF of Fractions 881/306,343/184 is 1/28152
Least Common Multiple of 306,184 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 306,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,184) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,184) x common factors =2 x 1 = 2
LCM(306,184) = ( 306 × 184 ) / 2
LCM(306,184) = 56304 / 2
LCM(306,184) = 28152
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FAQs on GCF of Fractions of 881/306, 343/184
1. What is the HCF of 881,343?
The HCF of 881,343 is 1
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 881/306, 343/184?
Answer: GCF of Numerators as per given numbers 881/306, 343/184 is
GCF of Numerators i.e. for 881,343 is 1
LCM of denominators i.e. for 306,184 is 28152.
Thus, GCF of Fractions is 1/28152.Finally, GCF of Fractions for 881/306, 343/184 is 1/28152.