GCF of 3894/979, 5731/306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3894/979, 5731/306 i.e 11/299574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3894/979, 5731/306.
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 3894/979,5731/306?
Given fractions are 3894/979,5731/306
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 3894/979,5731/306, numerators are 3894,5731
Denominators are 979,306
The GCF of 3894,5731 is 11 .
LCM of 979,306 is 299574.
The greatest common factor of 3894/979,5731/306 = [GCF of 3894,5731]/[LCM of 979,306]= 11/299574
Therefore, the GCF of 3894/979,5731/306 is 11/299574.
To find the highest common factor of 3894,5731, we have to find the factors of both numbers and list the highest common factor.
The factors of 3894 are 1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947, 3894
The factors of 5731 are 1, 11, 521, 5731
The HCF of 3894,5731 is 11.
Lets's calculate GCF of 3894,5731
| 11 | 3894, 5731 |
| 354, 521 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3894,5731 By Matching Biggest Common Factor Method
Now, list down the factors of 3894
:1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894
Now, list down the factors of 5731
:1,11,521,5731
Greatest Common Factor
We found the factors 3894,5731 . The biggest common factor number is the GCF number.
So the greatest common factor 3894,5731 is 11.
Lets's calculate LCM of 979,306
Given numbers has no common factors except 1. So, there LCM is their product i.e 299574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/299574
Therefore, the GCF of Fractions 3894/979,5731/306 is 11/299574
Least Common Multiple of 979,306 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 979,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,306) x common factors =1 x 1 = 1
LCM(979,306) = ( 979 × 306 ) / 1
LCM(979,306) = 299574 / 1
LCM(979,306) = 299574
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FAQs on GCF of Fractions of 3894/979, 5731/306
1. What is the HCF of 3894,5731?
The HCF of 3894,5731 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 3894/979, 5731/306?
Answer: GCF of Numerators as per given numbers 3894/979, 5731/306 is
GCF of Numerators i.e. for 3894,5731 is 11
LCM of denominators i.e. for 979,306 is 299574.
Thus, GCF of Fractions is 11/299574.Finally, GCF of Fractions for 3894/979, 5731/306 is 11/299574.