GCF of 3766/311, 9730/131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3766/311, 9730/131 i.e 14/40741 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3766/311, 9730/131.
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 3766/311,9730/131?
Given fractions are 3766/311,9730/131
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 3766/311,9730/131, numerators are 3766,9730
Denominators are 311,131
The GCF of 3766,9730 is 14 .
LCM of 311,131 is 40741.
The greatest common factor of 3766/311,9730/131 = [GCF of 3766,9730]/[LCM of 311,131]= 14/40741
Therefore, the GCF of 3766/311,9730/131 is 14/40741.
To find the highest common factor of 3766,9730, we have to find the factors of both numbers and list the highest common factor.
The factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766
The factors of 9730 are 1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730
The HCF of 3766,9730 is 14.
Lets's calculate GCF of 3766,9730
| 2 | 3766, 9730 |
| 7 | 1883, 4865 |
| 269, 695 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 3766,9730 By Matching Biggest Common Factor Method
Now, list down the factors of 3766
:1,2,7,14,269,538,1883,3766
Now, list down the factors of 9730
:1,2,5,7,10,14,35,70,139,278,695,973,1390,1946,4865,9730
Greatest Common Factor
We found the factors 3766,9730 . The biggest common factor number is the GCF number.
So the greatest common factor 3766,9730 is 14.
Lets's calculate LCM of 311,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 40741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/40741
Therefore, the GCF of Fractions 3766/311,9730/131 is 14/40741
Least Common Multiple of 311,131 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 311,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,131) x common factors =1 x 1 = 1
LCM(311,131) = ( 311 × 131 ) / 1
LCM(311,131) = 40741 / 1
LCM(311,131) = 40741
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FAQs on GCF of Fractions of 3766/311, 9730/131
1. What is the HCF of 3766,9730?
The HCF of 3766,9730 is 14
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 3766/311, 9730/131?
Answer: GCF of Numerators as per given numbers 3766/311, 9730/131 is
GCF of Numerators i.e. for 3766,9730 is 14
LCM of denominators i.e. for 311,131 is 40741.
Thus, GCF of Fractions is 14/40741.Finally, GCF of Fractions for 3766/311, 9730/131 is 14/40741.