GCF of 3911/658, 3939/716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3911/658, 3939/716 i.e 1/235564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3911/658, 3939/716.
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 3911/658,3939/716?
Given fractions are 3911/658,3939/716
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 3911/658,3939/716, numerators are 3911,3939
Denominators are 658,716
The GCF of 3911,3939 is 1 .
LCM of 658,716 is 235564.
The greatest common factor of 3911/658,3939/716 = [GCF of 3911,3939]/[LCM of 658,716]= 1/235564
Therefore, the GCF of 3911/658,3939/716 is 1/235564.
To find the highest common factor of 3911,3939, we have to find the factors of both numbers and list the highest common factor.
The factors of 3911 are 1, 3911
The factors of 3939 are 1, 3, 13, 39, 101, 303, 1313, 3939
The HCF of 3911,3939 is 1.
Lets's calculate GCF of 3911,3939
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3911,3939 By Matching Biggest Common Factor Method
Now, list down the factors of 3911
:1,3911
Now, list down the factors of 3939
:1,3,13,39,101,303,1313,3939
Greatest Common Factor
We found the factors 3911,3939 . The biggest common factor number is the GCF number.
So the greatest common factor 3911,3939 is 1.
Lets's calculate LCM of 658,716
| 2 | 658, 716 |
| 329, 358 |
∴ So the LCM of the given numbers is 2 x 329 x 358 = 235564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235564
Therefore, the GCF of Fractions 3911/658,3939/716 is 1/235564
Least Common Multiple of 658,716 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 658,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,716) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(658,716) x common factors =2 x 1 = 2
LCM(658,716) = ( 658 × 716 ) / 2
LCM(658,716) = 471128 / 2
LCM(658,716) = 235564
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FAQs on GCF of Fractions of 3911/658, 3939/716
1. What is the HCF of 3911,3939?
The HCF of 3911,3939 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 3911/658, 3939/716?
Answer: GCF of Numerators as per given numbers 3911/658, 3939/716 is
GCF of Numerators i.e. for 3911,3939 is 1
LCM of denominators i.e. for 658,716 is 235564.
Thus, GCF of Fractions is 1/235564.Finally, GCF of Fractions for 3911/658, 3939/716 is 1/235564.