GCF of 3939/164, 5102/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3939/164, 5102/382 i.e 1/31324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3939/164, 5102/382.
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 3939/164,5102/382?
Given fractions are 3939/164,5102/382
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 3939/164,5102/382, numerators are 3939,5102
Denominators are 164,382
The GCF of 3939,5102 is 1 .
LCM of 164,382 is 31324.
The greatest common factor of 3939/164,5102/382 = [GCF of 3939,5102]/[LCM of 164,382]= 1/31324
Therefore, the GCF of 3939/164,5102/382 is 1/31324.
To find the highest common factor of 3939,5102, we have to find the factors of both numbers and list the highest common factor.
The factors of 3939 are 1, 3, 13, 39, 101, 303, 1313, 3939
The factors of 5102 are 1, 2, 2551, 5102
The HCF of 3939,5102 is 1.
Lets's calculate GCF of 3939,5102
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3939,5102 By Matching Biggest Common Factor Method
Now, list down the factors of 3939
:1,3,13,39,101,303,1313,3939
Now, list down the factors of 5102
:1,2,2551,5102
Greatest Common Factor
We found the factors 3939,5102 . The biggest common factor number is the GCF number.
So the greatest common factor 3939,5102 is 1.
Lets's calculate LCM of 164,382
| 2 | 164, 382 |
| 82, 191 |
∴ So the LCM of the given numbers is 2 x 82 x 191 = 31324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31324
Therefore, the GCF of Fractions 3939/164,5102/382 is 1/31324
Least Common Multiple of 164,382 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 164,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,382) x common factors =2 x 1 = 2
LCM(164,382) = ( 164 × 382 ) / 2
LCM(164,382) = 62648 / 2
LCM(164,382) = 31324
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FAQs on GCF of Fractions of 3939/164, 5102/382
1. What is the HCF of 3939,5102?
The HCF of 3939,5102 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 3939/164, 5102/382?
Answer: GCF of Numerators as per given numbers 3939/164, 5102/382 is
GCF of Numerators i.e. for 3939,5102 is 1
LCM of denominators i.e. for 164,382 is 31324.
Thus, GCF of Fractions is 1/31324.Finally, GCF of Fractions for 3939/164, 5102/382 is 1/31324.