GCF of 3718/207, 5343/6784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3718/207, 5343/6784 i.e 13/1404288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3718/207, 5343/6784.
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 3718/207,5343/6784?
Given fractions are 3718/207,5343/6784
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 3718/207,5343/6784, numerators are 3718,5343
Denominators are 207,6784
The GCF of 3718,5343 is 13 .
LCM of 207,6784 is 1404288.
The greatest common factor of 3718/207,5343/6784 = [GCF of 3718,5343]/[LCM of 207,6784]= 13/1404288
Therefore, the GCF of 3718/207,5343/6784 is 13/1404288.
To find the highest common factor of 3718,5343, we have to find the factors of both numbers and list the highest common factor.
The factors of 3718 are 1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718
The factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343
The HCF of 3718,5343 is 13.
Lets's calculate GCF of 3718,5343
| 13 | 3718, 5343 |
| 286, 411 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3718,5343 By Matching Biggest Common Factor Method
Now, list down the factors of 3718
:1,2,11,13,22,26,143,169,286,338,1859,3718
Now, list down the factors of 5343
:1,3,13,39,137,411,1781,5343
Greatest Common Factor
We found the factors 3718,5343 . The biggest common factor number is the GCF number.
So the greatest common factor 3718,5343 is 13.
Lets's calculate LCM of 207,6784
Given numbers has no common factors except 1. So, there LCM is their product i.e 1404288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1404288
Therefore, the GCF of Fractions 3718/207,5343/6784 is 13/1404288
Least Common Multiple of 207,6784 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 207,6784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,6784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,6784) x common factors =1 x 1 = 1
LCM(207,6784) = ( 207 × 6784 ) / 1
LCM(207,6784) = 1404288 / 1
LCM(207,6784) = 1404288
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FAQs on GCF of Fractions of 3718/207, 5343/6784
1. What is the HCF of 3718,5343?
The HCF of 3718,5343 is 13
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 3718/207, 5343/6784?
Answer: GCF of Numerators as per given numbers 3718/207, 5343/6784 is
GCF of Numerators i.e. for 3718,5343 is 13
LCM of denominators i.e. for 207,6784 is 1404288.
Thus, GCF of Fractions is 13/1404288.Finally, GCF of Fractions for 3718/207, 5343/6784 is 13/1404288.