GCF of 6735/634, 5394/3908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6735/634, 5394/3908 i.e 3/1238836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6735/634, 5394/3908.
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 6735/634,5394/3908?
Given fractions are 6735/634,5394/3908
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 6735/634,5394/3908, numerators are 6735,5394
Denominators are 634,3908
The GCF of 6735,5394 is 3 .
LCM of 634,3908 is 1238836.
The greatest common factor of 6735/634,5394/3908 = [GCF of 6735,5394]/[LCM of 634,3908]= 3/1238836
Therefore, the GCF of 6735/634,5394/3908 is 3/1238836.
To find the highest common factor of 6735,5394, we have to find the factors of both numbers and list the highest common factor.
The factors of 6735 are 1, 3, 5, 15, 449, 1347, 2245, 6735
The factors of 5394 are 1, 2, 3, 6, 29, 31, 58, 62, 87, 93, 174, 186, 899, 1798, 2697, 5394
The HCF of 6735,5394 is 3.
Lets's calculate GCF of 6735,5394
| 3 | 6735, 5394 |
| 2245, 1798 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6735,5394 By Matching Biggest Common Factor Method
Now, list down the factors of 6735
:1,3,5,15,449,1347,2245,6735
Now, list down the factors of 5394
:1,2,3,6,29,31,58,62,87,93,174,186,899,1798,2697,5394
Greatest Common Factor
We found the factors 6735,5394 . The biggest common factor number is the GCF number.
So the greatest common factor 6735,5394 is 3.
Lets's calculate LCM of 634,3908
| 2 | 634, 3908 |
| 317, 1954 |
∴ So the LCM of the given numbers is 2 x 317 x 1954 = 1238836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1238836
Therefore, the GCF of Fractions 6735/634,5394/3908 is 3/1238836
Least Common Multiple of 634,3908 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 634,3908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,3908) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,3908) x common factors =2 x 1 = 2
LCM(634,3908) = ( 634 × 3908 ) / 2
LCM(634,3908) = 2477672 / 2
LCM(634,3908) = 1238836
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6735/634, 5394/3908
1. What is the HCF of 6735,5394?
The HCF of 6735,5394 is 3
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 6735/634, 5394/3908?
Answer: GCF of Numerators as per given numbers 6735/634, 5394/3908 is
GCF of Numerators i.e. for 6735,5394 is 3
LCM of denominators i.e. for 634,3908 is 1238836.
Thus, GCF of Fractions is 3/1238836.Finally, GCF of Fractions for 6735/634, 5394/3908 is 3/1238836.