GCF of 5744/636, 5908/8089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5744/636, 5908/8089 i.e 4/5144604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5744/636, 5908/8089.
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 5744/636,5908/8089?
Given fractions are 5744/636,5908/8089
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 5744/636,5908/8089, numerators are 5744,5908
Denominators are 636,8089
The GCF of 5744,5908 is 4 .
LCM of 636,8089 is 5144604.
The greatest common factor of 5744/636,5908/8089 = [GCF of 5744,5908]/[LCM of 636,8089]= 4/5144604
Therefore, the GCF of 5744/636,5908/8089 is 4/5144604.
To find the highest common factor of 5744,5908, we have to find the factors of both numbers and list the highest common factor.
The factors of 5744 are 1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744
The factors of 5908 are 1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908
The HCF of 5744,5908 is 4.
Lets's calculate GCF of 5744,5908
| 2 | 5744, 5908 |
| 2 | 2872, 2954 |
| 1436, 1477 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5744,5908 By Matching Biggest Common Factor Method
Now, list down the factors of 5744
:1,2,4,8,16,359,718,1436,2872,5744
Now, list down the factors of 5908
:1,2,4,7,14,28,211,422,844,1477,2954,5908
Greatest Common Factor
We found the factors 5744,5908 . The biggest common factor number is the GCF number.
So the greatest common factor 5744,5908 is 4.
Lets's calculate LCM of 636,8089
Given numbers has no common factors except 1. So, there LCM is their product i.e 5144604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5144604
Therefore, the GCF of Fractions 5744/636,5908/8089 is 4/5144604
Least Common Multiple of 636,8089 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 636,8089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,8089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(636,8089) x common factors =1 x 1 = 1
LCM(636,8089) = ( 636 × 8089 ) / 1
LCM(636,8089) = 5144604 / 1
LCM(636,8089) = 5144604
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FAQs on GCF of Fractions of 5744/636, 5908/8089
1. What is the HCF of 5744,5908?
The HCF of 5744,5908 is 4
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 5744/636, 5908/8089?
Answer: GCF of Numerators as per given numbers 5744/636, 5908/8089 is
GCF of Numerators i.e. for 5744,5908 is 4
LCM of denominators i.e. for 636,8089 is 5144604.
Thus, GCF of Fractions is 4/5144604.Finally, GCF of Fractions for 5744/636, 5908/8089 is 4/5144604.