GCF of 5909/744, 3171/8622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5909/744, 3171/8622 i.e 1/1069128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5909/744, 3171/8622.
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 5909/744,3171/8622?
Given fractions are 5909/744,3171/8622
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 5909/744,3171/8622, numerators are 5909,3171
Denominators are 744,8622
The GCF of 5909,3171 is 1 .
LCM of 744,8622 is 1069128.
The greatest common factor of 5909/744,3171/8622 = [GCF of 5909,3171]/[LCM of 744,8622]= 1/1069128
Therefore, the GCF of 5909/744,3171/8622 is 1/1069128.
To find the highest common factor of 5909,3171, we have to find the factors of both numbers and list the highest common factor.
The factors of 5909 are 1, 19, 311, 5909
The factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171
The HCF of 5909,3171 is 1.
Lets's calculate GCF of 5909,3171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5909,3171 By Matching Biggest Common Factor Method
Now, list down the factors of 5909
:1,19,311,5909
Now, list down the factors of 3171
:1,3,7,21,151,453,1057,3171
Greatest Common Factor
We found the factors 5909,3171 . The biggest common factor number is the GCF number.
So the greatest common factor 5909,3171 is 1.
Lets's calculate LCM of 744,8622
| 2 | 744, 8622 |
| 3 | 372, 4311 |
| 124, 1437 |
∴ So the LCM of the given numbers is 2 x 3 x 124 x 1437 = 1069128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1069128
Therefore, the GCF of Fractions 5909/744,3171/8622 is 1/1069128
Least Common Multiple of 744,8622 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 744,8622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,8622) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(744,8622) x common factors =6 x 1 = 6
LCM(744,8622) = ( 744 × 8622 ) / 6
LCM(744,8622) = 6414768 / 6
LCM(744,8622) = 1069128
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FAQs on GCF of Fractions of 5909/744, 3171/8622
1. What is the HCF of 5909,3171?
The HCF of 5909,3171 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 5909/744, 3171/8622?
Answer: GCF of Numerators as per given numbers 5909/744, 3171/8622 is
GCF of Numerators i.e. for 5909,3171 is 1
LCM of denominators i.e. for 744,8622 is 1069128.
Thus, GCF of Fractions is 1/1069128.Finally, GCF of Fractions for 5909/744, 3171/8622 is 1/1069128.