GCF of 6484/740, 5886/8442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6484/740, 5886/8442 i.e 2/3123540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6484/740, 5886/8442.
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 6484/740,5886/8442?
Given fractions are 6484/740,5886/8442
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 6484/740,5886/8442, numerators are 6484,5886
Denominators are 740,8442
The GCF of 6484,5886 is 2 .
LCM of 740,8442 is 3123540.
The greatest common factor of 6484/740,5886/8442 = [GCF of 6484,5886]/[LCM of 740,8442]= 2/3123540
Therefore, the GCF of 6484/740,5886/8442 is 2/3123540.
To find the highest common factor of 6484,5886, we have to find the factors of both numbers and list the highest common factor.
The factors of 6484 are 1, 2, 4, 1621, 3242, 6484
The factors of 5886 are 1, 2, 3, 6, 9, 18, 27, 54, 109, 218, 327, 654, 981, 1962, 2943, 5886
The HCF of 6484,5886 is 2.
Lets's calculate GCF of 6484,5886
| 2 | 6484, 5886 |
| 3242, 2943 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6484,5886 By Matching Biggest Common Factor Method
Now, list down the factors of 6484
:1,2,4,1621,3242,6484
Now, list down the factors of 5886
:1,2,3,6,9,18,27,54,109,218,327,654,981,1962,2943,5886
Greatest Common Factor
We found the factors 6484,5886 . The biggest common factor number is the GCF number.
So the greatest common factor 6484,5886 is 2.
Lets's calculate LCM of 740,8442
| 2 | 740, 8442 |
| 370, 4221 |
∴ So the LCM of the given numbers is 2 x 370 x 4221 = 3123540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3123540
Therefore, the GCF of Fractions 6484/740,5886/8442 is 2/3123540
Least Common Multiple of 740,8442 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 740,8442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,8442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(740,8442) x common factors =2 x 1 = 2
LCM(740,8442) = ( 740 × 8442 ) / 2
LCM(740,8442) = 6247080 / 2
LCM(740,8442) = 3123540
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FAQs on GCF of Fractions of 6484/740, 5886/8442
1. What is the HCF of 6484,5886?
The HCF of 6484,5886 is 2
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 6484/740, 5886/8442?
Answer: GCF of Numerators as per given numbers 6484/740, 5886/8442 is
GCF of Numerators i.e. for 6484,5886 is 2
LCM of denominators i.e. for 740,8442 is 3123540.
Thus, GCF of Fractions is 2/3123540.Finally, GCF of Fractions for 6484/740, 5886/8442 is 2/3123540.