GCF of 6244/586, 1290/4666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6244/586, 1290/4666 i.e 2/1367138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6244/586, 1290/4666.
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 6244/586,1290/4666?
Given fractions are 6244/586,1290/4666
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 6244/586,1290/4666, numerators are 6244,1290
Denominators are 586,4666
The GCF of 6244,1290 is 2 .
LCM of 586,4666 is 1367138.
The greatest common factor of 6244/586,1290/4666 = [GCF of 6244,1290]/[LCM of 586,4666]= 2/1367138
Therefore, the GCF of 6244/586,1290/4666 is 2/1367138.
To find the highest common factor of 6244,1290, we have to find the factors of both numbers and list the highest common factor.
The factors of 6244 are 1, 2, 4, 7, 14, 28, 223, 446, 892, 1561, 3122, 6244
The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290
The HCF of 6244,1290 is 2.
Lets's calculate GCF of 6244,1290
| 2 | 6244, 1290 |
| 3122, 645 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6244,1290 By Matching Biggest Common Factor Method
Now, list down the factors of 6244
:1,2,4,7,14,28,223,446,892,1561,3122,6244
Now, list down the factors of 1290
:1,2,3,5,6,10,15,30,43,86,129,215,258,430,645,1290
Greatest Common Factor
We found the factors 6244,1290 . The biggest common factor number is the GCF number.
So the greatest common factor 6244,1290 is 2.
Lets's calculate LCM of 586,4666
| 2 | 586, 4666 |
| 293, 2333 |
∴ So the LCM of the given numbers is 2 x 293 x 2333 = 1367138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1367138
Therefore, the GCF of Fractions 6244/586,1290/4666 is 2/1367138
Least Common Multiple of 586,4666 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 586,4666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,4666) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,4666) x common factors =2 x 1 = 2
LCM(586,4666) = ( 586 × 4666 ) / 2
LCM(586,4666) = 2734276 / 2
LCM(586,4666) = 1367138
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FAQs on GCF of Fractions of 6244/586, 1290/4666
1. What is the HCF of 6244,1290?
The HCF of 6244,1290 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 6244/586, 1290/4666?
Answer: GCF of Numerators as per given numbers 6244/586, 1290/4666 is
GCF of Numerators i.e. for 6244,1290 is 2
LCM of denominators i.e. for 586,4666 is 1367138.
Thus, GCF of Fractions is 2/1367138.Finally, GCF of Fractions for 6244/586, 1290/4666 is 2/1367138.