GCF of 5886/940, 9290/5708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5886/940, 9290/5708 i.e 2/1341380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5886/940, 9290/5708.
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 5886/940,9290/5708?
Given fractions are 5886/940,9290/5708
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 5886/940,9290/5708, numerators are 5886,9290
Denominators are 940,5708
The GCF of 5886,9290 is 2 .
LCM of 940,5708 is 1341380.
The greatest common factor of 5886/940,9290/5708 = [GCF of 5886,9290]/[LCM of 940,5708]= 2/1341380
Therefore, the GCF of 5886/940,9290/5708 is 2/1341380.
To find the highest common factor of 5886,9290, we have to find the factors of both numbers and list the highest common factor.
The factors of 5886 are 1, 2, 3, 6, 9, 18, 27, 54, 109, 218, 327, 654, 981, 1962, 2943, 5886
The factors of 9290 are 1, 2, 5, 10, 929, 1858, 4645, 9290
The HCF of 5886,9290 is 2.
Lets's calculate GCF of 5886,9290
| 2 | 5886, 9290 |
| 2943, 4645 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5886,9290 By Matching Biggest Common Factor Method
Now, list down the factors of 5886
:1,2,3,6,9,18,27,54,109,218,327,654,981,1962,2943,5886
Now, list down the factors of 9290
:1,2,5,10,929,1858,4645,9290
Greatest Common Factor
We found the factors 5886,9290 . The biggest common factor number is the GCF number.
So the greatest common factor 5886,9290 is 2.
Lets's calculate LCM of 940,5708
| 2 | 940, 5708 |
| 2 | 470, 2854 |
| 235, 1427 |
∴ So the LCM of the given numbers is 2 x 2 x 235 x 1427 = 1341380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1341380
Therefore, the GCF of Fractions 5886/940,9290/5708 is 2/1341380
Least Common Multiple of 940,5708 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 940,5708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,5708) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(940,5708) x common factors =4 x 1 = 4
LCM(940,5708) = ( 940 × 5708 ) / 4
LCM(940,5708) = 5365520 / 4
LCM(940,5708) = 1341380
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FAQs on GCF of Fractions of 5886/940, 9290/5708
1. What is the HCF of 5886,9290?
The HCF of 5886,9290 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 5886/940, 9290/5708?
Answer: GCF of Numerators as per given numbers 5886/940, 9290/5708 is
GCF of Numerators i.e. for 5886,9290 is 2
LCM of denominators i.e. for 940,5708 is 1341380.
Thus, GCF of Fractions is 2/1341380.Finally, GCF of Fractions for 5886/940, 9290/5708 is 2/1341380.