GCF of 5850/786, 4258/9918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5850/786, 4258/9918 i.e 2/1299258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5850/786, 4258/9918.
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 5850/786,4258/9918?
Given fractions are 5850/786,4258/9918
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 5850/786,4258/9918, numerators are 5850,4258
Denominators are 786,9918
The GCF of 5850,4258 is 2 .
LCM of 786,9918 is 1299258.
The greatest common factor of 5850/786,4258/9918 = [GCF of 5850,4258]/[LCM of 786,9918]= 2/1299258
Therefore, the GCF of 5850/786,4258/9918 is 2/1299258.
To find the highest common factor of 5850,4258, we have to find the factors of both numbers and list the highest common factor.
The factors of 5850 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850
The factors of 4258 are 1, 2, 2129, 4258
The HCF of 5850,4258 is 2.
Lets's calculate GCF of 5850,4258
| 2 | 5850, 4258 |
| 2925, 2129 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5850,4258 By Matching Biggest Common Factor Method
Now, list down the factors of 5850
:1,2,3,5,6,9,10,13,15,18,25,26,30,39,45,50,65,75,78,90,117,130,150,195,225,234,325,390,450,585,650,975,1170,1950,2925,5850
Now, list down the factors of 4258
:1,2,2129,4258
Greatest Common Factor
We found the factors 5850,4258 . The biggest common factor number is the GCF number.
So the greatest common factor 5850,4258 is 2.
Lets's calculate LCM of 786,9918
| 2 | 786, 9918 |
| 3 | 393, 4959 |
| 131, 1653 |
∴ So the LCM of the given numbers is 2 x 3 x 131 x 1653 = 1299258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1299258
Therefore, the GCF of Fractions 5850/786,4258/9918 is 2/1299258
Least Common Multiple of 786,9918 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 786,9918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,9918) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(786,9918) x common factors =6 x 1 = 6
LCM(786,9918) = ( 786 × 9918 ) / 6
LCM(786,9918) = 7795548 / 6
LCM(786,9918) = 1299258
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FAQs on GCF of Fractions of 5850/786, 4258/9918
1. What is the HCF of 5850,4258?
The HCF of 5850,4258 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 5850/786, 4258/9918?
Answer: GCF of Numerators as per given numbers 5850/786, 4258/9918 is
GCF of Numerators i.e. for 5850,4258 is 2
LCM of denominators i.e. for 786,9918 is 1299258.
Thus, GCF of Fractions is 2/1299258.Finally, GCF of Fractions for 5850/786, 4258/9918 is 2/1299258.