GCF of 8638/258, 3120/4923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8638/258, 3120/4923 i.e 2/423378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8638/258, 3120/4923.
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 8638/258,3120/4923?
Given fractions are 8638/258,3120/4923
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 8638/258,3120/4923, numerators are 8638,3120
Denominators are 258,4923
The GCF of 8638,3120 is 2 .
LCM of 258,4923 is 423378.
The greatest common factor of 8638/258,3120/4923 = [GCF of 8638,3120]/[LCM of 258,4923]= 2/423378
Therefore, the GCF of 8638/258,3120/4923 is 2/423378.
To find the highest common factor of 8638,3120, we have to find the factors of both numbers and list the highest common factor.
The factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638
The factors of 3120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120
The HCF of 8638,3120 is 2.
Lets's calculate GCF of 8638,3120
| 2 | 8638, 3120 |
| 4319, 1560 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8638,3120 By Matching Biggest Common Factor Method
Now, list down the factors of 8638
:1,2,7,14,617,1234,4319,8638
Now, list down the factors of 3120
:1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,39,40,48,52,60,65,78,80,104,120,130,156,195,208,240,260,312,390,520,624,780,1040,1560,3120
Greatest Common Factor
We found the factors 8638,3120 . The biggest common factor number is the GCF number.
So the greatest common factor 8638,3120 is 2.
Lets's calculate LCM of 258,4923
| 3 | 258, 4923 |
| 86, 1641 |
∴ So the LCM of the given numbers is 3 x 86 x 1641 = 423378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/423378
Therefore, the GCF of Fractions 8638/258,3120/4923 is 2/423378
Least Common Multiple of 258,4923 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 258,4923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,4923) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(258,4923) x common factors =3 x 1 = 3
LCM(258,4923) = ( 258 × 4923 ) / 3
LCM(258,4923) = 1270134 / 3
LCM(258,4923) = 423378
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FAQs on GCF of Fractions of 8638/258, 3120/4923
1. What is the HCF of 8638,3120?
The HCF of 8638,3120 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 8638/258, 3120/4923?
Answer: GCF of Numerators as per given numbers 8638/258, 3120/4923 is
GCF of Numerators i.e. for 8638,3120 is 2
LCM of denominators i.e. for 258,4923 is 423378.
Thus, GCF of Fractions is 2/423378.Finally, GCF of Fractions for 8638/258, 3120/4923 is 2/423378.