GCF of 5102/318, 1430/8805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5102/318, 1430/8805 i.e 2/933330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5102/318, 1430/8805.
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 5102/318,1430/8805?
Given fractions are 5102/318,1430/8805
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 5102/318,1430/8805, numerators are 5102,1430
Denominators are 318,8805
The GCF of 5102,1430 is 2 .
LCM of 318,8805 is 933330.
The greatest common factor of 5102/318,1430/8805 = [GCF of 5102,1430]/[LCM of 318,8805]= 2/933330
Therefore, the GCF of 5102/318,1430/8805 is 2/933330.
To find the highest common factor of 5102,1430, we have to find the factors of both numbers and list the highest common factor.
The factors of 5102 are 1, 2, 2551, 5102
The factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430
The HCF of 5102,1430 is 2.
Lets's calculate GCF of 5102,1430
| 2 | 5102, 1430 |
| 2551, 715 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5102,1430 By Matching Biggest Common Factor Method
Now, list down the factors of 5102
:1,2,2551,5102
Now, list down the factors of 1430
:1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430
Greatest Common Factor
We found the factors 5102,1430 . The biggest common factor number is the GCF number.
So the greatest common factor 5102,1430 is 2.
Lets's calculate LCM of 318,8805
| 3 | 318, 8805 |
| 106, 2935 |
∴ So the LCM of the given numbers is 3 x 106 x 2935 = 933330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/933330
Therefore, the GCF of Fractions 5102/318,1430/8805 is 2/933330
Least Common Multiple of 318,8805 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 318,8805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,8805) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(318,8805) x common factors =3 x 1 = 3
LCM(318,8805) = ( 318 × 8805 ) / 3
LCM(318,8805) = 2799990 / 3
LCM(318,8805) = 933330
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FAQs on GCF of Fractions of 5102/318, 1430/8805
1. What is the HCF of 5102,1430?
The HCF of 5102,1430 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 5102/318, 1430/8805?
Answer: GCF of Numerators as per given numbers 5102/318, 1430/8805 is
GCF of Numerators i.e. for 5102,1430 is 2
LCM of denominators i.e. for 318,8805 is 933330.
Thus, GCF of Fractions is 2/933330.Finally, GCF of Fractions for 5102/318, 1430/8805 is 2/933330.