GCF of 5308/130, 8283/2514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5308/130, 8283/2514 i.e 1/163410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5308/130, 8283/2514.
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 5308/130,8283/2514?
Given fractions are 5308/130,8283/2514
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 5308/130,8283/2514, numerators are 5308,8283
Denominators are 130,2514
The GCF of 5308,8283 is 1 .
LCM of 130,2514 is 163410.
The greatest common factor of 5308/130,8283/2514 = [GCF of 5308,8283]/[LCM of 130,2514]= 1/163410
Therefore, the GCF of 5308/130,8283/2514 is 1/163410.
To find the highest common factor of 5308,8283, we have to find the factors of both numbers and list the highest common factor.
The factors of 5308 are 1, 2, 4, 1327, 2654, 5308
The factors of 8283 are 1, 3, 11, 33, 251, 753, 2761, 8283
The HCF of 5308,8283 is 1.
Lets's calculate GCF of 5308,8283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5308,8283 By Matching Biggest Common Factor Method
Now, list down the factors of 5308
:1,2,4,1327,2654,5308
Now, list down the factors of 8283
:1,3,11,33,251,753,2761,8283
Greatest Common Factor
We found the factors 5308,8283 . The biggest common factor number is the GCF number.
So the greatest common factor 5308,8283 is 1.
Lets's calculate LCM of 130,2514
| 2 | 130, 2514 |
| 65, 1257 |
∴ So the LCM of the given numbers is 2 x 65 x 1257 = 163410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163410
Therefore, the GCF of Fractions 5308/130,8283/2514 is 1/163410
Least Common Multiple of 130,2514 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 130,2514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,2514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,2514) x common factors =2 x 1 = 2
LCM(130,2514) = ( 130 × 2514 ) / 2
LCM(130,2514) = 326820 / 2
LCM(130,2514) = 163410
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FAQs on GCF of Fractions of 5308/130, 8283/2514
1. What is the HCF of 5308,8283?
The HCF of 5308,8283 is 1
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 5308/130, 8283/2514?
Answer: GCF of Numerators as per given numbers 5308/130, 8283/2514 is
GCF of Numerators i.e. for 5308,8283 is 1
LCM of denominators i.e. for 130,2514 is 163410.
Thus, GCF of Fractions is 1/163410.Finally, GCF of Fractions for 5308/130, 8283/2514 is 1/163410.