GCF of 1308/104, 5190/5025
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1308/104, 5190/5025 i.e 6/522600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1308/104, 5190/5025.
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 1308/104,5190/5025?
Given fractions are 1308/104,5190/5025
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 1308/104,5190/5025, numerators are 1308,5190
Denominators are 104,5025
The GCF of 1308,5190 is 6 .
LCM of 104,5025 is 522600.
The greatest common factor of 1308/104,5190/5025 = [GCF of 1308,5190]/[LCM of 104,5025]= 6/522600
Therefore, the GCF of 1308/104,5190/5025 is 6/522600.
To find the highest common factor of 1308,5190, we have to find the factors of both numbers and list the highest common factor.
The factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308
The factors of 5190 are 1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190
The HCF of 1308,5190 is 6.
Lets's calculate GCF of 1308,5190
| 2 | 1308, 5190 |
| 3 | 654, 2595 |
| 218, 865 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1308,5190 By Matching Biggest Common Factor Method
Now, list down the factors of 1308
:1,2,3,4,6,12,109,218,327,436,654,1308
Now, list down the factors of 5190
:1,2,3,5,6,10,15,30,173,346,519,865,1038,1730,2595,5190
Greatest Common Factor
We found the factors 1308,5190 . The biggest common factor number is the GCF number.
So the greatest common factor 1308,5190 is 6.
Lets's calculate LCM of 104,5025
Given numbers has no common factors except 1. So, there LCM is their product i.e 522600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/522600
Therefore, the GCF of Fractions 1308/104,5190/5025 is 6/522600
Least Common Multiple of 104,5025 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 104,5025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,5025) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(104,5025) x common factors =1 x 1 = 1
LCM(104,5025) = ( 104 × 5025 ) / 1
LCM(104,5025) = 522600 / 1
LCM(104,5025) = 522600
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FAQs on GCF of Fractions of 1308/104, 5190/5025
1. What is the HCF of 1308,5190?
The HCF of 1308,5190 is 6
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 1308/104, 5190/5025?
Answer: GCF of Numerators as per given numbers 1308/104, 5190/5025 is
GCF of Numerators i.e. for 1308,5190 is 6
LCM of denominators i.e. for 104,5025 is 522600.
Thus, GCF of Fractions is 6/522600.Finally, GCF of Fractions for 1308/104, 5190/5025 is 6/522600.