GCF of 3060/142, 8128/930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3060/142, 8128/930 i.e 4/66030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3060/142, 8128/930.
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 3060/142,8128/930?
Given fractions are 3060/142,8128/930
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 3060/142,8128/930, numerators are 3060,8128
Denominators are 142,930
The GCF of 3060,8128 is 4 .
LCM of 142,930 is 66030.
The greatest common factor of 3060/142,8128/930 = [GCF of 3060,8128]/[LCM of 142,930]= 4/66030
Therefore, the GCF of 3060/142,8128/930 is 4/66030.
To find the highest common factor of 3060,8128, we have to find the factors of both numbers and list the highest common factor.
The factors of 3060 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060
The factors of 8128 are 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 8128
The HCF of 3060,8128 is 4.
Lets's calculate GCF of 3060,8128
| 2 | 3060, 8128 |
| 2 | 1530, 4064 |
| 765, 2032 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3060,8128 By Matching Biggest Common Factor Method
Now, list down the factors of 3060
:1,2,3,4,5,6,9,10,12,15,17,18,20,30,34,36,45,51,60,68,85,90,102,153,170,180,204,255,306,340,510,612,765,1020,1530,3060
Now, list down the factors of 8128
:1,2,4,8,16,32,64,127,254,508,1016,2032,4064,8128
Greatest Common Factor
We found the factors 3060,8128 . The biggest common factor number is the GCF number.
So the greatest common factor 3060,8128 is 4.
Lets's calculate LCM of 142,930
| 2 | 142, 930 |
| 71, 465 |
∴ So the LCM of the given numbers is 2 x 71 x 465 = 66030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/66030
Therefore, the GCF of Fractions 3060/142,8128/930 is 4/66030
Least Common Multiple of 142,930 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 142,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,930) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,930) x common factors =2 x 1 = 2
LCM(142,930) = ( 142 × 930 ) / 2
LCM(142,930) = 132060 / 2
LCM(142,930) = 66030
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FAQs on GCF of Fractions of 3060/142, 8128/930
1. What is the HCF of 3060,8128?
The HCF of 3060,8128 is 4
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 3060/142, 8128/930?
Answer: GCF of Numerators as per given numbers 3060/142, 8128/930 is
GCF of Numerators i.e. for 3060,8128 is 4
LCM of denominators i.e. for 142,930 is 66030.
Thus, GCF of Fractions is 4/66030.Finally, GCF of Fractions for 3060/142, 8128/930 is 4/66030.