GCF of 3128/522, 2872/9129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3128/522, 2872/9129 i.e 8/1588446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3128/522, 2872/9129.
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 3128/522,2872/9129?
Given fractions are 3128/522,2872/9129
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 3128/522,2872/9129, numerators are 3128,2872
Denominators are 522,9129
The GCF of 3128,2872 is 8 .
LCM of 522,9129 is 1588446.
The greatest common factor of 3128/522,2872/9129 = [GCF of 3128,2872]/[LCM of 522,9129]= 8/1588446
Therefore, the GCF of 3128/522,2872/9129 is 8/1588446.
To find the highest common factor of 3128,2872, we have to find the factors of both numbers and list the highest common factor.
The factors of 3128 are 1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128
The factors of 2872 are 1, 2, 4, 8, 359, 718, 1436, 2872
The HCF of 3128,2872 is 8.
Lets's calculate GCF of 3128,2872
| 2 | 3128, 2872 |
| 2 | 1564, 1436 |
| 2 | 782, 718 |
| 391, 359 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3128,2872 By Matching Biggest Common Factor Method
Now, list down the factors of 3128
:1,2,4,8,17,23,34,46,68,92,136,184,391,782,1564,3128
Now, list down the factors of 2872
:1,2,4,8,359,718,1436,2872
Greatest Common Factor
We found the factors 3128,2872 . The biggest common factor number is the GCF number.
So the greatest common factor 3128,2872 is 8.
Lets's calculate LCM of 522,9129
| 3 | 522, 9129 |
| 174, 3043 |
∴ So the LCM of the given numbers is 3 x 174 x 3043 = 1588446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1588446
Therefore, the GCF of Fractions 3128/522,2872/9129 is 8/1588446
Least Common Multiple of 522,9129 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 522,9129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,9129) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(522,9129) x common factors =3 x 1 = 3
LCM(522,9129) = ( 522 × 9129 ) / 3
LCM(522,9129) = 4765338 / 3
LCM(522,9129) = 1588446
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FAQs on GCF of Fractions of 3128/522, 2872/9129
1. What is the HCF of 3128,2872?
The HCF of 3128,2872 is 8
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 3128/522, 2872/9129?
Answer: GCF of Numerators as per given numbers 3128/522, 2872/9129 is
GCF of Numerators i.e. for 3128,2872 is 8
LCM of denominators i.e. for 522,9129 is 1588446.
Thus, GCF of Fractions is 8/1588446.Finally, GCF of Fractions for 3128/522, 2872/9129 is 8/1588446.