GCF of 8032/872, 8612/1730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8032/872, 8612/1730 i.e 4/754280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8032/872, 8612/1730.
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 8032/872,8612/1730?
Given fractions are 8032/872,8612/1730
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 8032/872,8612/1730, numerators are 8032,8612
Denominators are 872,1730
The GCF of 8032,8612 is 4 .
LCM of 872,1730 is 754280.
The greatest common factor of 8032/872,8612/1730 = [GCF of 8032,8612]/[LCM of 872,1730]= 4/754280
Therefore, the GCF of 8032/872,8612/1730 is 4/754280.
To find the highest common factor of 8032,8612, we have to find the factors of both numbers and list the highest common factor.
The factors of 8032 are 1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032
The factors of 8612 are 1, 2, 4, 2153, 4306, 8612
The HCF of 8032,8612 is 4.
Lets's calculate GCF of 8032,8612
| 2 | 8032, 8612 |
| 2 | 4016, 4306 |
| 2008, 2153 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8032,8612 By Matching Biggest Common Factor Method
Now, list down the factors of 8032
:1,2,4,8,16,32,251,502,1004,2008,4016,8032
Now, list down the factors of 8612
:1,2,4,2153,4306,8612
Greatest Common Factor
We found the factors 8032,8612 . The biggest common factor number is the GCF number.
So the greatest common factor 8032,8612 is 4.
Lets's calculate LCM of 872,1730
| 2 | 872, 1730 |
| 436, 865 |
∴ So the LCM of the given numbers is 2 x 436 x 865 = 754280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/754280
Therefore, the GCF of Fractions 8032/872,8612/1730 is 4/754280
Least Common Multiple of 872,1730 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 872,1730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,1730) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(872,1730) x common factors =2 x 1 = 2
LCM(872,1730) = ( 872 × 1730 ) / 2
LCM(872,1730) = 1508560 / 2
LCM(872,1730) = 754280
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FAQs on GCF of Fractions of 8032/872, 8612/1730
1. What is the HCF of 8032,8612?
The HCF of 8032,8612 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 8032/872, 8612/1730?
Answer: GCF of Numerators as per given numbers 8032/872, 8612/1730 is
GCF of Numerators i.e. for 8032,8612 is 4
LCM of denominators i.e. for 872,1730 is 754280.
Thus, GCF of Fractions is 4/754280.Finally, GCF of Fractions for 8032/872, 8612/1730 is 4/754280.