GCF of 8620/425, 2712/8729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8620/425, 2712/8729 i.e 4/3709825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8620/425, 2712/8729.
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 8620/425,2712/8729?
Given fractions are 8620/425,2712/8729
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 8620/425,2712/8729, numerators are 8620,2712
Denominators are 425,8729
The GCF of 8620,2712 is 4 .
LCM of 425,8729 is 3709825.
The greatest common factor of 8620/425,2712/8729 = [GCF of 8620,2712]/[LCM of 425,8729]= 4/3709825
Therefore, the GCF of 8620/425,2712/8729 is 4/3709825.
To find the highest common factor of 8620,2712, we have to find the factors of both numbers and list the highest common factor.
The factors of 8620 are 1, 2, 4, 5, 10, 20, 431, 862, 1724, 2155, 4310, 8620
The factors of 2712 are 1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712
The HCF of 8620,2712 is 4.
Lets's calculate GCF of 8620,2712
| 2 | 8620, 2712 |
| 2 | 4310, 1356 |
| 2155, 678 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8620,2712 By Matching Biggest Common Factor Method
Now, list down the factors of 8620
:1,2,4,5,10,20,431,862,1724,2155,4310,8620
Now, list down the factors of 2712
:1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712
Greatest Common Factor
We found the factors 8620,2712 . The biggest common factor number is the GCF number.
So the greatest common factor 8620,2712 is 4.
Lets's calculate LCM of 425,8729
Given numbers has no common factors except 1. So, there LCM is their product i.e 3709825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3709825
Therefore, the GCF of Fractions 8620/425,2712/8729 is 4/3709825
Least Common Multiple of 425,8729 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 425,8729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,8729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(425,8729) x common factors =1 x 1 = 1
LCM(425,8729) = ( 425 × 8729 ) / 1
LCM(425,8729) = 3709825 / 1
LCM(425,8729) = 3709825
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FAQs on GCF of Fractions of 8620/425, 2712/8729
1. What is the HCF of 8620,2712?
The HCF of 8620,2712 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 8620/425, 2712/8729?
Answer: GCF of Numerators as per given numbers 8620/425, 2712/8729 is
GCF of Numerators i.e. for 8620,2712 is 4
LCM of denominators i.e. for 425,8729 is 3709825.
Thus, GCF of Fractions is 4/3709825.Finally, GCF of Fractions for 8620/425, 2712/8729 is 4/3709825.