GCF of 8259/712, 9162/4596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8259/712, 9162/4596 i.e 3/818088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8259/712, 9162/4596.
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 8259/712,9162/4596?
Given fractions are 8259/712,9162/4596
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 8259/712,9162/4596, numerators are 8259,9162
Denominators are 712,4596
The GCF of 8259,9162 is 3 .
LCM of 712,4596 is 818088.
The greatest common factor of 8259/712,9162/4596 = [GCF of 8259,9162]/[LCM of 712,4596]= 3/818088
Therefore, the GCF of 8259/712,9162/4596 is 3/818088.
To find the highest common factor of 8259,9162, we have to find the factors of both numbers and list the highest common factor.
The factors of 8259 are 1, 3, 2753, 8259
The factors of 9162 are 1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162
The HCF of 8259,9162 is 3.
Lets's calculate GCF of 8259,9162
| 3 | 8259, 9162 |
| 2753, 3054 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8259,9162 By Matching Biggest Common Factor Method
Now, list down the factors of 8259
:1,3,2753,8259
Now, list down the factors of 9162
:1,2,3,6,9,18,509,1018,1527,3054,4581,9162
Greatest Common Factor
We found the factors 8259,9162 . The biggest common factor number is the GCF number.
So the greatest common factor 8259,9162 is 3.
Lets's calculate LCM of 712,4596
| 2 | 712, 4596 |
| 2 | 356, 2298 |
| 178, 1149 |
∴ So the LCM of the given numbers is 2 x 2 x 178 x 1149 = 818088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/818088
Therefore, the GCF of Fractions 8259/712,9162/4596 is 3/818088
Least Common Multiple of 712,4596 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 712,4596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,4596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(712,4596) x common factors =4 x 1 = 4
LCM(712,4596) = ( 712 × 4596 ) / 4
LCM(712,4596) = 3272352 / 4
LCM(712,4596) = 818088
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FAQs on GCF of Fractions of 8259/712, 9162/4596
1. What is the HCF of 8259,9162?
The HCF of 8259,9162 is 3
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 8259/712, 9162/4596?
Answer: GCF of Numerators as per given numbers 8259/712, 9162/4596 is
GCF of Numerators i.e. for 8259,9162 is 3
LCM of denominators i.e. for 712,4596 is 818088.
Thus, GCF of Fractions is 3/818088.Finally, GCF of Fractions for 8259/712, 9162/4596 is 3/818088.