GCF of 8034/364, 9260/8924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8034/364, 9260/8924 i.e 2/812084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8034/364, 9260/8924.
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 8034/364,9260/8924?
Given fractions are 8034/364,9260/8924
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 8034/364,9260/8924, numerators are 8034,9260
Denominators are 364,8924
The GCF of 8034,9260 is 2 .
LCM of 364,8924 is 812084.
The greatest common factor of 8034/364,9260/8924 = [GCF of 8034,9260]/[LCM of 364,8924]= 2/812084
Therefore, the GCF of 8034/364,9260/8924 is 2/812084.
To find the highest common factor of 8034,9260, we have to find the factors of both numbers and list the highest common factor.
The factors of 8034 are 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034
The factors of 9260 are 1, 2, 4, 5, 10, 20, 463, 926, 1852, 2315, 4630, 9260
The HCF of 8034,9260 is 2.
Lets's calculate GCF of 8034,9260
| 2 | 8034, 9260 |
| 4017, 4630 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8034,9260 By Matching Biggest Common Factor Method
Now, list down the factors of 8034
:1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034
Now, list down the factors of 9260
:1,2,4,5,10,20,463,926,1852,2315,4630,9260
Greatest Common Factor
We found the factors 8034,9260 . The biggest common factor number is the GCF number.
So the greatest common factor 8034,9260 is 2.
Lets's calculate LCM of 364,8924
| 2 | 364, 8924 |
| 2 | 182, 4462 |
| 91, 2231 |
∴ So the LCM of the given numbers is 2 x 2 x 91 x 2231 = 812084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/812084
Therefore, the GCF of Fractions 8034/364,9260/8924 is 2/812084
Least Common Multiple of 364,8924 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 364,8924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,8924) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(364,8924) x common factors =4 x 1 = 4
LCM(364,8924) = ( 364 × 8924 ) / 4
LCM(364,8924) = 3248336 / 4
LCM(364,8924) = 812084
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FAQs on GCF of Fractions of 8034/364, 9260/8924
1. What is the HCF of 8034,9260?
The HCF of 8034,9260 is 2
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 8034/364, 9260/8924?
Answer: GCF of Numerators as per given numbers 8034/364, 9260/8924 is
GCF of Numerators i.e. for 8034,9260 is 2
LCM of denominators i.e. for 364,8924 is 812084.
Thus, GCF of Fractions is 2/812084.Finally, GCF of Fractions for 8034/364, 9260/8924 is 2/812084.