GCF of 8205/974, 3086/9280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8205/974, 3086/9280 i.e 1/4519360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8205/974, 3086/9280.
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 8205/974,3086/9280?
Given fractions are 8205/974,3086/9280
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 8205/974,3086/9280, numerators are 8205,3086
Denominators are 974,9280
The GCF of 8205,3086 is 1 .
LCM of 974,9280 is 4519360.
The greatest common factor of 8205/974,3086/9280 = [GCF of 8205,3086]/[LCM of 974,9280]= 1/4519360
Therefore, the GCF of 8205/974,3086/9280 is 1/4519360.
To find the highest common factor of 8205,3086, we have to find the factors of both numbers and list the highest common factor.
The factors of 8205 are 1, 3, 5, 15, 547, 1641, 2735, 8205
The factors of 3086 are 1, 2, 1543, 3086
The HCF of 8205,3086 is 1.
Lets's calculate GCF of 8205,3086
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8205,3086 By Matching Biggest Common Factor Method
Now, list down the factors of 8205
:1,3,5,15,547,1641,2735,8205
Now, list down the factors of 3086
:1,2,1543,3086
Greatest Common Factor
We found the factors 8205,3086 . The biggest common factor number is the GCF number.
So the greatest common factor 8205,3086 is 1.
Lets's calculate LCM of 974,9280
| 2 | 974, 9280 |
| 487, 4640 |
∴ So the LCM of the given numbers is 2 x 487 x 4640 = 4519360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4519360
Therefore, the GCF of Fractions 8205/974,3086/9280 is 1/4519360
Least Common Multiple of 974,9280 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 974,9280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,9280) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,9280) x common factors =2 x 1 = 2
LCM(974,9280) = ( 974 × 9280 ) / 2
LCM(974,9280) = 9038720 / 2
LCM(974,9280) = 4519360
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FAQs on GCF of Fractions of 8205/974, 3086/9280
1. What is the HCF of 8205,3086?
The HCF of 8205,3086 is 1
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 8205/974, 3086/9280?
Answer: GCF of Numerators as per given numbers 8205/974, 3086/9280 is
GCF of Numerators i.e. for 8205,3086 is 1
LCM of denominators i.e. for 974,9280 is 4519360.
Thus, GCF of Fractions is 1/4519360.Finally, GCF of Fractions for 8205/974, 3086/9280 is 1/4519360.