GCF of 9084/982, 7084/4024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9084/982, 7084/4024 i.e 4/1975784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9084/982, 7084/4024.
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 9084/982,7084/4024?
Given fractions are 9084/982,7084/4024
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 9084/982,7084/4024, numerators are 9084,7084
Denominators are 982,4024
The GCF of 9084,7084 is 4 .
LCM of 982,4024 is 1975784.
The greatest common factor of 9084/982,7084/4024 = [GCF of 9084,7084]/[LCM of 982,4024]= 4/1975784
Therefore, the GCF of 9084/982,7084/4024 is 4/1975784.
To find the highest common factor of 9084,7084, we have to find the factors of both numbers and list the highest common factor.
The factors of 9084 are 1, 2, 3, 4, 6, 12, 757, 1514, 2271, 3028, 4542, 9084
The factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084
The HCF of 9084,7084 is 4.
Lets's calculate GCF of 9084,7084
| 2 | 9084, 7084 |
| 2 | 4542, 3542 |
| 2271, 1771 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9084,7084 By Matching Biggest Common Factor Method
Now, list down the factors of 9084
:1,2,3,4,6,12,757,1514,2271,3028,4542,9084
Now, list down the factors of 7084
:1,2,4,7,11,14,22,23,28,44,46,77,92,154,161,253,308,322,506,644,1012,1771,3542,7084
Greatest Common Factor
We found the factors 9084,7084 . The biggest common factor number is the GCF number.
So the greatest common factor 9084,7084 is 4.
Lets's calculate LCM of 982,4024
| 2 | 982, 4024 |
| 491, 2012 |
∴ So the LCM of the given numbers is 2 x 491 x 2012 = 1975784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1975784
Therefore, the GCF of Fractions 9084/982,7084/4024 is 4/1975784
Least Common Multiple of 982,4024 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 982,4024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,4024) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,4024) x common factors =2 x 1 = 2
LCM(982,4024) = ( 982 × 4024 ) / 2
LCM(982,4024) = 3951568 / 2
LCM(982,4024) = 1975784
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FAQs on GCF of Fractions of 9084/982, 7084/4024
1. What is the HCF of 9084,7084?
The HCF of 9084,7084 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 9084/982, 7084/4024?
Answer: GCF of Numerators as per given numbers 9084/982, 7084/4024 is
GCF of Numerators i.e. for 9084,7084 is 4
LCM of denominators i.e. for 982,4024 is 1975784.
Thus, GCF of Fractions is 4/1975784.Finally, GCF of Fractions for 9084/982, 7084/4024 is 4/1975784.