GCF of 7084/632, 2116/9549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7084/632, 2116/9549 i.e 92/6034968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7084/632, 2116/9549.
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 7084/632,2116/9549?
Given fractions are 7084/632,2116/9549
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 7084/632,2116/9549, numerators are 7084,2116
Denominators are 632,9549
The GCF of 7084,2116 is 92 .
LCM of 632,9549 is 6034968.
The greatest common factor of 7084/632,2116/9549 = [GCF of 7084,2116]/[LCM of 632,9549]= 92/6034968
Therefore, the GCF of 7084/632,2116/9549 is 92/6034968.
To find the highest common factor of 7084,2116, we have to find the factors of both numbers and list the highest common factor.
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 factors of 2116 are 1, 2, 4, 23, 46, 92, 529, 1058, 2116
The HCF of 7084,2116 is 92.
Lets's calculate GCF of 7084,2116
| 2 | 7084, 2116 |
| 2 | 3542, 1058 |
| 23 | 1771, 529 |
| 77, 23 |
∴ So the GCF of the given numbers is 2 x 2 x 23 = 92
Greatest Common Factor of 7084,2116 By Matching Biggest Common Factor Method
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
Now, list down the factors of 2116
:1,2,4,23,46,92,529,1058,2116
Greatest Common Factor
We found the factors 7084,2116 . The biggest common factor number is the GCF number.
So the greatest common factor 7084,2116 is 92.
Lets's calculate LCM of 632,9549
Given numbers has no common factors except 1. So, there LCM is their product i.e 6034968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/6034968
Therefore, the GCF of Fractions 7084/632,2116/9549 is 92/6034968
Least Common Multiple of 632,9549 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 632,9549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,9549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,9549) x common factors =1 x 1 = 1
LCM(632,9549) = ( 632 × 9549 ) / 1
LCM(632,9549) = 6034968 / 1
LCM(632,9549) = 6034968
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FAQs on GCF of Fractions of 7084/632, 2116/9549
1. What is the HCF of 7084,2116?
The HCF of 7084,2116 is 92
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 7084/632, 2116/9549?
Answer: GCF of Numerators as per given numbers 7084/632, 2116/9549 is
GCF of Numerators i.e. for 7084,2116 is 92
LCM of denominators i.e. for 632,9549 is 6034968.
Thus, GCF of Fractions is 92/6034968.Finally, GCF of Fractions for 7084/632, 2116/9549 is 92/6034968.