GCF of 7366/188, 5019/8672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7366/188, 5019/8672 i.e 1/407584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7366/188, 5019/8672.
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 7366/188,5019/8672?
Given fractions are 7366/188,5019/8672
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 7366/188,5019/8672, numerators are 7366,5019
Denominators are 188,8672
The GCF of 7366,5019 is 1 .
LCM of 188,8672 is 407584.
The greatest common factor of 7366/188,5019/8672 = [GCF of 7366,5019]/[LCM of 188,8672]= 1/407584
Therefore, the GCF of 7366/188,5019/8672 is 1/407584.
To find the highest common factor of 7366,5019, we have to find the factors of both numbers and list the highest common factor.
The factors of 7366 are 1, 2, 29, 58, 127, 254, 3683, 7366
The factors of 5019 are 1, 3, 7, 21, 239, 717, 1673, 5019
The HCF of 7366,5019 is 1.
Lets's calculate GCF of 7366,5019
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7366,5019 By Matching Biggest Common Factor Method
Now, list down the factors of 7366
:1,2,29,58,127,254,3683,7366
Now, list down the factors of 5019
:1,3,7,21,239,717,1673,5019
Greatest Common Factor
We found the factors 7366,5019 . The biggest common factor number is the GCF number.
So the greatest common factor 7366,5019 is 1.
Lets's calculate LCM of 188,8672
| 2 | 188, 8672 |
| 2 | 94, 4336 |
| 47, 2168 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 2168 = 407584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407584
Therefore, the GCF of Fractions 7366/188,5019/8672 is 1/407584
Least Common Multiple of 188,8672 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 188,8672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,8672) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(188,8672) x common factors =4 x 1 = 4
LCM(188,8672) = ( 188 × 8672 ) / 4
LCM(188,8672) = 1630336 / 4
LCM(188,8672) = 407584
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FAQs on GCF of Fractions of 7366/188, 5019/8672
1. What is the HCF of 7366,5019?
The HCF of 7366,5019 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 7366/188, 5019/8672?
Answer: GCF of Numerators as per given numbers 7366/188, 5019/8672 is
GCF of Numerators i.e. for 7366,5019 is 1
LCM of denominators i.e. for 188,8672 is 407584.
Thus, GCF of Fractions is 1/407584.Finally, GCF of Fractions for 7366/188, 5019/8672 is 1/407584.