GCF of 5365/186, 7040/6991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5365/186, 7040/6991 i.e 5/1300326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5365/186, 7040/6991.
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 5365/186,7040/6991?
Given fractions are 5365/186,7040/6991
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 5365/186,7040/6991, numerators are 5365,7040
Denominators are 186,6991
The GCF of 5365,7040 is 5 .
LCM of 186,6991 is 1300326.
The greatest common factor of 5365/186,7040/6991 = [GCF of 5365,7040]/[LCM of 186,6991]= 5/1300326
Therefore, the GCF of 5365/186,7040/6991 is 5/1300326.
To find the highest common factor of 5365,7040, we have to find the factors of both numbers and list the highest common factor.
The factors of 5365 are 1, 5, 29, 37, 145, 185, 1073, 5365
The factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040
The HCF of 5365,7040 is 5.
Lets's calculate GCF of 5365,7040
| 5 | 5365, 7040 |
| 1073, 1408 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5365,7040 By Matching Biggest Common Factor Method
Now, list down the factors of 5365
:1,5,29,37,145,185,1073,5365
Now, list down the factors of 7040
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040
Greatest Common Factor
We found the factors 5365,7040 . The biggest common factor number is the GCF number.
So the greatest common factor 5365,7040 is 5.
Lets's calculate LCM of 186,6991
Given numbers has no common factors except 1. So, there LCM is their product i.e 1300326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1300326
Therefore, the GCF of Fractions 5365/186,7040/6991 is 5/1300326
Least Common Multiple of 186,6991 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 186,6991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,6991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(186,6991) x common factors =1 x 1 = 1
LCM(186,6991) = ( 186 × 6991 ) / 1
LCM(186,6991) = 1300326 / 1
LCM(186,6991) = 1300326
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5365/186, 7040/6991
1. What is the HCF of 5365,7040?
The HCF of 5365,7040 is 5
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 5365/186, 7040/6991?
Answer: GCF of Numerators as per given numbers 5365/186, 7040/6991 is
GCF of Numerators i.e. for 5365,7040 is 5
LCM of denominators i.e. for 186,6991 is 1300326.
Thus, GCF of Fractions is 5/1300326.Finally, GCF of Fractions for 5365/186, 7040/6991 is 5/1300326.