GCF of 2191/706, 5686/8352
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2191/706, 5686/8352 i.e 1/2948256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2191/706, 5686/8352.
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 2191/706,5686/8352?
Given fractions are 2191/706,5686/8352
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 2191/706,5686/8352, numerators are 2191,5686
Denominators are 706,8352
The GCF of 2191,5686 is 1 .
LCM of 706,8352 is 2948256.
The greatest common factor of 2191/706,5686/8352 = [GCF of 2191,5686]/[LCM of 706,8352]= 1/2948256
Therefore, the GCF of 2191/706,5686/8352 is 1/2948256.
To find the highest common factor of 2191,5686, we have to find the factors of both numbers and list the highest common factor.
The factors of 2191 are 1, 7, 313, 2191
The factors of 5686 are 1, 2, 2843, 5686
The HCF of 2191,5686 is 1.
Lets's calculate GCF of 2191,5686
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2191,5686 By Matching Biggest Common Factor Method
Now, list down the factors of 2191
:1,7,313,2191
Now, list down the factors of 5686
:1,2,2843,5686
Greatest Common Factor
We found the factors 2191,5686 . The biggest common factor number is the GCF number.
So the greatest common factor 2191,5686 is 1.
Lets's calculate LCM of 706,8352
| 2 | 706, 8352 |
| 353, 4176 |
∴ So the LCM of the given numbers is 2 x 353 x 4176 = 2948256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2948256
Therefore, the GCF of Fractions 2191/706,5686/8352 is 1/2948256
Least Common Multiple of 706,8352 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 706,8352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,8352) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,8352) x common factors =2 x 1 = 2
LCM(706,8352) = ( 706 × 8352 ) / 2
LCM(706,8352) = 5896512 / 2
LCM(706,8352) = 2948256
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FAQs on GCF of Fractions of 2191/706, 5686/8352
1. What is the HCF of 2191,5686?
The HCF of 2191,5686 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 2191/706, 5686/8352?
Answer: GCF of Numerators as per given numbers 2191/706, 5686/8352 is
GCF of Numerators i.e. for 2191,5686 is 1
LCM of denominators i.e. for 706,8352 is 2948256.
Thus, GCF of Fractions is 1/2948256.Finally, GCF of Fractions for 2191/706, 5686/8352 is 1/2948256.