GCF of 5707/706, 8063/7854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5707/706, 8063/7854 i.e 1/2772462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5707/706, 8063/7854.
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 5707/706,8063/7854?
Given fractions are 5707/706,8063/7854
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 5707/706,8063/7854, numerators are 5707,8063
Denominators are 706,7854
The GCF of 5707,8063 is 1 .
LCM of 706,7854 is 2772462.
The greatest common factor of 5707/706,8063/7854 = [GCF of 5707,8063]/[LCM of 706,7854]= 1/2772462
Therefore, the GCF of 5707/706,8063/7854 is 1/2772462.
To find the highest common factor of 5707,8063, we have to find the factors of both numbers and list the highest common factor.
The factors of 5707 are 1, 13, 439, 5707
The factors of 8063 are 1, 11, 733, 8063
The HCF of 5707,8063 is 1.
Lets's calculate GCF of 5707,8063
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5707,8063 By Matching Biggest Common Factor Method
Now, list down the factors of 5707
:1,13,439,5707
Now, list down the factors of 8063
:1,11,733,8063
Greatest Common Factor
We found the factors 5707,8063 . The biggest common factor number is the GCF number.
So the greatest common factor 5707,8063 is 1.
Lets's calculate LCM of 706,7854
| 2 | 706, 7854 |
| 353, 3927 |
∴ So the LCM of the given numbers is 2 x 353 x 3927 = 2772462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2772462
Therefore, the GCF of Fractions 5707/706,8063/7854 is 1/2772462
Least Common Multiple of 706,7854 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 706,7854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,7854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,7854) x common factors =2 x 1 = 2
LCM(706,7854) = ( 706 × 7854 ) / 2
LCM(706,7854) = 5544924 / 2
LCM(706,7854) = 2772462
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FAQs on GCF of Fractions of 5707/706, 8063/7854
1. What is the HCF of 5707,8063?
The HCF of 5707,8063 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 5707/706, 8063/7854?
Answer: GCF of Numerators as per given numbers 5707/706, 8063/7854 is
GCF of Numerators i.e. for 5707,8063 is 1
LCM of denominators i.e. for 706,7854 is 2772462.
Thus, GCF of Fractions is 1/2772462.Finally, GCF of Fractions for 5707/706, 8063/7854 is 1/2772462.