GCF of 6992/713, 5707/865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6992/713, 5707/865 i.e 1/616745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6992/713, 5707/865.
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 6992/713,5707/865?
Given fractions are 6992/713,5707/865
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 6992/713,5707/865, numerators are 6992,5707
Denominators are 713,865
The GCF of 6992,5707 is 1 .
LCM of 713,865 is 616745.
The greatest common factor of 6992/713,5707/865 = [GCF of 6992,5707]/[LCM of 713,865]= 1/616745
Therefore, the GCF of 6992/713,5707/865 is 1/616745.
To find the highest common factor of 6992,5707, we have to find the factors of both numbers and list the highest common factor.
The factors of 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992
The factors of 5707 are 1, 13, 439, 5707
The HCF of 6992,5707 is 1.
Lets's calculate GCF of 6992,5707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6992,5707 By Matching Biggest Common Factor Method
Now, list down the factors of 6992
:1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992
Now, list down the factors of 5707
:1,13,439,5707
Greatest Common Factor
We found the factors 6992,5707 . The biggest common factor number is the GCF number.
So the greatest common factor 6992,5707 is 1.
Lets's calculate LCM of 713,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 616745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616745
Therefore, the GCF of Fractions 6992/713,5707/865 is 1/616745
Least Common Multiple of 713,865 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 713,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,865) x common factors =1 x 1 = 1
LCM(713,865) = ( 713 × 865 ) / 1
LCM(713,865) = 616745 / 1
LCM(713,865) = 616745
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6992/713, 5707/865
1. What is the HCF of 6992,5707?
The HCF of 6992,5707 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 6992/713, 5707/865?
Answer: GCF of Numerators as per given numbers 6992/713, 5707/865 is
GCF of Numerators i.e. for 6992,5707 is 1
LCM of denominators i.e. for 713,865 is 616745.
Thus, GCF of Fractions is 1/616745.Finally, GCF of Fractions for 6992/713, 5707/865 is 1/616745.