GCF of 6782/374, 2647/8599
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6782/374, 2647/8599 i.e 1/3216026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6782/374, 2647/8599.
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 6782/374,2647/8599?
Given fractions are 6782/374,2647/8599
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 6782/374,2647/8599, numerators are 6782,2647
Denominators are 374,8599
The GCF of 6782,2647 is 1 .
LCM of 374,8599 is 3216026.
The greatest common factor of 6782/374,2647/8599 = [GCF of 6782,2647]/[LCM of 374,8599]= 1/3216026
Therefore, the GCF of 6782/374,2647/8599 is 1/3216026.
To find the highest common factor of 6782,2647, we have to find the factors of both numbers and list the highest common factor.
The factors of 6782 are 1, 2, 3391, 6782
The factors of 2647 are 1, 2647
The HCF of 6782,2647 is 1.
Lets's calculate GCF of 6782,2647
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6782,2647 By Matching Biggest Common Factor Method
Now, list down the factors of 6782
:1,2,3391,6782
Now, list down the factors of 2647
:1,2647
Greatest Common Factor
We found the factors 6782,2647 . The biggest common factor number is the GCF number.
So the greatest common factor 6782,2647 is 1.
Lets's calculate LCM of 374,8599
Given numbers has no common factors except 1. So, there LCM is their product i.e 3216026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3216026
Therefore, the GCF of Fractions 6782/374,2647/8599 is 1/3216026
Least Common Multiple of 374,8599 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 374,8599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,8599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(374,8599) x common factors =1 x 1 = 1
LCM(374,8599) = ( 374 × 8599 ) / 1
LCM(374,8599) = 3216026 / 1
LCM(374,8599) = 3216026
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FAQs on GCF of Fractions of 6782/374, 2647/8599
1. What is the HCF of 6782,2647?
The HCF of 6782,2647 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 6782/374, 2647/8599?
Answer: GCF of Numerators as per given numbers 6782/374, 2647/8599 is
GCF of Numerators i.e. for 6782,2647 is 1
LCM of denominators i.e. for 374,8599 is 3216026.
Thus, GCF of Fractions is 1/3216026.Finally, GCF of Fractions for 6782/374, 2647/8599 is 1/3216026.