GCF of 1247/783, 8469/5176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1247/783, 8469/5176 i.e 1/4052808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1247/783, 8469/5176.
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 1247/783,8469/5176?
Given fractions are 1247/783,8469/5176
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 1247/783,8469/5176, numerators are 1247,8469
Denominators are 783,5176
The GCF of 1247,8469 is 1 .
LCM of 783,5176 is 4052808.
The greatest common factor of 1247/783,8469/5176 = [GCF of 1247,8469]/[LCM of 783,5176]= 1/4052808
Therefore, the GCF of 1247/783,8469/5176 is 1/4052808.
To find the highest common factor of 1247,8469, we have to find the factors of both numbers and list the highest common factor.
The factors of 1247 are 1, 29, 43, 1247
The factors of 8469 are 1, 3, 9, 941, 2823, 8469
The HCF of 1247,8469 is 1.
Lets's calculate GCF of 1247,8469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1247,8469 By Matching Biggest Common Factor Method
Now, list down the factors of 1247
:1,29,43,1247
Now, list down the factors of 8469
:1,3,9,941,2823,8469
Greatest Common Factor
We found the factors 1247,8469 . The biggest common factor number is the GCF number.
So the greatest common factor 1247,8469 is 1.
Lets's calculate LCM of 783,5176
Given numbers has no common factors except 1. So, there LCM is their product i.e 4052808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4052808
Therefore, the GCF of Fractions 1247/783,8469/5176 is 1/4052808
Least Common Multiple of 783,5176 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 783,5176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,5176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,5176) x common factors =1 x 1 = 1
LCM(783,5176) = ( 783 × 5176 ) / 1
LCM(783,5176) = 4052808 / 1
LCM(783,5176) = 4052808
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FAQs on GCF of Fractions of 1247/783, 8469/5176
1. What is the HCF of 1247,8469?
The HCF of 1247,8469 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 1247/783, 8469/5176?
Answer: GCF of Numerators as per given numbers 1247/783, 8469/5176 is
GCF of Numerators i.e. for 1247,8469 is 1
LCM of denominators i.e. for 783,5176 is 4052808.
Thus, GCF of Fractions is 1/4052808.Finally, GCF of Fractions for 1247/783, 8469/5176 is 1/4052808.