GCF of 5204/797, 1271/7747
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5204/797, 1271/7747 i.e 1/6174359 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5204/797, 1271/7747.
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 5204/797,1271/7747?
Given fractions are 5204/797,1271/7747
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 5204/797,1271/7747, numerators are 5204,1271
Denominators are 797,7747
The GCF of 5204,1271 is 1 .
LCM of 797,7747 is 6174359.
The greatest common factor of 5204/797,1271/7747 = [GCF of 5204,1271]/[LCM of 797,7747]= 1/6174359
Therefore, the GCF of 5204/797,1271/7747 is 1/6174359.
To find the highest common factor of 5204,1271, we have to find the factors of both numbers and list the highest common factor.
The factors of 5204 are 1, 2, 4, 1301, 2602, 5204
The factors of 1271 are 1, 31, 41, 1271
The HCF of 5204,1271 is 1.
Lets's calculate GCF of 5204,1271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5204,1271 By Matching Biggest Common Factor Method
Now, list down the factors of 5204
:1,2,4,1301,2602,5204
Now, list down the factors of 1271
:1,31,41,1271
Greatest Common Factor
We found the factors 5204,1271 . The biggest common factor number is the GCF number.
So the greatest common factor 5204,1271 is 1.
Lets's calculate LCM of 797,7747
Given numbers has no common factors except 1. So, there LCM is their product i.e 6174359
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6174359
Therefore, the GCF of Fractions 5204/797,1271/7747 is 1/6174359
Least Common Multiple of 797,7747 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 797,7747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,7747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,7747) x common factors =1 x 1 = 1
LCM(797,7747) = ( 797 × 7747 ) / 1
LCM(797,7747) = 6174359 / 1
LCM(797,7747) = 6174359
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FAQs on GCF of Fractions of 5204/797, 1271/7747
1. What is the HCF of 5204,1271?
The HCF of 5204,1271 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 5204/797, 1271/7747?
Answer: GCF of Numerators as per given numbers 5204/797, 1271/7747 is
GCF of Numerators i.e. for 5204,1271 is 1
LCM of denominators i.e. for 797,7747 is 6174359.
Thus, GCF of Fractions is 1/6174359.Finally, GCF of Fractions for 5204/797, 1271/7747 is 1/6174359.