GCF of 6716/798, 5307/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6716/798, 5307/409 i.e 1/326382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6716/798, 5307/409.
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 6716/798,5307/409?
Given fractions are 6716/798,5307/409
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 6716/798,5307/409, numerators are 6716,5307
Denominators are 798,409
The GCF of 6716,5307 is 1 .
LCM of 798,409 is 326382.
The greatest common factor of 6716/798,5307/409 = [GCF of 6716,5307]/[LCM of 798,409]= 1/326382
Therefore, the GCF of 6716/798,5307/409 is 1/326382.
To find the highest common factor of 6716,5307, we have to find the factors of both numbers and list the highest common factor.
The factors of 6716 are 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716
The factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307
The HCF of 6716,5307 is 1.
Lets's calculate GCF of 6716,5307
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6716,5307 By Matching Biggest Common Factor Method
Now, list down the factors of 6716
:1,2,4,23,46,73,92,146,292,1679,3358,6716
Now, list down the factors of 5307
:1,3,29,61,87,183,1769,5307
Greatest Common Factor
We found the factors 6716,5307 . The biggest common factor number is the GCF number.
So the greatest common factor 6716,5307 is 1.
Lets's calculate LCM of 798,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 326382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326382
Therefore, the GCF of Fractions 6716/798,5307/409 is 1/326382
Least Common Multiple of 798,409 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 798,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(798,409) x common factors =1 x 1 = 1
LCM(798,409) = ( 798 × 409 ) / 1
LCM(798,409) = 326382 / 1
LCM(798,409) = 326382
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FAQs on GCF of Fractions of 6716/798, 5307/409
1. What is the HCF of 6716,5307?
The HCF of 6716,5307 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 6716/798, 5307/409?
Answer: GCF of Numerators as per given numbers 6716/798, 5307/409 is
GCF of Numerators i.e. for 6716,5307 is 1
LCM of denominators i.e. for 798,409 is 326382.
Thus, GCF of Fractions is 1/326382.Finally, GCF of Fractions for 6716/798, 5307/409 is 1/326382.