GCF of 7969/996, 1316/839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7969/996, 1316/839 i.e 1/835644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7969/996, 1316/839.
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 7969/996,1316/839?
Given fractions are 7969/996,1316/839
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 7969/996,1316/839, numerators are 7969,1316
Denominators are 996,839
The GCF of 7969,1316 is 1 .
LCM of 996,839 is 835644.
The greatest common factor of 7969/996,1316/839 = [GCF of 7969,1316]/[LCM of 996,839]= 1/835644
Therefore, the GCF of 7969/996,1316/839 is 1/835644.
To find the highest common factor of 7969,1316, we have to find the factors of both numbers and list the highest common factor.
The factors of 7969 are 1, 13, 613, 7969
The factors of 1316 are 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316
The HCF of 7969,1316 is 1.
Lets's calculate GCF of 7969,1316
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7969,1316 By Matching Biggest Common Factor Method
Now, list down the factors of 7969
:1,13,613,7969
Now, list down the factors of 1316
:1,2,4,7,14,28,47,94,188,329,658,1316
Greatest Common Factor
We found the factors 7969,1316 . The biggest common factor number is the GCF number.
So the greatest common factor 7969,1316 is 1.
Lets's calculate LCM of 996,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 835644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/835644
Therefore, the GCF of Fractions 7969/996,1316/839 is 1/835644
Least Common Multiple of 996,839 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 996,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(996,839) x common factors =1 x 1 = 1
LCM(996,839) = ( 996 × 839 ) / 1
LCM(996,839) = 835644 / 1
LCM(996,839) = 835644
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FAQs on GCF of Fractions of 7969/996, 1316/839
1. What is the HCF of 7969,1316?
The HCF of 7969,1316 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 7969/996, 1316/839?
Answer: GCF of Numerators as per given numbers 7969/996, 1316/839 is
GCF of Numerators i.e. for 7969,1316 is 1
LCM of denominators i.e. for 996,839 is 835644.
Thus, GCF of Fractions is 1/835644.Finally, GCF of Fractions for 7969/996, 1316/839 is 1/835644.