GCF of 1399/843, 7316/956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1399/843, 7316/956 i.e 1/805908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1399/843, 7316/956.
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 1399/843,7316/956?
Given fractions are 1399/843,7316/956
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 1399/843,7316/956, numerators are 1399,7316
Denominators are 843,956
The GCF of 1399,7316 is 1 .
LCM of 843,956 is 805908.
The greatest common factor of 1399/843,7316/956 = [GCF of 1399,7316]/[LCM of 843,956]= 1/805908
Therefore, the GCF of 1399/843,7316/956 is 1/805908.
To find the highest common factor of 1399,7316, we have to find the factors of both numbers and list the highest common factor.
The factors of 1399 are 1, 1399
The factors of 7316 are 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316
The HCF of 1399,7316 is 1.
Lets's calculate GCF of 1399,7316
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1399,7316 By Matching Biggest Common Factor Method
Now, list down the factors of 1399
:1,1399
Now, list down the factors of 7316
:1,2,4,31,59,62,118,124,236,1829,3658,7316
Greatest Common Factor
We found the factors 1399,7316 . The biggest common factor number is the GCF number.
So the greatest common factor 1399,7316 is 1.
Lets's calculate LCM of 843,956
Given numbers has no common factors except 1. So, there LCM is their product i.e 805908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/805908
Therefore, the GCF of Fractions 1399/843,7316/956 is 1/805908
Least Common Multiple of 843,956 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 843,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,956) x common factors =1 x 1 = 1
LCM(843,956) = ( 843 × 956 ) / 1
LCM(843,956) = 805908 / 1
LCM(843,956) = 805908
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FAQs on GCF of Fractions of 1399/843, 7316/956
1. What is the HCF of 1399,7316?
The HCF of 1399,7316 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 1399/843, 7316/956?
Answer: GCF of Numerators as per given numbers 1399/843, 7316/956 is
GCF of Numerators i.e. for 1399,7316 is 1
LCM of denominators i.e. for 843,956 is 805908.
Thus, GCF of Fractions is 1/805908.Finally, GCF of Fractions for 1399/843, 7316/956 is 1/805908.