GCF of 3163/383, 1696/679
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3163/383, 1696/679 i.e 1/260057 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3163/383, 1696/679.
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 3163/383,1696/679?
Given fractions are 3163/383,1696/679
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 3163/383,1696/679, numerators are 3163,1696
Denominators are 383,679
The GCF of 3163,1696 is 1 .
LCM of 383,679 is 260057.
The greatest common factor of 3163/383,1696/679 = [GCF of 3163,1696]/[LCM of 383,679]= 1/260057
Therefore, the GCF of 3163/383,1696/679 is 1/260057.
To find the highest common factor of 3163,1696, we have to find the factors of both numbers and list the highest common factor.
The factors of 3163 are 1, 3163
The factors of 1696 are 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696
The HCF of 3163,1696 is 1.
Lets's calculate GCF of 3163,1696
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3163,1696 By Matching Biggest Common Factor Method
Now, list down the factors of 3163
:1,3163
Now, list down the factors of 1696
:1,2,4,8,16,32,53,106,212,424,848,1696
Greatest Common Factor
We found the factors 3163,1696 . The biggest common factor number is the GCF number.
So the greatest common factor 3163,1696 is 1.
Lets's calculate LCM of 383,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 260057
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260057
Therefore, the GCF of Fractions 3163/383,1696/679 is 1/260057
Least Common Multiple of 383,679 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 383,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,679) x common factors =1 x 1 = 1
LCM(383,679) = ( 383 × 679 ) / 1
LCM(383,679) = 260057 / 1
LCM(383,679) = 260057
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FAQs on GCF of Fractions of 3163/383, 1696/679
1. What is the HCF of 3163,1696?
The HCF of 3163,1696 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 3163/383, 1696/679?
Answer: GCF of Numerators as per given numbers 3163/383, 1696/679 is
GCF of Numerators i.e. for 3163,1696 is 1
LCM of denominators i.e. for 383,679 is 260057.
Thus, GCF of Fractions is 1/260057.Finally, GCF of Fractions for 3163/383, 1696/679 is 1/260057.