GCF of 3160/973, 3963/1685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3160/973, 3963/1685 i.e 1/1639505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3160/973, 3963/1685.
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 3160/973,3963/1685?
Given fractions are 3160/973,3963/1685
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 3160/973,3963/1685, numerators are 3160,3963
Denominators are 973,1685
The GCF of 3160,3963 is 1 .
LCM of 973,1685 is 1639505.
The greatest common factor of 3160/973,3963/1685 = [GCF of 3160,3963]/[LCM of 973,1685]= 1/1639505
Therefore, the GCF of 3160/973,3963/1685 is 1/1639505.
To find the highest common factor of 3160,3963, we have to find the factors of both numbers and list the highest common factor.
The factors of 3160 are 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160
The factors of 3963 are 1, 3, 1321, 3963
The HCF of 3160,3963 is 1.
Lets's calculate GCF of 3160,3963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3160,3963 By Matching Biggest Common Factor Method
Now, list down the factors of 3160
:1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160
Now, list down the factors of 3963
:1,3,1321,3963
Greatest Common Factor
We found the factors 3160,3963 . The biggest common factor number is the GCF number.
So the greatest common factor 3160,3963 is 1.
Lets's calculate LCM of 973,1685
Given numbers has no common factors except 1. So, there LCM is their product i.e 1639505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1639505
Therefore, the GCF of Fractions 3160/973,3963/1685 is 1/1639505
Least Common Multiple of 973,1685 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 973,1685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,1685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,1685) x common factors =1 x 1 = 1
LCM(973,1685) = ( 973 × 1685 ) / 1
LCM(973,1685) = 1639505 / 1
LCM(973,1685) = 1639505
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FAQs on GCF of Fractions of 3160/973, 3963/1685
1. What is the HCF of 3160,3963?
The HCF of 3160,3963 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 3160/973, 3963/1685?
Answer: GCF of Numerators as per given numbers 3160/973, 3963/1685 is
GCF of Numerators i.e. for 3160,3963 is 1
LCM of denominators i.e. for 973,1685 is 1639505.
Thus, GCF of Fractions is 1/1639505.Finally, GCF of Fractions for 3160/973, 3963/1685 is 1/1639505.