GCF of 995/417, 1688/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 995/417, 1688/718 i.e 1/299406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 995/417, 1688/718.
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 995/417,1688/718?
Given fractions are 995/417,1688/718
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 995/417,1688/718, numerators are 995,1688
Denominators are 417,718
The GCF of 995,1688 is 1 .
LCM of 417,718 is 299406.
The greatest common factor of 995/417,1688/718 = [GCF of 995,1688]/[LCM of 417,718]= 1/299406
Therefore, the GCF of 995/417,1688/718 is 1/299406.
To find the highest common factor of 995,1688, we have to find the factors of both numbers and list the highest common factor.
The factors of 995 are 1, 5, 199, 995
The factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688
The HCF of 995,1688 is 1.
Lets's calculate GCF of 995,1688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 995,1688 By Matching Biggest Common Factor Method
Now, list down the factors of 995
:1,5,199,995
Now, list down the factors of 1688
:1,2,4,8,211,422,844,1688
Greatest Common Factor
We found the factors 995,1688 . The biggest common factor number is the GCF number.
So the greatest common factor 995,1688 is 1.
Lets's calculate LCM of 417,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 299406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299406
Therefore, the GCF of Fractions 995/417,1688/718 is 1/299406
Least Common Multiple of 417,718 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 417,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,718) x common factors =1 x 1 = 1
LCM(417,718) = ( 417 × 718 ) / 1
LCM(417,718) = 299406 / 1
LCM(417,718) = 299406
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 995/417, 1688/718
1. What is the HCF of 995,1688?
The HCF of 995,1688 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 995/417, 1688/718?
Answer: GCF of Numerators as per given numbers 995/417, 1688/718 is
GCF of Numerators i.e. for 995,1688 is 1
LCM of denominators i.e. for 417,718 is 299406.
Thus, GCF of Fractions is 1/299406.Finally, GCF of Fractions for 995/417, 1688/718 is 1/299406.