GCF of 2399/995, 1738/1304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2399/995, 1738/1304 i.e 1/1297480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2399/995, 1738/1304.
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 2399/995,1738/1304?
Given fractions are 2399/995,1738/1304
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 2399/995,1738/1304, numerators are 2399,1738
Denominators are 995,1304
The GCF of 2399,1738 is 1 .
LCM of 995,1304 is 1297480.
The greatest common factor of 2399/995,1738/1304 = [GCF of 2399,1738]/[LCM of 995,1304]= 1/1297480
Therefore, the GCF of 2399/995,1738/1304 is 1/1297480.
To find the highest common factor of 2399,1738, we have to find the factors of both numbers and list the highest common factor.
The factors of 2399 are 1, 2399
The factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738
The HCF of 2399,1738 is 1.
Lets's calculate GCF of 2399,1738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2399,1738 By Matching Biggest Common Factor Method
Now, list down the factors of 2399
:1,2399
Now, list down the factors of 1738
:1,2,11,22,79,158,869,1738
Greatest Common Factor
We found the factors 2399,1738 . The biggest common factor number is the GCF number.
So the greatest common factor 2399,1738 is 1.
Lets's calculate LCM of 995,1304
Given numbers has no common factors except 1. So, there LCM is their product i.e 1297480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1297480
Therefore, the GCF of Fractions 2399/995,1738/1304 is 1/1297480
Least Common Multiple of 995,1304 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 995,1304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,1304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,1304) x common factors =1 x 1 = 1
LCM(995,1304) = ( 995 × 1304 ) / 1
LCM(995,1304) = 1297480 / 1
LCM(995,1304) = 1297480
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FAQs on GCF of Fractions of 2399/995, 1738/1304
1. What is the HCF of 2399,1738?
The HCF of 2399,1738 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 2399/995, 1738/1304?
Answer: GCF of Numerators as per given numbers 2399/995, 1738/1304 is
GCF of Numerators i.e. for 2399,1738 is 1
LCM of denominators i.e. for 995,1304 is 1297480.
Thus, GCF of Fractions is 1/1297480.Finally, GCF of Fractions for 2399/995, 1738/1304 is 1/1297480.