GCF of 1996/346, 2115/7149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1996/346, 2115/7149 i.e 1/2473554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1996/346, 2115/7149.
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 1996/346,2115/7149?
Given fractions are 1996/346,2115/7149
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 1996/346,2115/7149, numerators are 1996,2115
Denominators are 346,7149
The GCF of 1996,2115 is 1 .
LCM of 346,7149 is 2473554.
The greatest common factor of 1996/346,2115/7149 = [GCF of 1996,2115]/[LCM of 346,7149]= 1/2473554
Therefore, the GCF of 1996/346,2115/7149 is 1/2473554.
To find the highest common factor of 1996,2115, we have to find the factors of both numbers and list the highest common factor.
The factors of 1996 are 1, 2, 4, 499, 998, 1996
The factors of 2115 are 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115
The HCF of 1996,2115 is 1.
Lets's calculate GCF of 1996,2115
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1996,2115 By Matching Biggest Common Factor Method
Now, list down the factors of 1996
:1,2,4,499,998,1996
Now, list down the factors of 2115
:1,3,5,9,15,45,47,141,235,423,705,2115
Greatest Common Factor
We found the factors 1996,2115 . The biggest common factor number is the GCF number.
So the greatest common factor 1996,2115 is 1.
Lets's calculate LCM of 346,7149
Given numbers has no common factors except 1. So, there LCM is their product i.e 2473554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2473554
Therefore, the GCF of Fractions 1996/346,2115/7149 is 1/2473554
Least Common Multiple of 346,7149 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 346,7149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,7149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,7149) x common factors =1 x 1 = 1
LCM(346,7149) = ( 346 × 7149 ) / 1
LCM(346,7149) = 2473554 / 1
LCM(346,7149) = 2473554
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FAQs on GCF of Fractions of 1996/346, 2115/7149
1. What is the HCF of 1996,2115?
The HCF of 1996,2115 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 1996/346, 2115/7149?
Answer: GCF of Numerators as per given numbers 1996/346, 2115/7149 is
GCF of Numerators i.e. for 1996,2115 is 1
LCM of denominators i.e. for 346,7149 is 2473554.
Thus, GCF of Fractions is 1/2473554.Finally, GCF of Fractions for 1996/346, 2115/7149 is 1/2473554.