GCF of 2075/971, 3977/2048
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2075/971, 3977/2048 i.e 1/1988608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2075/971, 3977/2048.
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 2075/971,3977/2048?
Given fractions are 2075/971,3977/2048
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 2075/971,3977/2048, numerators are 2075,3977
Denominators are 971,2048
The GCF of 2075,3977 is 1 .
LCM of 971,2048 is 1988608.
The greatest common factor of 2075/971,3977/2048 = [GCF of 2075,3977]/[LCM of 971,2048]= 1/1988608
Therefore, the GCF of 2075/971,3977/2048 is 1/1988608.
To find the highest common factor of 2075,3977, we have to find the factors of both numbers and list the highest common factor.
The factors of 2075 are 1, 5, 25, 83, 415, 2075
The factors of 3977 are 1, 41, 97, 3977
The HCF of 2075,3977 is 1.
Lets's calculate GCF of 2075,3977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2075,3977 By Matching Biggest Common Factor Method
Now, list down the factors of 2075
:1,5,25,83,415,2075
Now, list down the factors of 3977
:1,41,97,3977
Greatest Common Factor
We found the factors 2075,3977 . The biggest common factor number is the GCF number.
So the greatest common factor 2075,3977 is 1.
Lets's calculate LCM of 971,2048
Given numbers has no common factors except 1. So, there LCM is their product i.e 1988608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1988608
Therefore, the GCF of Fractions 2075/971,3977/2048 is 1/1988608
Least Common Multiple of 971,2048 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 971,2048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,2048) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,2048) x common factors =1 x 1 = 1
LCM(971,2048) = ( 971 × 2048 ) / 1
LCM(971,2048) = 1988608 / 1
LCM(971,2048) = 1988608
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2075/971, 3977/2048
1. What is the HCF of 2075,3977?
The HCF of 2075,3977 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 2075/971, 3977/2048?
Answer: GCF of Numerators as per given numbers 2075/971, 3977/2048 is
GCF of Numerators i.e. for 2075,3977 is 1
LCM of denominators i.e. for 971,2048 is 1988608.
Thus, GCF of Fractions is 1/1988608.Finally, GCF of Fractions for 2075/971, 3977/2048 is 1/1988608.