GCF of 2045/971, 4924/5464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2045/971, 4924/5464 i.e 1/5305544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2045/971, 4924/5464.
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 2045/971,4924/5464?
Given fractions are 2045/971,4924/5464
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 2045/971,4924/5464, numerators are 2045,4924
Denominators are 971,5464
The GCF of 2045,4924 is 1 .
LCM of 971,5464 is 5305544.
The greatest common factor of 2045/971,4924/5464 = [GCF of 2045,4924]/[LCM of 971,5464]= 1/5305544
Therefore, the GCF of 2045/971,4924/5464 is 1/5305544.
To find the highest common factor of 2045,4924, we have to find the factors of both numbers and list the highest common factor.
The factors of 2045 are 1, 5, 409, 2045
The factors of 4924 are 1, 2, 4, 1231, 2462, 4924
The HCF of 2045,4924 is 1.
Lets's calculate GCF of 2045,4924
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2045,4924 By Matching Biggest Common Factor Method
Now, list down the factors of 2045
:1,5,409,2045
Now, list down the factors of 4924
:1,2,4,1231,2462,4924
Greatest Common Factor
We found the factors 2045,4924 . The biggest common factor number is the GCF number.
So the greatest common factor 2045,4924 is 1.
Lets's calculate LCM of 971,5464
Given numbers has no common factors except 1. So, there LCM is their product i.e 5305544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5305544
Therefore, the GCF of Fractions 2045/971,4924/5464 is 1/5305544
Least Common Multiple of 971,5464 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 971,5464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,5464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,5464) x common factors =1 x 1 = 1
LCM(971,5464) = ( 971 × 5464 ) / 1
LCM(971,5464) = 5305544 / 1
LCM(971,5464) = 5305544
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2045/971, 4924/5464
1. What is the HCF of 2045,4924?
The HCF of 2045,4924 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 2045/971, 4924/5464?
Answer: GCF of Numerators as per given numbers 2045/971, 4924/5464 is
GCF of Numerators i.e. for 2045,4924 is 1
LCM of denominators i.e. for 971,5464 is 5305544.
Thus, GCF of Fractions is 1/5305544.Finally, GCF of Fractions for 2045/971, 4924/5464 is 1/5305544.