GCF of 5674/971, 2225/2010
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5674/971, 2225/2010 i.e 1/1951710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5674/971, 2225/2010.
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 5674/971,2225/2010?
Given fractions are 5674/971,2225/2010
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 5674/971,2225/2010, numerators are 5674,2225
Denominators are 971,2010
The GCF of 5674,2225 is 1 .
LCM of 971,2010 is 1951710.
The greatest common factor of 5674/971,2225/2010 = [GCF of 5674,2225]/[LCM of 971,2010]= 1/1951710
Therefore, the GCF of 5674/971,2225/2010 is 1/1951710.
To find the highest common factor of 5674,2225, we have to find the factors of both numbers and list the highest common factor.
The factors of 5674 are 1, 2, 2837, 5674
The factors of 2225 are 1, 5, 25, 89, 445, 2225
The HCF of 5674,2225 is 1.
Lets's calculate GCF of 5674,2225
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5674,2225 By Matching Biggest Common Factor Method
Now, list down the factors of 5674
:1,2,2837,5674
Now, list down the factors of 2225
:1,5,25,89,445,2225
Greatest Common Factor
We found the factors 5674,2225 . The biggest common factor number is the GCF number.
So the greatest common factor 5674,2225 is 1.
Lets's calculate LCM of 971,2010
Given numbers has no common factors except 1. So, there LCM is their product i.e 1951710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1951710
Therefore, the GCF of Fractions 5674/971,2225/2010 is 1/1951710
Least Common Multiple of 971,2010 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 971,2010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,2010) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,2010) x common factors =1 x 1 = 1
LCM(971,2010) = ( 971 × 2010 ) / 1
LCM(971,2010) = 1951710 / 1
LCM(971,2010) = 1951710
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FAQs on GCF of Fractions of 5674/971, 2225/2010
1. What is the HCF of 5674,2225?
The HCF of 5674,2225 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 5674/971, 2225/2010?
Answer: GCF of Numerators as per given numbers 5674/971, 2225/2010 is
GCF of Numerators i.e. for 5674,2225 is 1
LCM of denominators i.e. for 971,2010 is 1951710.
Thus, GCF of Fractions is 1/1951710.Finally, GCF of Fractions for 5674/971, 2225/2010 is 1/1951710.