GCF of 2573/470, 7471/5518
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2573/470, 7471/5518 i.e 31/1296730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2573/470, 7471/5518.
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 2573/470,7471/5518?
Given fractions are 2573/470,7471/5518
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 2573/470,7471/5518, numerators are 2573,7471
Denominators are 470,5518
The GCF of 2573,7471 is 31 .
LCM of 470,5518 is 1296730.
The greatest common factor of 2573/470,7471/5518 = [GCF of 2573,7471]/[LCM of 470,5518]= 31/1296730
Therefore, the GCF of 2573/470,7471/5518 is 31/1296730.
To find the highest common factor of 2573,7471, we have to find the factors of both numbers and list the highest common factor.
The factors of 2573 are 1, 31, 83, 2573
The factors of 7471 are 1, 31, 241, 7471
The HCF of 2573,7471 is 31.
Lets's calculate GCF of 2573,7471
| 31 | 2573, 7471 |
| 83, 241 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 2573,7471 By Matching Biggest Common Factor Method
Now, list down the factors of 2573
:1,31,83,2573
Now, list down the factors of 7471
:1,31,241,7471
Greatest Common Factor
We found the factors 2573,7471 . The biggest common factor number is the GCF number.
So the greatest common factor 2573,7471 is 31.
Lets's calculate LCM of 470,5518
| 2 | 470, 5518 |
| 235, 2759 |
∴ So the LCM of the given numbers is 2 x 235 x 2759 = 1296730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/1296730
Therefore, the GCF of Fractions 2573/470,7471/5518 is 31/1296730
Least Common Multiple of 470,5518 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 470,5518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,5518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,5518) x common factors =2 x 1 = 2
LCM(470,5518) = ( 470 × 5518 ) / 2
LCM(470,5518) = 2593460 / 2
LCM(470,5518) = 1296730
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FAQs on GCF of Fractions of 2573/470, 7471/5518
1. What is the HCF of 2573,7471?
The HCF of 2573,7471 is 31
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 2573/470, 7471/5518?
Answer: GCF of Numerators as per given numbers 2573/470, 7471/5518 is
GCF of Numerators i.e. for 2573,7471 is 31
LCM of denominators i.e. for 470,5518 is 1296730.
Thus, GCF of Fractions is 31/1296730.Finally, GCF of Fractions for 2573/470, 7471/5518 is 31/1296730.