GCF of 1510/477, 5790/2144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1510/477, 5790/2144 i.e 10/1022688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1510/477, 5790/2144.
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 1510/477,5790/2144?
Given fractions are 1510/477,5790/2144
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 1510/477,5790/2144, numerators are 1510,5790
Denominators are 477,2144
The GCF of 1510,5790 is 10 .
LCM of 477,2144 is 1022688.
The greatest common factor of 1510/477,5790/2144 = [GCF of 1510,5790]/[LCM of 477,2144]= 10/1022688
Therefore, the GCF of 1510/477,5790/2144 is 10/1022688.
To find the highest common factor of 1510,5790, we have to find the factors of both numbers and list the highest common factor.
The factors of 1510 are 1, 2, 5, 10, 151, 302, 755, 1510
The factors of 5790 are 1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790
The HCF of 1510,5790 is 10.
Lets's calculate GCF of 1510,5790
| 2 | 1510, 5790 |
| 5 | 755, 2895 |
| 151, 579 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1510,5790 By Matching Biggest Common Factor Method
Now, list down the factors of 1510
:1,2,5,10,151,302,755,1510
Now, list down the factors of 5790
:1,2,3,5,6,10,15,30,193,386,579,965,1158,1930,2895,5790
Greatest Common Factor
We found the factors 1510,5790 . The biggest common factor number is the GCF number.
So the greatest common factor 1510,5790 is 10.
Lets's calculate LCM of 477,2144
Given numbers has no common factors except 1. So, there LCM is their product i.e 1022688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1022688
Therefore, the GCF of Fractions 1510/477,5790/2144 is 10/1022688
Least Common Multiple of 477,2144 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 477,2144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,2144) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,2144) x common factors =1 x 1 = 1
LCM(477,2144) = ( 477 × 2144 ) / 1
LCM(477,2144) = 1022688 / 1
LCM(477,2144) = 1022688
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FAQs on GCF of Fractions of 1510/477, 5790/2144
1. What is the HCF of 1510,5790?
The HCF of 1510,5790 is 10
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 1510/477, 5790/2144?
Answer: GCF of Numerators as per given numbers 1510/477, 5790/2144 is
GCF of Numerators i.e. for 1510,5790 is 10
LCM of denominators i.e. for 477,2144 is 1022688.
Thus, GCF of Fractions is 10/1022688.Finally, GCF of Fractions for 1510/477, 5790/2144 is 10/1022688.