GCF of 2470/255, 4940/4926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2470/255, 4940/4926 i.e 2470/418710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2470/255, 4940/4926.
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 2470/255,4940/4926?
Given fractions are 2470/255,4940/4926
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 2470/255,4940/4926, numerators are 2470,4940
Denominators are 255,4926
The GCF of 2470,4940 is 2470 .
LCM of 255,4926 is 418710.
The greatest common factor of 2470/255,4940/4926 = [GCF of 2470,4940]/[LCM of 255,4926]= 2470/418710
Therefore, the GCF of 2470/255,4940/4926 is 2470/418710.
To find the highest common factor of 2470,4940, we have to find the factors of both numbers and list the highest common factor.
The factors of 2470 are 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470
The factors of 4940 are 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940
The HCF of 2470,4940 is 2470.
Lets's calculate GCF of 2470,4940
| 2 | 2470, 4940 |
| 5 | 1235, 2470 |
| 13 | 247, 494 |
| 19 | 19, 38 |
| 1, 2 |
∴ So the GCF of the given numbers is 2 x 5 x 13 x 19 = 2470
Greatest Common Factor of 2470,4940 By Matching Biggest Common Factor Method
Now, list down the factors of 2470
:1,2,5,10,13,19,26,38,65,95,130,190,247,494,1235,2470
Now, list down the factors of 4940
:1,2,4,5,10,13,19,20,26,38,52,65,76,95,130,190,247,260,380,494,988,1235,2470,4940
Greatest Common Factor
We found the factors 2470,4940 . The biggest common factor number is the GCF number.
So the greatest common factor 2470,4940 is 2470.
Lets's calculate LCM of 255,4926
| 3 | 255, 4926 |
| 85, 1642 |
∴ So the LCM of the given numbers is 3 x 85 x 1642 = 418710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2470/418710
Therefore, the GCF of Fractions 2470/255,4940/4926 is 2470/418710
Least Common Multiple of 255,4926 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 255,4926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,4926) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(255,4926) x common factors =3 x 1 = 3
LCM(255,4926) = ( 255 × 4926 ) / 3
LCM(255,4926) = 1256130 / 3
LCM(255,4926) = 418710
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FAQs on GCF of Fractions of 2470/255, 4940/4926
1. What is the HCF of 2470,4940?
The HCF of 2470,4940 is 2470
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 2470/255, 4940/4926?
Answer: GCF of Numerators as per given numbers 2470/255, 4940/4926 is
GCF of Numerators i.e. for 2470,4940 is 2470
LCM of denominators i.e. for 255,4926 is 418710.
Thus, GCF of Fractions is 2470/418710.Finally, GCF of Fractions for 2470/255, 4940/4926 is 2470/418710.