GCF of 494/130, 2888/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 494/130, 2888/414 i.e 38/26910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 494/130, 2888/414.
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 494/130,2888/414?
Given fractions are 494/130,2888/414
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 494/130,2888/414, numerators are 494,2888
Denominators are 130,414
The GCF of 494,2888 is 38 .
LCM of 130,414 is 26910.
The greatest common factor of 494/130,2888/414 = [GCF of 494,2888]/[LCM of 130,414]= 38/26910
Therefore, the GCF of 494/130,2888/414 is 38/26910.
To find the highest common factor of 494,2888, we have to find the factors of both numbers and list the highest common factor.
The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494
The factors of 2888 are 1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888
The HCF of 494,2888 is 38.
Lets's calculate GCF of 494,2888
| 2 | 494, 2888 |
| 19 | 247, 1444 |
| 13, 76 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 494,2888 By Matching Biggest Common Factor Method
Now, list down the factors of 494
:1,2,13,19,26,38,247,494
Now, list down the factors of 2888
:1,2,4,8,19,38,76,152,361,722,1444,2888
Greatest Common Factor
We found the factors 494,2888 . The biggest common factor number is the GCF number.
So the greatest common factor 494,2888 is 38.
Lets's calculate LCM of 130,414
| 2 | 130, 414 |
| 65, 207 |
∴ So the LCM of the given numbers is 2 x 65 x 207 = 26910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/26910
Therefore, the GCF of Fractions 494/130,2888/414 is 38/26910
Least Common Multiple of 130,414 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 130,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,414) x common factors =2 x 1 = 2
LCM(130,414) = ( 130 × 414 ) / 2
LCM(130,414) = 53820 / 2
LCM(130,414) = 26910
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FAQs on GCF of Fractions of 494/130, 2888/414
1. What is the HCF of 494,2888?
The HCF of 494,2888 is 38
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 494/130, 2888/414?
Answer: GCF of Numerators as per given numbers 494/130, 2888/414 is
GCF of Numerators i.e. for 494,2888 is 38
LCM of denominators i.e. for 130,414 is 26910.
Thus, GCF of Fractions is 38/26910.Finally, GCF of Fractions for 494/130, 2888/414 is 38/26910.