GCF of 2482/748, 5013/6128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2482/748, 5013/6128 i.e 1/1145936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2482/748, 5013/6128.
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 2482/748,5013/6128?
Given fractions are 2482/748,5013/6128
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 2482/748,5013/6128, numerators are 2482,5013
Denominators are 748,6128
The GCF of 2482,5013 is 1 .
LCM of 748,6128 is 1145936.
The greatest common factor of 2482/748,5013/6128 = [GCF of 2482,5013]/[LCM of 748,6128]= 1/1145936
Therefore, the GCF of 2482/748,5013/6128 is 1/1145936.
To find the highest common factor of 2482,5013, we have to find the factors of both numbers and list the highest common factor.
The factors of 2482 are 1, 2, 17, 34, 73, 146, 1241, 2482
The factors of 5013 are 1, 3, 9, 557, 1671, 5013
The HCF of 2482,5013 is 1.
Lets's calculate GCF of 2482,5013
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2482,5013 By Matching Biggest Common Factor Method
Now, list down the factors of 2482
:1,2,17,34,73,146,1241,2482
Now, list down the factors of 5013
:1,3,9,557,1671,5013
Greatest Common Factor
We found the factors 2482,5013 . The biggest common factor number is the GCF number.
So the greatest common factor 2482,5013 is 1.
Lets's calculate LCM of 748,6128
| 2 | 748, 6128 |
| 2 | 374, 3064 |
| 187, 1532 |
∴ So the LCM of the given numbers is 2 x 2 x 187 x 1532 = 1145936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1145936
Therefore, the GCF of Fractions 2482/748,5013/6128 is 1/1145936
Least Common Multiple of 748,6128 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 748,6128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,6128) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(748,6128) x common factors =4 x 1 = 4
LCM(748,6128) = ( 748 × 6128 ) / 4
LCM(748,6128) = 4583744 / 4
LCM(748,6128) = 1145936
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FAQs on GCF of Fractions of 2482/748, 5013/6128
1. What is the HCF of 2482,5013?
The HCF of 2482,5013 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 2482/748, 5013/6128?
Answer: GCF of Numerators as per given numbers 2482/748, 5013/6128 is
GCF of Numerators i.e. for 2482,5013 is 1
LCM of denominators i.e. for 748,6128 is 1145936.
Thus, GCF of Fractions is 1/1145936.Finally, GCF of Fractions for 2482/748, 5013/6128 is 1/1145936.