GCF of 1018/478, 1524/6038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1018/478, 1524/6038 i.e 2/1443082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1018/478, 1524/6038.
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 1018/478,1524/6038?
Given fractions are 1018/478,1524/6038
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 1018/478,1524/6038, numerators are 1018,1524
Denominators are 478,6038
The GCF of 1018,1524 is 2 .
LCM of 478,6038 is 1443082.
The greatest common factor of 1018/478,1524/6038 = [GCF of 1018,1524]/[LCM of 478,6038]= 2/1443082
Therefore, the GCF of 1018/478,1524/6038 is 2/1443082.
To find the highest common factor of 1018,1524, we have to find the factors of both numbers and list the highest common factor.
The factors of 1018 are 1, 2, 509, 1018
The factors of 1524 are 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524
The HCF of 1018,1524 is 2.
Lets's calculate GCF of 1018,1524
| 2 | 1018, 1524 |
| 509, 762 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1018,1524 By Matching Biggest Common Factor Method
Now, list down the factors of 1018
:1,2,509,1018
Now, list down the factors of 1524
:1,2,3,4,6,12,127,254,381,508,762,1524
Greatest Common Factor
We found the factors 1018,1524 . The biggest common factor number is the GCF number.
So the greatest common factor 1018,1524 is 2.
Lets's calculate LCM of 478,6038
| 2 | 478, 6038 |
| 239, 3019 |
∴ So the LCM of the given numbers is 2 x 239 x 3019 = 1443082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1443082
Therefore, the GCF of Fractions 1018/478,1524/6038 is 2/1443082
Least Common Multiple of 478,6038 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 478,6038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,6038) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,6038) x common factors =2 x 1 = 2
LCM(478,6038) = ( 478 × 6038 ) / 2
LCM(478,6038) = 2886164 / 2
LCM(478,6038) = 1443082
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FAQs on GCF of Fractions of 1018/478, 1524/6038
1. What is the HCF of 1018,1524?
The HCF of 1018,1524 is 2
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 1018/478, 1524/6038?
Answer: GCF of Numerators as per given numbers 1018/478, 1524/6038 is
GCF of Numerators i.e. for 1018,1524 is 2
LCM of denominators i.e. for 478,6038 is 1443082.
Thus, GCF of Fractions is 2/1443082.Finally, GCF of Fractions for 1018/478, 1524/6038 is 2/1443082.