GCF of 6103/768, 6018/9054
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6103/768, 6018/9054 i.e 17/1158912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6103/768, 6018/9054.
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 6103/768,6018/9054?
Given fractions are 6103/768,6018/9054
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 6103/768,6018/9054, numerators are 6103,6018
Denominators are 768,9054
The GCF of 6103,6018 is 17 .
LCM of 768,9054 is 1158912.
The greatest common factor of 6103/768,6018/9054 = [GCF of 6103,6018]/[LCM of 768,9054]= 17/1158912
Therefore, the GCF of 6103/768,6018/9054 is 17/1158912.
To find the highest common factor of 6103,6018, we have to find the factors of both numbers and list the highest common factor.
The factors of 6103 are 1, 17, 359, 6103
The factors of 6018 are 1, 2, 3, 6, 17, 34, 51, 59, 102, 118, 177, 354, 1003, 2006, 3009, 6018
The HCF of 6103,6018 is 17.
Lets's calculate GCF of 6103,6018
| 17 | 6103, 6018 |
| 359, 354 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 6103,6018 By Matching Biggest Common Factor Method
Now, list down the factors of 6103
:1,17,359,6103
Now, list down the factors of 6018
:1,2,3,6,17,34,51,59,102,118,177,354,1003,2006,3009,6018
Greatest Common Factor
We found the factors 6103,6018 . The biggest common factor number is the GCF number.
So the greatest common factor 6103,6018 is 17.
Lets's calculate LCM of 768,9054
| 2 | 768, 9054 |
| 3 | 384, 4527 |
| 128, 1509 |
∴ So the LCM of the given numbers is 2 x 3 x 128 x 1509 = 1158912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1158912
Therefore, the GCF of Fractions 6103/768,6018/9054 is 17/1158912
Least Common Multiple of 768,9054 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 768,9054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,9054) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(768,9054) x common factors =6 x 1 = 6
LCM(768,9054) = ( 768 × 9054 ) / 6
LCM(768,9054) = 6953472 / 6
LCM(768,9054) = 1158912
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FAQs on GCF of Fractions of 6103/768, 6018/9054
1. What is the HCF of 6103,6018?
The HCF of 6103,6018 is 17
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 6103/768, 6018/9054?
Answer: GCF of Numerators as per given numbers 6103/768, 6018/9054 is
GCF of Numerators i.e. for 6103,6018 is 17
LCM of denominators i.e. for 768,9054 is 1158912.
Thus, GCF of Fractions is 17/1158912.Finally, GCF of Fractions for 6103/768, 6018/9054 is 17/1158912.