GCF of 3094/578, 1209/5203
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3094/578, 1209/5203 i.e 13/3007334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3094/578, 1209/5203.
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 3094/578,1209/5203?
Given fractions are 3094/578,1209/5203
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 3094/578,1209/5203, numerators are 3094,1209
Denominators are 578,5203
The GCF of 3094,1209 is 13 .
LCM of 578,5203 is 3007334.
The greatest common factor of 3094/578,1209/5203 = [GCF of 3094,1209]/[LCM of 578,5203]= 13/3007334
Therefore, the GCF of 3094/578,1209/5203 is 13/3007334.
To find the highest common factor of 3094,1209, we have to find the factors of both numbers and list the highest common factor.
The factors of 3094 are 1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 442, 1547, 3094
The factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209
The HCF of 3094,1209 is 13.
Lets's calculate GCF of 3094,1209
| 13 | 3094, 1209 |
| 238, 93 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3094,1209 By Matching Biggest Common Factor Method
Now, list down the factors of 3094
:1,2,7,13,14,17,26,34,91,119,182,221,238,442,1547,3094
Now, list down the factors of 1209
:1,3,13,31,39,93,403,1209
Greatest Common Factor
We found the factors 3094,1209 . The biggest common factor number is the GCF number.
So the greatest common factor 3094,1209 is 13.
Lets's calculate LCM of 578,5203
Given numbers has no common factors except 1. So, there LCM is their product i.e 3007334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3007334
Therefore, the GCF of Fractions 3094/578,1209/5203 is 13/3007334
Least Common Multiple of 578,5203 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 578,5203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,5203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(578,5203) x common factors =1 x 1 = 1
LCM(578,5203) = ( 578 × 5203 ) / 1
LCM(578,5203) = 3007334 / 1
LCM(578,5203) = 3007334
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FAQs on GCF of Fractions of 3094/578, 1209/5203
1. What is the HCF of 3094,1209?
The HCF of 3094,1209 is 13
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 3094/578, 1209/5203?
Answer: GCF of Numerators as per given numbers 3094/578, 1209/5203 is
GCF of Numerators i.e. for 3094,1209 is 13
LCM of denominators i.e. for 578,5203 is 3007334.
Thus, GCF of Fractions is 13/3007334.Finally, GCF of Fractions for 3094/578, 1209/5203 is 13/3007334.