GCF of 3054/742, 1239/5131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3054/742, 1239/5131 i.e 3/543886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3054/742, 1239/5131.
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 3054/742,1239/5131?
Given fractions are 3054/742,1239/5131
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 3054/742,1239/5131, numerators are 3054,1239
Denominators are 742,5131
The GCF of 3054,1239 is 3 .
LCM of 742,5131 is 543886.
The greatest common factor of 3054/742,1239/5131 = [GCF of 3054,1239]/[LCM of 742,5131]= 3/543886
Therefore, the GCF of 3054/742,1239/5131 is 3/543886.
To find the highest common factor of 3054,1239, we have to find the factors of both numbers and list the highest common factor.
The factors of 3054 are 1, 2, 3, 6, 509, 1018, 1527, 3054
The factors of 1239 are 1, 3, 7, 21, 59, 177, 413, 1239
The HCF of 3054,1239 is 3.
Lets's calculate GCF of 3054,1239
| 3 | 3054, 1239 |
| 1018, 413 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3054,1239 By Matching Biggest Common Factor Method
Now, list down the factors of 3054
:1,2,3,6,509,1018,1527,3054
Now, list down the factors of 1239
:1,3,7,21,59,177,413,1239
Greatest Common Factor
We found the factors 3054,1239 . The biggest common factor number is the GCF number.
So the greatest common factor 3054,1239 is 3.
Lets's calculate LCM of 742,5131
| 7 | 742, 5131 |
| 106, 733 |
∴ So the LCM of the given numbers is 7 x 106 x 733 = 543886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/543886
Therefore, the GCF of Fractions 3054/742,1239/5131 is 3/543886
Least Common Multiple of 742,5131 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 742,5131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,5131) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(742,5131) x common factors =7 x 1 = 7
LCM(742,5131) = ( 742 × 5131 ) / 7
LCM(742,5131) = 3807202 / 7
LCM(742,5131) = 543886
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FAQs on GCF of Fractions of 3054/742, 1239/5131
1. What is the HCF of 3054,1239?
The HCF of 3054,1239 is 3
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 3054/742, 1239/5131?
Answer: GCF of Numerators as per given numbers 3054/742, 1239/5131 is
GCF of Numerators i.e. for 3054,1239 is 3
LCM of denominators i.e. for 742,5131 is 543886.
Thus, GCF of Fractions is 3/543886.Finally, GCF of Fractions for 3054/742, 1239/5131 is 3/543886.