GCF of 1378/230, 6097/588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1378/230, 6097/588 i.e 13/67620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1378/230, 6097/588.
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 1378/230,6097/588?
Given fractions are 1378/230,6097/588
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 1378/230,6097/588, numerators are 1378,6097
Denominators are 230,588
The GCF of 1378,6097 is 13 .
LCM of 230,588 is 67620.
The greatest common factor of 1378/230,6097/588 = [GCF of 1378,6097]/[LCM of 230,588]= 13/67620
Therefore, the GCF of 1378/230,6097/588 is 13/67620.
To find the highest common factor of 1378,6097, we have to find the factors of both numbers and list the highest common factor.
The factors of 1378 are 1, 2, 13, 26, 53, 106, 689, 1378
The factors of 6097 are 1, 7, 13, 67, 91, 469, 871, 6097
The HCF of 1378,6097 is 13.
Lets's calculate GCF of 1378,6097
| 13 | 1378, 6097 |
| 106, 469 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1378,6097 By Matching Biggest Common Factor Method
Now, list down the factors of 1378
:1,2,13,26,53,106,689,1378
Now, list down the factors of 6097
:1,7,13,67,91,469,871,6097
Greatest Common Factor
We found the factors 1378,6097 . The biggest common factor number is the GCF number.
So the greatest common factor 1378,6097 is 13.
Lets's calculate LCM of 230,588
| 2 | 230, 588 |
| 115, 294 |
∴ So the LCM of the given numbers is 2 x 115 x 294 = 67620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/67620
Therefore, the GCF of Fractions 1378/230,6097/588 is 13/67620
Least Common Multiple of 230,588 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 230,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,588) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(230,588) x common factors =2 x 1 = 2
LCM(230,588) = ( 230 × 588 ) / 2
LCM(230,588) = 135240 / 2
LCM(230,588) = 67620
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FAQs on GCF of Fractions of 1378/230, 6097/588
1. What is the HCF of 1378,6097?
The HCF of 1378,6097 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 1378/230, 6097/588?
Answer: GCF of Numerators as per given numbers 1378/230, 6097/588 is
GCF of Numerators i.e. for 1378,6097 is 13
LCM of denominators i.e. for 230,588 is 67620.
Thus, GCF of Fractions is 13/67620.Finally, GCF of Fractions for 1378/230, 6097/588 is 13/67620.