GCF of 6169/124, 3798/306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6169/124, 3798/306 i.e 1/18972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6169/124, 3798/306.
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 6169/124,3798/306?
Given fractions are 6169/124,3798/306
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 6169/124,3798/306, numerators are 6169,3798
Denominators are 124,306
The GCF of 6169,3798 is 1 .
LCM of 124,306 is 18972.
The greatest common factor of 6169/124,3798/306 = [GCF of 6169,3798]/[LCM of 124,306]= 1/18972
Therefore, the GCF of 6169/124,3798/306 is 1/18972.
To find the highest common factor of 6169,3798, we have to find the factors of both numbers and list the highest common factor.
The factors of 6169 are 1, 31, 199, 6169
The factors of 3798 are 1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798
The HCF of 6169,3798 is 1.
Lets's calculate GCF of 6169,3798
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6169,3798 By Matching Biggest Common Factor Method
Now, list down the factors of 6169
:1,31,199,6169
Now, list down the factors of 3798
:1,2,3,6,9,18,211,422,633,1266,1899,3798
Greatest Common Factor
We found the factors 6169,3798 . The biggest common factor number is the GCF number.
So the greatest common factor 6169,3798 is 1.
Lets's calculate LCM of 124,306
| 2 | 124, 306 |
| 62, 153 |
∴ So the LCM of the given numbers is 2 x 62 x 153 = 18972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18972
Therefore, the GCF of Fractions 6169/124,3798/306 is 1/18972
Least Common Multiple of 124,306 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 124,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(124,306) x common factors =2 x 1 = 2
LCM(124,306) = ( 124 × 306 ) / 2
LCM(124,306) = 37944 / 2
LCM(124,306) = 18972
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FAQs on GCF of Fractions of 6169/124, 3798/306
1. What is the HCF of 6169,3798?
The HCF of 6169,3798 is 1
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 6169/124, 3798/306?
Answer: GCF of Numerators as per given numbers 6169/124, 3798/306 is
GCF of Numerators i.e. for 6169,3798 is 1
LCM of denominators i.e. for 124,306 is 18972.
Thus, GCF of Fractions is 1/18972.Finally, GCF of Fractions for 6169/124, 3798/306 is 1/18972.