GCF of 1349/423, 5238/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1349/423, 5238/474 i.e 1/66834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1349/423, 5238/474.
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 1349/423,5238/474?
Given fractions are 1349/423,5238/474
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 1349/423,5238/474, numerators are 1349,5238
Denominators are 423,474
The GCF of 1349,5238 is 1 .
LCM of 423,474 is 66834.
The greatest common factor of 1349/423,5238/474 = [GCF of 1349,5238]/[LCM of 423,474]= 1/66834
Therefore, the GCF of 1349/423,5238/474 is 1/66834.
To find the highest common factor of 1349,5238, we have to find the factors of both numbers and list the highest common factor.
The factors of 1349 are 1, 19, 71, 1349
The factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238
The HCF of 1349,5238 is 1.
Lets's calculate GCF of 1349,5238
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1349,5238 By Matching Biggest Common Factor Method
Now, list down the factors of 1349
:1,19,71,1349
Now, list down the factors of 5238
:1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238
Greatest Common Factor
We found the factors 1349,5238 . The biggest common factor number is the GCF number.
So the greatest common factor 1349,5238 is 1.
Lets's calculate LCM of 423,474
| 3 | 423, 474 |
| 141, 158 |
∴ So the LCM of the given numbers is 3 x 141 x 158 = 66834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66834
Therefore, the GCF of Fractions 1349/423,5238/474 is 1/66834
Least Common Multiple of 423,474 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 423,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,474) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(423,474) x common factors =3 x 1 = 3
LCM(423,474) = ( 423 × 474 ) / 3
LCM(423,474) = 200502 / 3
LCM(423,474) = 66834
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FAQs on GCF of Fractions of 1349/423, 5238/474
1. What is the HCF of 1349,5238?
The HCF of 1349,5238 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 1349/423, 5238/474?
Answer: GCF of Numerators as per given numbers 1349/423, 5238/474 is
GCF of Numerators i.e. for 1349,5238 is 1
LCM of denominators i.e. for 423,474 is 66834.
Thus, GCF of Fractions is 1/66834.Finally, GCF of Fractions for 1349/423, 5238/474 is 1/66834.