GCF of 1329/279, 1235/3633
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1329/279, 1235/3633 i.e 1/337869 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1329/279, 1235/3633.
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 1329/279,1235/3633?
Given fractions are 1329/279,1235/3633
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 1329/279,1235/3633, numerators are 1329,1235
Denominators are 279,3633
The GCF of 1329,1235 is 1 .
LCM of 279,3633 is 337869.
The greatest common factor of 1329/279,1235/3633 = [GCF of 1329,1235]/[LCM of 279,3633]= 1/337869
Therefore, the GCF of 1329/279,1235/3633 is 1/337869.
To find the highest common factor of 1329,1235, we have to find the factors of both numbers and list the highest common factor.
The factors of 1329 are 1, 3, 443, 1329
The factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235
The HCF of 1329,1235 is 1.
Lets's calculate GCF of 1329,1235
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1329,1235 By Matching Biggest Common Factor Method
Now, list down the factors of 1329
:1,3,443,1329
Now, list down the factors of 1235
:1,5,13,19,65,95,247,1235
Greatest Common Factor
We found the factors 1329,1235 . The biggest common factor number is the GCF number.
So the greatest common factor 1329,1235 is 1.
Lets's calculate LCM of 279,3633
| 3 | 279, 3633 |
| 93, 1211 |
∴ So the LCM of the given numbers is 3 x 93 x 1211 = 337869
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337869
Therefore, the GCF of Fractions 1329/279,1235/3633 is 1/337869
Least Common Multiple of 279,3633 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 279,3633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,3633) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(279,3633) x common factors =3 x 1 = 3
LCM(279,3633) = ( 279 × 3633 ) / 3
LCM(279,3633) = 1013607 / 3
LCM(279,3633) = 337869
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FAQs on GCF of Fractions of 1329/279, 1235/3633
1. What is the HCF of 1329,1235?
The HCF of 1329,1235 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 1329/279, 1235/3633?
Answer: GCF of Numerators as per given numbers 1329/279, 1235/3633 is
GCF of Numerators i.e. for 1329,1235 is 1
LCM of denominators i.e. for 279,3633 is 337869.
Thus, GCF of Fractions is 1/337869.Finally, GCF of Fractions for 1329/279, 1235/3633 is 1/337869.