GCF of 2679/203, 1574/3306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2679/203, 1574/3306 i.e 1/23142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2679/203, 1574/3306.
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 2679/203,1574/3306?
Given fractions are 2679/203,1574/3306
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 2679/203,1574/3306, numerators are 2679,1574
Denominators are 203,3306
The GCF of 2679,1574 is 1 .
LCM of 203,3306 is 23142.
The greatest common factor of 2679/203,1574/3306 = [GCF of 2679,1574]/[LCM of 203,3306]= 1/23142
Therefore, the GCF of 2679/203,1574/3306 is 1/23142.
To find the highest common factor of 2679,1574, we have to find the factors of both numbers and list the highest common factor.
The factors of 2679 are 1, 3, 19, 47, 57, 141, 893, 2679
The factors of 1574 are 1, 2, 787, 1574
The HCF of 2679,1574 is 1.
Lets's calculate GCF of 2679,1574
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2679,1574 By Matching Biggest Common Factor Method
Now, list down the factors of 2679
:1,3,19,47,57,141,893,2679
Now, list down the factors of 1574
:1,2,787,1574
Greatest Common Factor
We found the factors 2679,1574 . The biggest common factor number is the GCF number.
So the greatest common factor 2679,1574 is 1.
Lets's calculate LCM of 203,3306
| 29 | 203, 3306 |
| 7, 114 |
∴ So the LCM of the given numbers is 29 x 7 x 114 = 23142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23142
Therefore, the GCF of Fractions 2679/203,1574/3306 is 1/23142
Least Common Multiple of 203,3306 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 203,3306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,3306) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(203,3306) x common factors =29 x 1 = 29
LCM(203,3306) = ( 203 × 3306 ) / 29
LCM(203,3306) = 671118 / 29
LCM(203,3306) = 23142
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FAQs on GCF of Fractions of 2679/203, 1574/3306
1. What is the HCF of 2679,1574?
The HCF of 2679,1574 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 2679/203, 1574/3306?
Answer: GCF of Numerators as per given numbers 2679/203, 1574/3306 is
GCF of Numerators i.e. for 2679,1574 is 1
LCM of denominators i.e. for 203,3306 is 23142.
Thus, GCF of Fractions is 1/23142.Finally, GCF of Fractions for 2679/203, 1574/3306 is 1/23142.