GCF of 3739/879, 7290/1089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3739/879, 7290/1089 i.e 1/319077 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3739/879, 7290/1089.
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 3739/879,7290/1089?
Given fractions are 3739/879,7290/1089
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 3739/879,7290/1089, numerators are 3739,7290
Denominators are 879,1089
The GCF of 3739,7290 is 1 .
LCM of 879,1089 is 319077.
The greatest common factor of 3739/879,7290/1089 = [GCF of 3739,7290]/[LCM of 879,1089]= 1/319077
Therefore, the GCF of 3739/879,7290/1089 is 1/319077.
To find the highest common factor of 3739,7290, we have to find the factors of both numbers and list the highest common factor.
The factors of 3739 are 1, 3739
The factors of 7290 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290
The HCF of 3739,7290 is 1.
Lets's calculate GCF of 3739,7290
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3739,7290 By Matching Biggest Common Factor Method
Now, list down the factors of 3739
:1,3739
Now, list down the factors of 7290
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290
Greatest Common Factor
We found the factors 3739,7290 . The biggest common factor number is the GCF number.
So the greatest common factor 3739,7290 is 1.
Lets's calculate LCM of 879,1089
| 3 | 879, 1089 |
| 293, 363 |
∴ So the LCM of the given numbers is 3 x 293 x 363 = 319077
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319077
Therefore, the GCF of Fractions 3739/879,7290/1089 is 1/319077
Least Common Multiple of 879,1089 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 879,1089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,1089) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(879,1089) x common factors =3 x 1 = 3
LCM(879,1089) = ( 879 × 1089 ) / 3
LCM(879,1089) = 957231 / 3
LCM(879,1089) = 319077
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FAQs on GCF of Fractions of 3739/879, 7290/1089
1. What is the HCF of 3739,7290?
The HCF of 3739,7290 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 3739/879, 7290/1089?
Answer: GCF of Numerators as per given numbers 3739/879, 7290/1089 is
GCF of Numerators i.e. for 3739,7290 is 1
LCM of denominators i.e. for 879,1089 is 319077.
Thus, GCF of Fractions is 1/319077.Finally, GCF of Fractions for 3739/879, 7290/1089 is 1/319077.