GCF of 4192/357, 2609/471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4192/357, 2609/471 i.e 1/56049 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4192/357, 2609/471.
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 4192/357,2609/471?
Given fractions are 4192/357,2609/471
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 4192/357,2609/471, numerators are 4192,2609
Denominators are 357,471
The GCF of 4192,2609 is 1 .
LCM of 357,471 is 56049.
The greatest common factor of 4192/357,2609/471 = [GCF of 4192,2609]/[LCM of 357,471]= 1/56049
Therefore, the GCF of 4192/357,2609/471 is 1/56049.
To find the highest common factor of 4192,2609, we have to find the factors of both numbers and list the highest common factor.
The factors of 4192 are 1, 2, 4, 8, 16, 32, 131, 262, 524, 1048, 2096, 4192
The factors of 2609 are 1, 2609
The HCF of 4192,2609 is 1.
Lets's calculate GCF of 4192,2609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4192,2609 By Matching Biggest Common Factor Method
Now, list down the factors of 4192
:1,2,4,8,16,32,131,262,524,1048,2096,4192
Now, list down the factors of 2609
:1,2609
Greatest Common Factor
We found the factors 4192,2609 . The biggest common factor number is the GCF number.
So the greatest common factor 4192,2609 is 1.
Lets's calculate LCM of 357,471
| 3 | 357, 471 |
| 119, 157 |
∴ So the LCM of the given numbers is 3 x 119 x 157 = 56049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56049
Therefore, the GCF of Fractions 4192/357,2609/471 is 1/56049
Least Common Multiple of 357,471 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 357,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,471) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(357,471) x common factors =3 x 1 = 3
LCM(357,471) = ( 357 × 471 ) / 3
LCM(357,471) = 168147 / 3
LCM(357,471) = 56049
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FAQs on GCF of Fractions of 4192/357, 2609/471
1. What is the HCF of 4192,2609?
The HCF of 4192,2609 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 4192/357, 2609/471?
Answer: GCF of Numerators as per given numbers 4192/357, 2609/471 is
GCF of Numerators i.e. for 4192,2609 is 1
LCM of denominators i.e. for 357,471 is 56049.
Thus, GCF of Fractions is 1/56049.Finally, GCF of Fractions for 4192/357, 2609/471 is 1/56049.