GCF of 7057/213, 5340/138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7057/213, 5340/138 i.e 1/9798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7057/213, 5340/138.
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 7057/213,5340/138?
Given fractions are 7057/213,5340/138
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 7057/213,5340/138, numerators are 7057,5340
Denominators are 213,138
The GCF of 7057,5340 is 1 .
LCM of 213,138 is 9798.
The greatest common factor of 7057/213,5340/138 = [GCF of 7057,5340]/[LCM of 213,138]= 1/9798
Therefore, the GCF of 7057/213,5340/138 is 1/9798.
To find the highest common factor of 7057,5340, we have to find the factors of both numbers and list the highest common factor.
The factors of 7057 are 1, 7057
The factors of 5340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340
The HCF of 7057,5340 is 1.
Lets's calculate GCF of 7057,5340
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7057,5340 By Matching Biggest Common Factor Method
Now, list down the factors of 7057
:1,7057
Now, list down the factors of 5340
:1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340
Greatest Common Factor
We found the factors 7057,5340 . The biggest common factor number is the GCF number.
So the greatest common factor 7057,5340 is 1.
Lets's calculate LCM of 213,138
| 3 | 213, 138 |
| 71, 46 |
∴ So the LCM of the given numbers is 3 x 71 x 46 = 9798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9798
Therefore, the GCF of Fractions 7057/213,5340/138 is 1/9798
Least Common Multiple of 213,138 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 213,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,138) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,138) x common factors =3 x 1 = 3
LCM(213,138) = ( 213 × 138 ) / 3
LCM(213,138) = 29394 / 3
LCM(213,138) = 9798
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7057/213, 5340/138
1. What is the HCF of 7057,5340?
The HCF of 7057,5340 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 7057/213, 5340/138?
Answer: GCF of Numerators as per given numbers 7057/213, 5340/138 is
GCF of Numerators i.e. for 7057,5340 is 1
LCM of denominators i.e. for 213,138 is 9798.
Thus, GCF of Fractions is 1/9798.Finally, GCF of Fractions for 7057/213, 5340/138 is 1/9798.