GCF of 43/66, 613/21, 697/247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/66, 613/21, 697/247 i.e 1/114114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/66, 613/21, 697/247.
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 43/66,613/21,697/247?
Given fractions are 43/66,613/21,697/247
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 43/66,613/21,697/247, numerators are 43,613,697
Denominators are 66,21,247
The GCF of 43,613,697 is 1 .
LCM of 66,21,247 is 114114.
The greatest common factor of 43/66,613/21,697/247 = [GCF of 43,613,697]/[LCM of 66,21,247]= 1/114114
Therefore, the GCF of 43/66,613/21,697/247 is 1/114114.
To find the highest common factor of 43,613,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 613 are 1, 613
The factors of 697 are 1, 17, 41, 697
The HCF of 43,613,697 is 1.
Lets's calculate GCF of 43,613,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,613,697 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 613
:1,613
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 43,613,697 . The biggest common factor number is the GCF number.
So the greatest common factor 43,613,697 is 1.
Lets's calculate LCM of 66,21,247
| 3 | 66, 21, 247 |
| 22, 7, 247 |
∴ So the LCM of the given numbers is 3 x 22 x 7 x 247 = 114114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114114
Therefore, the GCF of Fractions 43/66,613/21,697/247 is 1/114114
Least Common Multiple of 66,21,247 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 66,21,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,21,247) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(66,21,247) x common factors =1 x 3 = 3
LCM(66,21,247) = ( 66 × 21 × 247 ) / 3
LCM(66,21,247) = 342342 / 3
LCM(66,21,247) = 114114
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FAQs on GCF of Fractions of 43/66, 613/21, 697/247
1. What is the HCF of 43,613,697?
The HCF of 43,613,697 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 43/66, 613/21, 697/247?
Answer: GCF of Numerators as per given numbers 43/66, 613/21, 697/247 is
GCF of Numerators i.e. for 43,613,697 is 1
LCM of denominators i.e. for 66,21,247 is 114114.
Thus, GCF of Fractions is 1/114114.Finally, GCF of Fractions for 43/66, 613/21, 697/247 is 1/114114.