GCF of 9715/199, 7134/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9715/199, 7134/418 i.e 29/83182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9715/199, 7134/418.
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 9715/199,7134/418?
Given fractions are 9715/199,7134/418
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 9715/199,7134/418, numerators are 9715,7134
Denominators are 199,418
The GCF of 9715,7134 is 29 .
LCM of 199,418 is 83182.
The greatest common factor of 9715/199,7134/418 = [GCF of 9715,7134]/[LCM of 199,418]= 29/83182
Therefore, the GCF of 9715/199,7134/418 is 29/83182.
To find the highest common factor of 9715,7134, we have to find the factors of both numbers and list the highest common factor.
The factors of 9715 are 1, 5, 29, 67, 145, 335, 1943, 9715
The factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134
The HCF of 9715,7134 is 29.
Lets's calculate GCF of 9715,7134
| 29 | 9715, 7134 |
| 335, 246 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 9715,7134 By Matching Biggest Common Factor Method
Now, list down the factors of 9715
:1,5,29,67,145,335,1943,9715
Now, list down the factors of 7134
:1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134
Greatest Common Factor
We found the factors 9715,7134 . The biggest common factor number is the GCF number.
So the greatest common factor 9715,7134 is 29.
Lets's calculate LCM of 199,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 83182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/83182
Therefore, the GCF of Fractions 9715/199,7134/418 is 29/83182
Least Common Multiple of 199,418 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 199,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,418) x common factors =1 x 1 = 1
LCM(199,418) = ( 199 × 418 ) / 1
LCM(199,418) = 83182 / 1
LCM(199,418) = 83182
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FAQs on GCF of Fractions of 9715/199, 7134/418
1. What is the HCF of 9715,7134?
The HCF of 9715,7134 is 29
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 9715/199, 7134/418?
Answer: GCF of Numerators as per given numbers 9715/199, 7134/418 is
GCF of Numerators i.e. for 9715,7134 is 29
LCM of denominators i.e. for 199,418 is 83182.
Thus, GCF of Fractions is 29/83182.Finally, GCF of Fractions for 9715/199, 7134/418 is 29/83182.