GCF of 9707/414, 1283/186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9707/414, 1283/186 i.e 1/12834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9707/414, 1283/186.
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 9707/414,1283/186?
Given fractions are 9707/414,1283/186
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 9707/414,1283/186, numerators are 9707,1283
Denominators are 414,186
The GCF of 9707,1283 is 1 .
LCM of 414,186 is 12834.
The greatest common factor of 9707/414,1283/186 = [GCF of 9707,1283]/[LCM of 414,186]= 1/12834
Therefore, the GCF of 9707/414,1283/186 is 1/12834.
To find the highest common factor of 9707,1283, we have to find the factors of both numbers and list the highest common factor.
The factors of 9707 are 1, 17, 571, 9707
The factors of 1283 are 1, 1283
The HCF of 9707,1283 is 1.
Lets's calculate GCF of 9707,1283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9707,1283 By Matching Biggest Common Factor Method
Now, list down the factors of 9707
:1,17,571,9707
Now, list down the factors of 1283
:1,1283
Greatest Common Factor
We found the factors 9707,1283 . The biggest common factor number is the GCF number.
So the greatest common factor 9707,1283 is 1.
Lets's calculate LCM of 414,186
| 2 | 414, 186 |
| 3 | 207, 93 |
| 69, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 69 x 31 = 12834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12834
Therefore, the GCF of Fractions 9707/414,1283/186 is 1/12834
Least Common Multiple of 414,186 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 414,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,186) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(414,186) x common factors =6 x 1 = 6
LCM(414,186) = ( 414 × 186 ) / 6
LCM(414,186) = 77004 / 6
LCM(414,186) = 12834
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FAQs on GCF of Fractions of 9707/414, 1283/186
1. What is the HCF of 9707,1283?
The HCF of 9707,1283 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 9707/414, 1283/186?
Answer: GCF of Numerators as per given numbers 9707/414, 1283/186 is
GCF of Numerators i.e. for 9707,1283 is 1
LCM of denominators i.e. for 414,186 is 12834.
Thus, GCF of Fractions is 1/12834.Finally, GCF of Fractions for 9707/414, 1283/186 is 1/12834.