GCF of 8289/950, 6117/134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8289/950, 6117/134 i.e 3/63650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8289/950, 6117/134.
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 8289/950,6117/134?
Given fractions are 8289/950,6117/134
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 8289/950,6117/134, numerators are 8289,6117
Denominators are 950,134
The GCF of 8289,6117 is 3 .
LCM of 950,134 is 63650.
The greatest common factor of 8289/950,6117/134 = [GCF of 8289,6117]/[LCM of 950,134]= 3/63650
Therefore, the GCF of 8289/950,6117/134 is 3/63650.
To find the highest common factor of 8289,6117, we have to find the factors of both numbers and list the highest common factor.
The factors of 8289 are 1, 3, 9, 27, 307, 921, 2763, 8289
The factors of 6117 are 1, 3, 2039, 6117
The HCF of 8289,6117 is 3.
Lets's calculate GCF of 8289,6117
| 3 | 8289, 6117 |
| 2763, 2039 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8289,6117 By Matching Biggest Common Factor Method
Now, list down the factors of 8289
:1,3,9,27,307,921,2763,8289
Now, list down the factors of 6117
:1,3,2039,6117
Greatest Common Factor
We found the factors 8289,6117 . The biggest common factor number is the GCF number.
So the greatest common factor 8289,6117 is 3.
Lets's calculate LCM of 950,134
| 2 | 950, 134 |
| 475, 67 |
∴ So the LCM of the given numbers is 2 x 475 x 67 = 63650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/63650
Therefore, the GCF of Fractions 8289/950,6117/134 is 3/63650
Least Common Multiple of 950,134 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 950,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(950,134) x common factors =2 x 1 = 2
LCM(950,134) = ( 950 × 134 ) / 2
LCM(950,134) = 127300 / 2
LCM(950,134) = 63650
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FAQs on GCF of Fractions of 8289/950, 6117/134
1. What is the HCF of 8289,6117?
The HCF of 8289,6117 is 3
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 8289/950, 6117/134?
Answer: GCF of Numerators as per given numbers 8289/950, 6117/134 is
GCF of Numerators i.e. for 8289,6117 is 3
LCM of denominators i.e. for 950,134 is 63650.
Thus, GCF of Fractions is 3/63650.Finally, GCF of Fractions for 8289/950, 6117/134 is 3/63650.