GCF of 8330/134, 6613/1139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8330/134, 6613/1139 i.e 17/2278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8330/134, 6613/1139.
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 8330/134,6613/1139?
Given fractions are 8330/134,6613/1139
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 8330/134,6613/1139, numerators are 8330,6613
Denominators are 134,1139
The GCF of 8330,6613 is 17 .
LCM of 134,1139 is 2278.
The greatest common factor of 8330/134,6613/1139 = [GCF of 8330,6613]/[LCM of 134,1139]= 17/2278
Therefore, the GCF of 8330/134,6613/1139 is 17/2278.
To find the highest common factor of 8330,6613, we have to find the factors of both numbers and list the highest common factor.
The factors of 8330 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330
The factors of 6613 are 1, 17, 389, 6613
The HCF of 8330,6613 is 17.
Lets's calculate GCF of 8330,6613
| 17 | 8330, 6613 |
| 490, 389 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 8330,6613 By Matching Biggest Common Factor Method
Now, list down the factors of 8330
:1,2,5,7,10,14,17,34,35,49,70,85,98,119,170,238,245,490,595,833,1190,1666,4165,8330
Now, list down the factors of 6613
:1,17,389,6613
Greatest Common Factor
We found the factors 8330,6613 . The biggest common factor number is the GCF number.
So the greatest common factor 8330,6613 is 17.
Lets's calculate LCM of 134,1139
| 67 | 134, 1139 |
| 2, 17 |
∴ So the LCM of the given numbers is 67 x 2 x 17 = 2278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2278
Therefore, the GCF of Fractions 8330/134,6613/1139 is 17/2278
Least Common Multiple of 134,1139 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 134,1139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,1139) = 67
common factors(in case of two or more numbers have common factors) = 1
GCF(134,1139) x common factors =67 x 1 = 67
LCM(134,1139) = ( 134 × 1139 ) / 67
LCM(134,1139) = 152626 / 67
LCM(134,1139) = 2278
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FAQs on GCF of Fractions of 8330/134, 6613/1139
1. What is the HCF of 8330,6613?
The HCF of 8330,6613 is 17
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 8330/134, 6613/1139?
Answer: GCF of Numerators as per given numbers 8330/134, 6613/1139 is
GCF of Numerators i.e. for 8330,6613 is 17
LCM of denominators i.e. for 134,1139 is 2278.
Thus, GCF of Fractions is 17/2278.Finally, GCF of Fractions for 8330/134, 6613/1139 is 17/2278.