GCF of 6670/318, 9676/6130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6670/318, 9676/6130 i.e 2/974670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6670/318, 9676/6130.
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 6670/318,9676/6130?
Given fractions are 6670/318,9676/6130
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 6670/318,9676/6130, numerators are 6670,9676
Denominators are 318,6130
The GCF of 6670,9676 is 2 .
LCM of 318,6130 is 974670.
The greatest common factor of 6670/318,9676/6130 = [GCF of 6670,9676]/[LCM of 318,6130]= 2/974670
Therefore, the GCF of 6670/318,9676/6130 is 2/974670.
To find the highest common factor of 6670,9676, we have to find the factors of both numbers and list the highest common factor.
The factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
The factors of 9676 are 1, 2, 4, 41, 59, 82, 118, 164, 236, 2419, 4838, 9676
The HCF of 6670,9676 is 2.
Lets's calculate GCF of 6670,9676
| 2 | 6670, 9676 |
| 3335, 4838 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6670,9676 By Matching Biggest Common Factor Method
Now, list down the factors of 6670
:1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Now, list down the factors of 9676
:1,2,4,41,59,82,118,164,236,2419,4838,9676
Greatest Common Factor
We found the factors 6670,9676 . The biggest common factor number is the GCF number.
So the greatest common factor 6670,9676 is 2.
Lets's calculate LCM of 318,6130
| 2 | 318, 6130 |
| 159, 3065 |
∴ So the LCM of the given numbers is 2 x 159 x 3065 = 974670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/974670
Therefore, the GCF of Fractions 6670/318,9676/6130 is 2/974670
Least Common Multiple of 318,6130 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 318,6130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,6130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(318,6130) x common factors =2 x 1 = 2
LCM(318,6130) = ( 318 × 6130 ) / 2
LCM(318,6130) = 1949340 / 2
LCM(318,6130) = 974670
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FAQs on GCF of Fractions of 6670/318, 9676/6130
1. What is the HCF of 6670,9676?
The HCF of 6670,9676 is 2
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 6670/318, 9676/6130?
Answer: GCF of Numerators as per given numbers 6670/318, 9676/6130 is
GCF of Numerators i.e. for 6670,9676 is 2
LCM of denominators i.e. for 318,6130 is 974670.
Thus, GCF of Fractions is 2/974670.Finally, GCF of Fractions for 6670/318, 9676/6130 is 2/974670.