GCF of 1670/220, 7694/8353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1670/220, 7694/8353 i.e 2/1837660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1670/220, 7694/8353.
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 1670/220,7694/8353?
Given fractions are 1670/220,7694/8353
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 1670/220,7694/8353, numerators are 1670,7694
Denominators are 220,8353
The GCF of 1670,7694 is 2 .
LCM of 220,8353 is 1837660.
The greatest common factor of 1670/220,7694/8353 = [GCF of 1670,7694]/[LCM of 220,8353]= 2/1837660
Therefore, the GCF of 1670/220,7694/8353 is 2/1837660.
To find the highest common factor of 1670,7694, we have to find the factors of both numbers and list the highest common factor.
The factors of 1670 are 1, 2, 5, 10, 167, 334, 835, 1670
The factors of 7694 are 1, 2, 3847, 7694
The HCF of 1670,7694 is 2.
Lets's calculate GCF of 1670,7694
| 2 | 1670, 7694 |
| 835, 3847 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1670,7694 By Matching Biggest Common Factor Method
Now, list down the factors of 1670
:1,2,5,10,167,334,835,1670
Now, list down the factors of 7694
:1,2,3847,7694
Greatest Common Factor
We found the factors 1670,7694 . The biggest common factor number is the GCF number.
So the greatest common factor 1670,7694 is 2.
Lets's calculate LCM of 220,8353
Given numbers has no common factors except 1. So, there LCM is their product i.e 1837660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1837660
Therefore, the GCF of Fractions 1670/220,7694/8353 is 2/1837660
Least Common Multiple of 220,8353 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 220,8353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,8353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,8353) x common factors =1 x 1 = 1
LCM(220,8353) = ( 220 × 8353 ) / 1
LCM(220,8353) = 1837660 / 1
LCM(220,8353) = 1837660
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FAQs on GCF of Fractions of 1670/220, 7694/8353
1. What is the HCF of 1670,7694?
The HCF of 1670,7694 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 1670/220, 7694/8353?
Answer: GCF of Numerators as per given numbers 1670/220, 7694/8353 is
GCF of Numerators i.e. for 1670,7694 is 2
LCM of denominators i.e. for 220,8353 is 1837660.
Thus, GCF of Fractions is 2/1837660.Finally, GCF of Fractions for 1670/220, 7694/8353 is 2/1837660.