GCF of 3649/166, 6905/9500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3649/166, 6905/9500 i.e 1/788500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3649/166, 6905/9500.
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 3649/166,6905/9500?
Given fractions are 3649/166,6905/9500
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 3649/166,6905/9500, numerators are 3649,6905
Denominators are 166,9500
The GCF of 3649,6905 is 1 .
LCM of 166,9500 is 788500.
The greatest common factor of 3649/166,6905/9500 = [GCF of 3649,6905]/[LCM of 166,9500]= 1/788500
Therefore, the GCF of 3649/166,6905/9500 is 1/788500.
To find the highest common factor of 3649,6905, we have to find the factors of both numbers and list the highest common factor.
The factors of 3649 are 1, 41, 89, 3649
The factors of 6905 are 1, 5, 1381, 6905
The HCF of 3649,6905 is 1.
Lets's calculate GCF of 3649,6905
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3649,6905 By Matching Biggest Common Factor Method
Now, list down the factors of 3649
:1,41,89,3649
Now, list down the factors of 6905
:1,5,1381,6905
Greatest Common Factor
We found the factors 3649,6905 . The biggest common factor number is the GCF number.
So the greatest common factor 3649,6905 is 1.
Lets's calculate LCM of 166,9500
| 2 | 166, 9500 |
| 83, 4750 |
∴ So the LCM of the given numbers is 2 x 83 x 4750 = 788500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/788500
Therefore, the GCF of Fractions 3649/166,6905/9500 is 1/788500
Least Common Multiple of 166,9500 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 166,9500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,9500) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,9500) x common factors =2 x 1 = 2
LCM(166,9500) = ( 166 × 9500 ) / 2
LCM(166,9500) = 1577000 / 2
LCM(166,9500) = 788500
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FAQs on GCF of Fractions of 3649/166, 6905/9500
1. What is the HCF of 3649,6905?
The HCF of 3649,6905 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 3649/166, 6905/9500?
Answer: GCF of Numerators as per given numbers 3649/166, 6905/9500 is
GCF of Numerators i.e. for 3649,6905 is 1
LCM of denominators i.e. for 166,9500 is 788500.
Thus, GCF of Fractions is 1/788500.Finally, GCF of Fractions for 3649/166, 6905/9500 is 1/788500.