GCF of 4177/146, 1672/1241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4177/146, 1672/1241 i.e 1/2482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4177/146, 1672/1241.
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 4177/146,1672/1241?
Given fractions are 4177/146,1672/1241
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 4177/146,1672/1241, numerators are 4177,1672
Denominators are 146,1241
The GCF of 4177,1672 is 1 .
LCM of 146,1241 is 2482.
The greatest common factor of 4177/146,1672/1241 = [GCF of 4177,1672]/[LCM of 146,1241]= 1/2482
Therefore, the GCF of 4177/146,1672/1241 is 1/2482.
To find the highest common factor of 4177,1672, we have to find the factors of both numbers and list the highest common factor.
The factors of 4177 are 1, 4177
The factors of 1672 are 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672
The HCF of 4177,1672 is 1.
Lets's calculate GCF of 4177,1672
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4177,1672 By Matching Biggest Common Factor Method
Now, list down the factors of 4177
:1,4177
Now, list down the factors of 1672
:1,2,4,8,11,19,22,38,44,76,88,152,209,418,836,1672
Greatest Common Factor
We found the factors 4177,1672 . The biggest common factor number is the GCF number.
So the greatest common factor 4177,1672 is 1.
Lets's calculate LCM of 146,1241
| 73 | 146, 1241 |
| 2, 17 |
∴ So the LCM of the given numbers is 73 x 2 x 17 = 2482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2482
Therefore, the GCF of Fractions 4177/146,1672/1241 is 1/2482
Least Common Multiple of 146,1241 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 146,1241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,1241) = 73
common factors(in case of two or more numbers have common factors) = 1
GCF(146,1241) x common factors =73 x 1 = 73
LCM(146,1241) = ( 146 × 1241 ) / 73
LCM(146,1241) = 181186 / 73
LCM(146,1241) = 2482
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FAQs on GCF of Fractions of 4177/146, 1672/1241
1. What is the HCF of 4177,1672?
The HCF of 4177,1672 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 4177/146, 1672/1241?
Answer: GCF of Numerators as per given numbers 4177/146, 1672/1241 is
GCF of Numerators i.e. for 4177,1672 is 1
LCM of denominators i.e. for 146,1241 is 2482.
Thus, GCF of Fractions is 1/2482.Finally, GCF of Fractions for 4177/146, 1672/1241 is 1/2482.