GCF of 3166/448, 4301/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3166/448, 4301/360 i.e 1/20160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3166/448, 4301/360.
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 3166/448,4301/360?
Given fractions are 3166/448,4301/360
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 3166/448,4301/360, numerators are 3166,4301
Denominators are 448,360
The GCF of 3166,4301 is 1 .
LCM of 448,360 is 20160.
The greatest common factor of 3166/448,4301/360 = [GCF of 3166,4301]/[LCM of 448,360]= 1/20160
Therefore, the GCF of 3166/448,4301/360 is 1/20160.
To find the highest common factor of 3166,4301, we have to find the factors of both numbers and list the highest common factor.
The factors of 3166 are 1, 2, 1583, 3166
The factors of 4301 are 1, 11, 17, 23, 187, 253, 391, 4301
The HCF of 3166,4301 is 1.
Lets's calculate GCF of 3166,4301
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3166,4301 By Matching Biggest Common Factor Method
Now, list down the factors of 3166
:1,2,1583,3166
Now, list down the factors of 4301
:1,11,17,23,187,253,391,4301
Greatest Common Factor
We found the factors 3166,4301 . The biggest common factor number is the GCF number.
So the greatest common factor 3166,4301 is 1.
Lets's calculate LCM of 448,360
| 2 | 448, 360 |
| 2 | 224, 180 |
| 2 | 112, 90 |
| 56, 45 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 56 x 45 = 20160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20160
Therefore, the GCF of Fractions 3166/448,4301/360 is 1/20160
Least Common Multiple of 448,360 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 448,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,360) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(448,360) x common factors =8 x 1 = 8
LCM(448,360) = ( 448 × 360 ) / 8
LCM(448,360) = 161280 / 8
LCM(448,360) = 20160
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FAQs on GCF of Fractions of 3166/448, 4301/360
1. What is the HCF of 3166,4301?
The HCF of 3166,4301 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 3166/448, 4301/360?
Answer: GCF of Numerators as per given numbers 3166/448, 4301/360 is
GCF of Numerators i.e. for 3166,4301 is 1
LCM of denominators i.e. for 448,360 is 20160.
Thus, GCF of Fractions is 1/20160.Finally, GCF of Fractions for 3166/448, 4301/360 is 1/20160.