GCF of 46/335, 470/379, 309/803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 46/335, 470/379, 309/803 i.e 1/101952895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/335, 470/379, 309/803.
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 46/335,470/379,309/803?
Given fractions are 46/335,470/379,309/803
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 46/335,470/379,309/803, numerators are 46,470,309
Denominators are 335,379,803
The GCF of 46,470,309 is 1 .
LCM of 335,379,803 is 101952895.
The greatest common factor of 46/335,470/379,309/803 = [GCF of 46,470,309]/[LCM of 335,379,803]= 1/101952895
Therefore, the GCF of 46/335,470/379,309/803 is 1/101952895.
To find the highest common factor of 46,470,309, we have to find the factors of both numbers and list the highest common factor.
The factors of 46 are 1, 2, 23, 46
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The factors of 309 are 1, 3, 103, 309
The HCF of 46,470,309 is 1.
Lets's calculate GCF of 46,470,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 46,470,309 By Matching Biggest Common Factor Method
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Now, list down the factors of 309
:1,3,103,309
Greatest Common Factor
We found the factors 46,470,309 . The biggest common factor number is the GCF number.
So the greatest common factor 46,470,309 is 1.
Lets's calculate LCM of 335,379,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 101952895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101952895
Therefore, the GCF of Fractions 46/335,470/379,309/803 is 1/101952895
Least Common Multiple of 335,379,803 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 335,379,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,379,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,379,803) x common factors =1 x 1 = 1
LCM(335,379,803) = ( 335 × 379 × 803 ) / 1
LCM(335,379,803) = 101952895 / 1
LCM(335,379,803) = 101952895
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FAQs on GCF of Fractions of 46/335, 470/379, 309/803
1. What is the HCF of 46,470,309?
The HCF of 46,470,309 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 46/335, 470/379, 309/803?
Answer: GCF of Numerators as per given numbers 46/335, 470/379, 309/803 is
GCF of Numerators i.e. for 46,470,309 is 1
LCM of denominators i.e. for 335,379,803 is 101952895.
Thus, GCF of Fractions is 1/101952895.Finally, GCF of Fractions for 46/335, 470/379, 309/803 is 1/101952895.