GCF of 3116/442, 7215/5731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3116/442, 7215/5731 i.e 1/2533102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3116/442, 7215/5731.
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 3116/442,7215/5731?
Given fractions are 3116/442,7215/5731
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 3116/442,7215/5731, numerators are 3116,7215
Denominators are 442,5731
The GCF of 3116,7215 is 1 .
LCM of 442,5731 is 2533102.
The greatest common factor of 3116/442,7215/5731 = [GCF of 3116,7215]/[LCM of 442,5731]= 1/2533102
Therefore, the GCF of 3116/442,7215/5731 is 1/2533102.
To find the highest common factor of 3116,7215, we have to find the factors of both numbers and list the highest common factor.
The factors of 3116 are 1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558, 3116
The factors of 7215 are 1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215
The HCF of 3116,7215 is 1.
Lets's calculate GCF of 3116,7215
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3116,7215 By Matching Biggest Common Factor Method
Now, list down the factors of 3116
:1,2,4,19,38,41,76,82,164,779,1558,3116
Now, list down the factors of 7215
:1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215
Greatest Common Factor
We found the factors 3116,7215 . The biggest common factor number is the GCF number.
So the greatest common factor 3116,7215 is 1.
Lets's calculate LCM of 442,5731
Given numbers has no common factors except 1. So, there LCM is their product i.e 2533102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2533102
Therefore, the GCF of Fractions 3116/442,7215/5731 is 1/2533102
Least Common Multiple of 442,5731 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 442,5731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,5731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(442,5731) x common factors =1 x 1 = 1
LCM(442,5731) = ( 442 × 5731 ) / 1
LCM(442,5731) = 2533102 / 1
LCM(442,5731) = 2533102
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FAQs on GCF of Fractions of 3116/442, 7215/5731
1. What is the HCF of 3116,7215?
The HCF of 3116,7215 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 3116/442, 7215/5731?
Answer: GCF of Numerators as per given numbers 3116/442, 7215/5731 is
GCF of Numerators i.e. for 3116,7215 is 1
LCM of denominators i.e. for 442,5731 is 2533102.
Thus, GCF of Fractions is 1/2533102.Finally, GCF of Fractions for 3116/442, 7215/5731 is 1/2533102.