GCF of 3255/292, 3037/1611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3255/292, 3037/1611 i.e 1/470412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3255/292, 3037/1611.
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 3255/292,3037/1611?
Given fractions are 3255/292,3037/1611
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 3255/292,3037/1611, numerators are 3255,3037
Denominators are 292,1611
The GCF of 3255,3037 is 1 .
LCM of 292,1611 is 470412.
The greatest common factor of 3255/292,3037/1611 = [GCF of 3255,3037]/[LCM of 292,1611]= 1/470412
Therefore, the GCF of 3255/292,3037/1611 is 1/470412.
To find the highest common factor of 3255,3037, we have to find the factors of both numbers and list the highest common factor.
The factors of 3255 are 1, 3, 5, 7, 15, 21, 31, 35, 93, 105, 155, 217, 465, 651, 1085, 3255
The factors of 3037 are 1, 3037
The HCF of 3255,3037 is 1.
Lets's calculate GCF of 3255,3037
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3255,3037 By Matching Biggest Common Factor Method
Now, list down the factors of 3255
:1,3,5,7,15,21,31,35,93,105,155,217,465,651,1085,3255
Now, list down the factors of 3037
:1,3037
Greatest Common Factor
We found the factors 3255,3037 . The biggest common factor number is the GCF number.
So the greatest common factor 3255,3037 is 1.
Lets's calculate LCM of 292,1611
Given numbers has no common factors except 1. So, there LCM is their product i.e 470412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/470412
Therefore, the GCF of Fractions 3255/292,3037/1611 is 1/470412
Least Common Multiple of 292,1611 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 292,1611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,1611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,1611) x common factors =1 x 1 = 1
LCM(292,1611) = ( 292 × 1611 ) / 1
LCM(292,1611) = 470412 / 1
LCM(292,1611) = 470412
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FAQs on GCF of Fractions of 3255/292, 3037/1611
1. What is the HCF of 3255,3037?
The HCF of 3255,3037 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 3255/292, 3037/1611?
Answer: GCF of Numerators as per given numbers 3255/292, 3037/1611 is
GCF of Numerators i.e. for 3255,3037 is 1
LCM of denominators i.e. for 292,1611 is 470412.
Thus, GCF of Fractions is 1/470412.Finally, GCF of Fractions for 3255/292, 3037/1611 is 1/470412.