GCF of 3141/187, 9619/4886
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3141/187, 9619/4886 i.e 1/913682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3141/187, 9619/4886.
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 3141/187,9619/4886?
Given fractions are 3141/187,9619/4886
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 3141/187,9619/4886, numerators are 3141,9619
Denominators are 187,4886
The GCF of 3141,9619 is 1 .
LCM of 187,4886 is 913682.
The greatest common factor of 3141/187,9619/4886 = [GCF of 3141,9619]/[LCM of 187,4886]= 1/913682
Therefore, the GCF of 3141/187,9619/4886 is 1/913682.
To find the highest common factor of 3141,9619, we have to find the factors of both numbers and list the highest common factor.
The factors of 3141 are 1, 3, 9, 349, 1047, 3141
The factors of 9619 are 1, 9619
The HCF of 3141,9619 is 1.
Lets's calculate GCF of 3141,9619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3141,9619 By Matching Biggest Common Factor Method
Now, list down the factors of 3141
:1,3,9,349,1047,3141
Now, list down the factors of 9619
:1,9619
Greatest Common Factor
We found the factors 3141,9619 . The biggest common factor number is the GCF number.
So the greatest common factor 3141,9619 is 1.
Lets's calculate LCM of 187,4886
Given numbers has no common factors except 1. So, there LCM is their product i.e 913682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/913682
Therefore, the GCF of Fractions 3141/187,9619/4886 is 1/913682
Least Common Multiple of 187,4886 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 187,4886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,4886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,4886) x common factors =1 x 1 = 1
LCM(187,4886) = ( 187 × 4886 ) / 1
LCM(187,4886) = 913682 / 1
LCM(187,4886) = 913682
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FAQs on GCF of Fractions of 3141/187, 9619/4886
1. What is the HCF of 3141,9619?
The HCF of 3141,9619 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 3141/187, 9619/4886?
Answer: GCF of Numerators as per given numbers 3141/187, 9619/4886 is
GCF of Numerators i.e. for 3141,9619 is 1
LCM of denominators i.e. for 187,4886 is 913682.
Thus, GCF of Fractions is 1/913682.Finally, GCF of Fractions for 3141/187, 9619/4886 is 1/913682.