GCF of 6135/361, 6869/2876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6135/361, 6869/2876 i.e 1/1038236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6135/361, 6869/2876.
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 6135/361,6869/2876?
Given fractions are 6135/361,6869/2876
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 6135/361,6869/2876, numerators are 6135,6869
Denominators are 361,2876
The GCF of 6135,6869 is 1 .
LCM of 361,2876 is 1038236.
The greatest common factor of 6135/361,6869/2876 = [GCF of 6135,6869]/[LCM of 361,2876]= 1/1038236
Therefore, the GCF of 6135/361,6869/2876 is 1/1038236.
To find the highest common factor of 6135,6869, we have to find the factors of both numbers and list the highest common factor.
The factors of 6135 are 1, 3, 5, 15, 409, 1227, 2045, 6135
The factors of 6869 are 1, 6869
The HCF of 6135,6869 is 1.
Lets's calculate GCF of 6135,6869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6135,6869 By Matching Biggest Common Factor Method
Now, list down the factors of 6135
:1,3,5,15,409,1227,2045,6135
Now, list down the factors of 6869
:1,6869
Greatest Common Factor
We found the factors 6135,6869 . The biggest common factor number is the GCF number.
So the greatest common factor 6135,6869 is 1.
Lets's calculate LCM of 361,2876
Given numbers has no common factors except 1. So, there LCM is their product i.e 1038236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1038236
Therefore, the GCF of Fractions 6135/361,6869/2876 is 1/1038236
Least Common Multiple of 361,2876 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 361,2876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,2876) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,2876) x common factors =1 x 1 = 1
LCM(361,2876) = ( 361 × 2876 ) / 1
LCM(361,2876) = 1038236 / 1
LCM(361,2876) = 1038236
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FAQs on GCF of Fractions of 6135/361, 6869/2876
1. What is the HCF of 6135,6869?
The HCF of 6135,6869 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 6135/361, 6869/2876?
Answer: GCF of Numerators as per given numbers 6135/361, 6869/2876 is
GCF of Numerators i.e. for 6135,6869 is 1
LCM of denominators i.e. for 361,2876 is 1038236.
Thus, GCF of Fractions is 1/1038236.Finally, GCF of Fractions for 6135/361, 6869/2876 is 1/1038236.