GCF of 6127/709, 6828/9864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6127/709, 6828/9864 i.e 1/6993576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6127/709, 6828/9864.
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 6127/709,6828/9864?
Given fractions are 6127/709,6828/9864
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 6127/709,6828/9864, numerators are 6127,6828
Denominators are 709,9864
The GCF of 6127,6828 is 1 .
LCM of 709,9864 is 6993576.
The greatest common factor of 6127/709,6828/9864 = [GCF of 6127,6828]/[LCM of 709,9864]= 1/6993576
Therefore, the GCF of 6127/709,6828/9864 is 1/6993576.
To find the highest common factor of 6127,6828, we have to find the factors of both numbers and list the highest common factor.
The factors of 6127 are 1, 11, 557, 6127
The factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828
The HCF of 6127,6828 is 1.
Lets's calculate GCF of 6127,6828
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6127,6828 By Matching Biggest Common Factor Method
Now, list down the factors of 6127
:1,11,557,6127
Now, list down the factors of 6828
:1,2,3,4,6,12,569,1138,1707,2276,3414,6828
Greatest Common Factor
We found the factors 6127,6828 . The biggest common factor number is the GCF number.
So the greatest common factor 6127,6828 is 1.
Lets's calculate LCM of 709,9864
Given numbers has no common factors except 1. So, there LCM is their product i.e 6993576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6993576
Therefore, the GCF of Fractions 6127/709,6828/9864 is 1/6993576
Least Common Multiple of 709,9864 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 709,9864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,9864) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,9864) x common factors =1 x 1 = 1
LCM(709,9864) = ( 709 × 9864 ) / 1
LCM(709,9864) = 6993576 / 1
LCM(709,9864) = 6993576
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FAQs on GCF of Fractions of 6127/709, 6828/9864
1. What is the HCF of 6127,6828?
The HCF of 6127,6828 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 6127/709, 6828/9864?
Answer: GCF of Numerators as per given numbers 6127/709, 6828/9864 is
GCF of Numerators i.e. for 6127,6828 is 1
LCM of denominators i.e. for 709,9864 is 6993576.
Thus, GCF of Fractions is 1/6993576.Finally, GCF of Fractions for 6127/709, 6828/9864 is 1/6993576.