GCF of 6236/975, 6543/1658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6236/975, 6543/1658 i.e 1/1616550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6236/975, 6543/1658.
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 6236/975,6543/1658?
Given fractions are 6236/975,6543/1658
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 6236/975,6543/1658, numerators are 6236,6543
Denominators are 975,1658
The GCF of 6236,6543 is 1 .
LCM of 975,1658 is 1616550.
The greatest common factor of 6236/975,6543/1658 = [GCF of 6236,6543]/[LCM of 975,1658]= 1/1616550
Therefore, the GCF of 6236/975,6543/1658 is 1/1616550.
To find the highest common factor of 6236,6543, we have to find the factors of both numbers and list the highest common factor.
The factors of 6236 are 1, 2, 4, 1559, 3118, 6236
The factors of 6543 are 1, 3, 9, 727, 2181, 6543
The HCF of 6236,6543 is 1.
Lets's calculate GCF of 6236,6543
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6236,6543 By Matching Biggest Common Factor Method
Now, list down the factors of 6236
:1,2,4,1559,3118,6236
Now, list down the factors of 6543
:1,3,9,727,2181,6543
Greatest Common Factor
We found the factors 6236,6543 . The biggest common factor number is the GCF number.
So the greatest common factor 6236,6543 is 1.
Lets's calculate LCM of 975,1658
Given numbers has no common factors except 1. So, there LCM is their product i.e 1616550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1616550
Therefore, the GCF of Fractions 6236/975,6543/1658 is 1/1616550
Least Common Multiple of 975,1658 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 975,1658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,1658) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(975,1658) x common factors =1 x 1 = 1
LCM(975,1658) = ( 975 × 1658 ) / 1
LCM(975,1658) = 1616550 / 1
LCM(975,1658) = 1616550
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FAQs on GCF of Fractions of 6236/975, 6543/1658
1. What is the HCF of 6236,6543?
The HCF of 6236,6543 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 6236/975, 6543/1658?
Answer: GCF of Numerators as per given numbers 6236/975, 6543/1658 is
GCF of Numerators i.e. for 6236,6543 is 1
LCM of denominators i.e. for 975,1658 is 1616550.
Thus, GCF of Fractions is 1/1616550.Finally, GCF of Fractions for 6236/975, 6543/1658 is 1/1616550.