GCF of 9673/148, 6882/1363
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9673/148, 6882/1363 i.e 1/201724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9673/148, 6882/1363.
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 9673/148,6882/1363?
Given fractions are 9673/148,6882/1363
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 9673/148,6882/1363, numerators are 9673,6882
Denominators are 148,1363
The GCF of 9673,6882 is 1 .
LCM of 148,1363 is 201724.
The greatest common factor of 9673/148,6882/1363 = [GCF of 9673,6882]/[LCM of 148,1363]= 1/201724
Therefore, the GCF of 9673/148,6882/1363 is 1/201724.
To find the highest common factor of 9673,6882, we have to find the factors of both numbers and list the highest common factor.
The factors of 9673 are 1, 17, 569, 9673
The factors of 6882 are 1, 2, 3, 6, 31, 37, 62, 74, 93, 111, 186, 222, 1147, 2294, 3441, 6882
The HCF of 9673,6882 is 1.
Lets's calculate GCF of 9673,6882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9673,6882 By Matching Biggest Common Factor Method
Now, list down the factors of 9673
:1,17,569,9673
Now, list down the factors of 6882
:1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882
Greatest Common Factor
We found the factors 9673,6882 . The biggest common factor number is the GCF number.
So the greatest common factor 9673,6882 is 1.
Lets's calculate LCM of 148,1363
Given numbers has no common factors except 1. So, there LCM is their product i.e 201724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201724
Therefore, the GCF of Fractions 9673/148,6882/1363 is 1/201724
Least Common Multiple of 148,1363 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 148,1363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,1363) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(148,1363) x common factors =1 x 1 = 1
LCM(148,1363) = ( 148 × 1363 ) / 1
LCM(148,1363) = 201724 / 1
LCM(148,1363) = 201724
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FAQs on GCF of Fractions of 9673/148, 6882/1363
1. What is the HCF of 9673,6882?
The HCF of 9673,6882 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 9673/148, 6882/1363?
Answer: GCF of Numerators as per given numbers 9673/148, 6882/1363 is
GCF of Numerators i.e. for 9673,6882 is 1
LCM of denominators i.e. for 148,1363 is 201724.
Thus, GCF of Fractions is 1/201724.Finally, GCF of Fractions for 9673/148, 6882/1363 is 1/201724.