GCF of 1196/388, 6659/8971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1196/388, 6659/8971 i.e 1/3480748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1196/388, 6659/8971.
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 1196/388,6659/8971?
Given fractions are 1196/388,6659/8971
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 1196/388,6659/8971, numerators are 1196,6659
Denominators are 388,8971
The GCF of 1196,6659 is 1 .
LCM of 388,8971 is 3480748.
The greatest common factor of 1196/388,6659/8971 = [GCF of 1196,6659]/[LCM of 388,8971]= 1/3480748
Therefore, the GCF of 1196/388,6659/8971 is 1/3480748.
To find the highest common factor of 1196,6659, we have to find the factors of both numbers and list the highest common factor.
The factors of 1196 are 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196
The factors of 6659 are 1, 6659
The HCF of 1196,6659 is 1.
Lets's calculate GCF of 1196,6659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1196,6659 By Matching Biggest Common Factor Method
Now, list down the factors of 1196
:1,2,4,13,23,26,46,52,92,299,598,1196
Now, list down the factors of 6659
:1,6659
Greatest Common Factor
We found the factors 1196,6659 . The biggest common factor number is the GCF number.
So the greatest common factor 1196,6659 is 1.
Lets's calculate LCM of 388,8971
Given numbers has no common factors except 1. So, there LCM is their product i.e 3480748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3480748
Therefore, the GCF of Fractions 1196/388,6659/8971 is 1/3480748
Least Common Multiple of 388,8971 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 388,8971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,8971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(388,8971) x common factors =1 x 1 = 1
LCM(388,8971) = ( 388 × 8971 ) / 1
LCM(388,8971) = 3480748 / 1
LCM(388,8971) = 3480748
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FAQs on GCF of Fractions of 1196/388, 6659/8971
1. What is the HCF of 1196,6659?
The HCF of 1196,6659 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 1196/388, 6659/8971?
Answer: GCF of Numerators as per given numbers 1196/388, 6659/8971 is
GCF of Numerators i.e. for 1196,6659 is 1
LCM of denominators i.e. for 388,8971 is 3480748.
Thus, GCF of Fractions is 1/3480748.Finally, GCF of Fractions for 1196/388, 6659/8971 is 1/3480748.