GCF of 1198/739, 2187/116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1198/739, 2187/116 i.e 1/85724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1198/739, 2187/116.
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 1198/739,2187/116?
Given fractions are 1198/739,2187/116
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 1198/739,2187/116, numerators are 1198,2187
Denominators are 739,116
The GCF of 1198,2187 is 1 .
LCM of 739,116 is 85724.
The greatest common factor of 1198/739,2187/116 = [GCF of 1198,2187]/[LCM of 739,116]= 1/85724
Therefore, the GCF of 1198/739,2187/116 is 1/85724.
To find the highest common factor of 1198,2187, we have to find the factors of both numbers and list the highest common factor.
The factors of 1198 are 1, 2, 599, 1198
The factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187
The HCF of 1198,2187 is 1.
Lets's calculate GCF of 1198,2187
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1198,2187 By Matching Biggest Common Factor Method
Now, list down the factors of 1198
:1,2,599,1198
Now, list down the factors of 2187
:1,3,9,27,81,243,729,2187
Greatest Common Factor
We found the factors 1198,2187 . The biggest common factor number is the GCF number.
So the greatest common factor 1198,2187 is 1.
Lets's calculate LCM of 739,116
Given numbers has no common factors except 1. So, there LCM is their product i.e 85724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85724
Therefore, the GCF of Fractions 1198/739,2187/116 is 1/85724
Least Common Multiple of 739,116 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 739,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,116) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,116) x common factors =1 x 1 = 1
LCM(739,116) = ( 739 × 116 ) / 1
LCM(739,116) = 85724 / 1
LCM(739,116) = 85724
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FAQs on GCF of Fractions of 1198/739, 2187/116
1. What is the HCF of 1198,2187?
The HCF of 1198,2187 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 1198/739, 2187/116?
Answer: GCF of Numerators as per given numbers 1198/739, 2187/116 is
GCF of Numerators i.e. for 1198,2187 is 1
LCM of denominators i.e. for 739,116 is 85724.
Thus, GCF of Fractions is 1/85724.Finally, GCF of Fractions for 1198/739, 2187/116 is 1/85724.