GCF of 9184/696, 7941/197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9184/696, 7941/197 i.e 1/137112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9184/696, 7941/197.
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 9184/696,7941/197?
Given fractions are 9184/696,7941/197
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 9184/696,7941/197, numerators are 9184,7941
Denominators are 696,197
The GCF of 9184,7941 is 1 .
LCM of 696,197 is 137112.
The greatest common factor of 9184/696,7941/197 = [GCF of 9184,7941]/[LCM of 696,197]= 1/137112
Therefore, the GCF of 9184/696,7941/197 is 1/137112.
To find the highest common factor of 9184,7941, we have to find the factors of both numbers and list the highest common factor.
The factors of 9184 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 82, 112, 164, 224, 287, 328, 574, 656, 1148, 1312, 2296, 4592, 9184
The factors of 7941 are 1, 3, 2647, 7941
The HCF of 9184,7941 is 1.
Lets's calculate GCF of 9184,7941
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9184,7941 By Matching Biggest Common Factor Method
Now, list down the factors of 9184
:1,2,4,7,8,14,16,28,32,41,56,82,112,164,224,287,328,574,656,1148,1312,2296,4592,9184
Now, list down the factors of 7941
:1,3,2647,7941
Greatest Common Factor
We found the factors 9184,7941 . The biggest common factor number is the GCF number.
So the greatest common factor 9184,7941 is 1.
Lets's calculate LCM of 696,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 137112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137112
Therefore, the GCF of Fractions 9184/696,7941/197 is 1/137112
Least Common Multiple of 696,197 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 696,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(696,197) x common factors =1 x 1 = 1
LCM(696,197) = ( 696 × 197 ) / 1
LCM(696,197) = 137112 / 1
LCM(696,197) = 137112
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9184/696, 7941/197
1. What is the HCF of 9184,7941?
The HCF of 9184,7941 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 9184/696, 7941/197?
Answer: GCF of Numerators as per given numbers 9184/696, 7941/197 is
GCF of Numerators i.e. for 9184,7941 is 1
LCM of denominators i.e. for 696,197 is 137112.
Thus, GCF of Fractions is 1/137112.Finally, GCF of Fractions for 9184/696, 7941/197 is 1/137112.