Use our free GCF of Fractions Calculator tool to compute the GCF of 6174/679, 8279/1183 i.e 1/114751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6174/679, 8279/1183.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6174/679,8279/1183
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 6174/679,8279/1183, numerators are 6174,8279
Denominators are 679,1183
The GCF of 6174,8279 is 1 .
LCM of 679,1183 is 114751.
The greatest common factor of 6174/679,8279/1183 = [GCF of 6174,8279]/[LCM of 679,1183]= 1/114751
Therefore, the GCF of 6174/679,8279/1183 is 1/114751.
To find the highest common factor of 6174,8279, we have to find the factors of both numbers and list the highest common factor.
The factors of 6174 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087, 6174
The factors of 8279 are 1, 17, 487, 8279
The HCF of 6174,8279 is 1.
Lets's calculate GCF of 6174,8279
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6174
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,343,441,686,882,1029,2058,3087,6174
Now, list down the factors of 8279
:1,17,487,8279
Greatest Common Factor
We found the factors 6174,8279 . The biggest common factor number is the GCF number.
So the greatest common factor 6174,8279 is 1.
Lets's calculate LCM of 679,1183
7 | 679, 1183 |
97, 169 |
∴ So the LCM of the given numbers is 7 x 97 x 169 = 114751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114751
Therefore, the GCF of Fractions 6174/679,8279/1183 is 1/114751
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 679,1183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,1183) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(679,1183) x common factors =7 x 1 = 7
LCM(679,1183) = ( 679 × 1183 ) / 7
LCM(679,1183) = 803257 / 7
LCM(679,1183) = 114751
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6174,8279?
The HCF of 6174,8279 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 6174/679, 8279/1183?
Answer: GCF of Numerators as per given numbers 6174/679, 8279/1183 is
GCF of Numerators i.e. for 6174,8279 is 1
LCM of denominators i.e. for 679,1183 is 114751.
Thus, GCF of Fractions is 1/114751.Finally, GCF of Fractions for 6174/679, 8279/1183 is 1/114751.