Use our free GCF of Fractions Calculator tool to compute the GCF of 1179/966, 7248/2558 i.e 3/1235514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1179/966, 7248/2558.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1179/966,7248/2558
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 1179/966,7248/2558, numerators are 1179,7248
Denominators are 966,2558
The GCF of 1179,7248 is 3 .
LCM of 966,2558 is 1235514.
The greatest common factor of 1179/966,7248/2558 = [GCF of 1179,7248]/[LCM of 966,2558]= 3/1235514
Therefore, the GCF of 1179/966,7248/2558 is 3/1235514.
To find the highest common factor of 1179,7248, we have to find the factors of both numbers and list the highest common factor.
The factors of 1179 are 1, 3, 9, 131, 393, 1179
The factors of 7248 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 7248
The HCF of 1179,7248 is 3.
Lets's calculate GCF of 1179,7248
3 | 1179, 7248 |
393, 2416 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 1179
:1,3,9,131,393,1179
Now, list down the factors of 7248
:1,2,3,4,6,8,12,16,24,48,151,302,453,604,906,1208,1812,2416,3624,7248
Greatest Common Factor
We found the factors 1179,7248 . The biggest common factor number is the GCF number.
So the greatest common factor 1179,7248 is 3.
Lets's calculate LCM of 966,2558
2 | 966, 2558 |
483, 1279 |
∴ So the LCM of the given numbers is 2 x 483 x 1279 = 1235514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1235514
Therefore, the GCF of Fractions 1179/966,7248/2558 is 3/1235514
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 966,2558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,2558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(966,2558) x common factors =2 x 1 = 2
LCM(966,2558) = ( 966 × 2558 ) / 2
LCM(966,2558) = 2471028 / 2
LCM(966,2558) = 1235514
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1179,7248?
The HCF of 1179,7248 is 3
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 1179/966, 7248/2558?
Answer: GCF of Numerators as per given numbers 1179/966, 7248/2558 is
GCF of Numerators i.e. for 1179,7248 is 3
LCM of denominators i.e. for 966,2558 is 1235514.
Thus, GCF of Fractions is 3/1235514.Finally, GCF of Fractions for 1179/966, 7248/2558 is 3/1235514.