GCF of 7257/978, 1149/7068
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7257/978, 1149/7068 i.e 3/1152084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7257/978, 1149/7068.
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 7257/978,1149/7068?
Given fractions are 7257/978,1149/7068
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 7257/978,1149/7068, numerators are 7257,1149
Denominators are 978,7068
The GCF of 7257,1149 is 3 .
LCM of 978,7068 is 1152084.
The greatest common factor of 7257/978,1149/7068 = [GCF of 7257,1149]/[LCM of 978,7068]= 3/1152084
Therefore, the GCF of 7257/978,1149/7068 is 3/1152084.
To find the highest common factor of 7257,1149, we have to find the factors of both numbers and list the highest common factor.
The factors of 7257 are 1, 3, 41, 59, 123, 177, 2419, 7257
The factors of 1149 are 1, 3, 383, 1149
The HCF of 7257,1149 is 3.
Lets's calculate GCF of 7257,1149
| 3 | 7257, 1149 |
| 2419, 383 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7257,1149 By Matching Biggest Common Factor Method
Now, list down the factors of 7257
:1,3,41,59,123,177,2419,7257
Now, list down the factors of 1149
:1,3,383,1149
Greatest Common Factor
We found the factors 7257,1149 . The biggest common factor number is the GCF number.
So the greatest common factor 7257,1149 is 3.
Lets's calculate LCM of 978,7068
| 2 | 978, 7068 |
| 3 | 489, 3534 |
| 163, 1178 |
∴ So the LCM of the given numbers is 2 x 3 x 163 x 1178 = 1152084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1152084
Therefore, the GCF of Fractions 7257/978,1149/7068 is 3/1152084
Least Common Multiple of 978,7068 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 978,7068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,7068) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(978,7068) x common factors =6 x 1 = 6
LCM(978,7068) = ( 978 × 7068 ) / 6
LCM(978,7068) = 6912504 / 6
LCM(978,7068) = 1152084
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7257/978, 1149/7068
1. What is the HCF of 7257,1149?
The HCF of 7257,1149 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 7257/978, 1149/7068?
Answer: GCF of Numerators as per given numbers 7257/978, 1149/7068 is
GCF of Numerators i.e. for 7257,1149 is 3
LCM of denominators i.e. for 978,7068 is 1152084.
Thus, GCF of Fractions is 3/1152084.Finally, GCF of Fractions for 7257/978, 1149/7068 is 3/1152084.