GCF of 3367/978, 1267/9632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3367/978, 1267/9632 i.e 7/4710048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3367/978, 1267/9632.
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 3367/978,1267/9632?
Given fractions are 3367/978,1267/9632
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 3367/978,1267/9632, numerators are 3367,1267
Denominators are 978,9632
The GCF of 3367,1267 is 7 .
LCM of 978,9632 is 4710048.
The greatest common factor of 3367/978,1267/9632 = [GCF of 3367,1267]/[LCM of 978,9632]= 7/4710048
Therefore, the GCF of 3367/978,1267/9632 is 7/4710048.
To find the highest common factor of 3367,1267, we have to find the factors of both numbers and list the highest common factor.
The factors of 3367 are 1, 7, 13, 37, 91, 259, 481, 3367
The factors of 1267 are 1, 7, 181, 1267
The HCF of 3367,1267 is 7.
Lets's calculate GCF of 3367,1267
| 7 | 3367, 1267 |
| 481, 181 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3367,1267 By Matching Biggest Common Factor Method
Now, list down the factors of 3367
:1,7,13,37,91,259,481,3367
Now, list down the factors of 1267
:1,7,181,1267
Greatest Common Factor
We found the factors 3367,1267 . The biggest common factor number is the GCF number.
So the greatest common factor 3367,1267 is 7.
Lets's calculate LCM of 978,9632
| 2 | 978, 9632 |
| 489, 4816 |
∴ So the LCM of the given numbers is 2 x 489 x 4816 = 4710048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4710048
Therefore, the GCF of Fractions 3367/978,1267/9632 is 7/4710048
Least Common Multiple of 978,9632 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 978,9632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,9632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,9632) x common factors =2 x 1 = 2
LCM(978,9632) = ( 978 × 9632 ) / 2
LCM(978,9632) = 9420096 / 2
LCM(978,9632) = 4710048
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3367/978, 1267/9632
1. What is the HCF of 3367,1267?
The HCF of 3367,1267 is 7
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 3367/978, 1267/9632?
Answer: GCF of Numerators as per given numbers 3367/978, 1267/9632 is
GCF of Numerators i.e. for 3367,1267 is 7
LCM of denominators i.e. for 978,9632 is 4710048.
Thus, GCF of Fractions is 7/4710048.Finally, GCF of Fractions for 3367/978, 1267/9632 is 7/4710048.