GCF of 8379/769, 2367/7556
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8379/769, 2367/7556 i.e 9/5810564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8379/769, 2367/7556.
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 8379/769,2367/7556?
Given fractions are 8379/769,2367/7556
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 8379/769,2367/7556, numerators are 8379,2367
Denominators are 769,7556
The GCF of 8379,2367 is 9 .
LCM of 769,7556 is 5810564.
The greatest common factor of 8379/769,2367/7556 = [GCF of 8379,2367]/[LCM of 769,7556]= 9/5810564
Therefore, the GCF of 8379/769,2367/7556 is 9/5810564.
To find the highest common factor of 8379,2367, we have to find the factors of both numbers and list the highest common factor.
The factors of 8379 are 1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379
The factors of 2367 are 1, 3, 9, 263, 789, 2367
The HCF of 8379,2367 is 9.
Lets's calculate GCF of 8379,2367
| 3 | 8379, 2367 |
| 3 | 2793, 789 |
| 931, 263 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8379,2367 By Matching Biggest Common Factor Method
Now, list down the factors of 8379
:1,3,7,9,19,21,49,57,63,133,147,171,399,441,931,1197,2793,8379
Now, list down the factors of 2367
:1,3,9,263,789,2367
Greatest Common Factor
We found the factors 8379,2367 . The biggest common factor number is the GCF number.
So the greatest common factor 8379,2367 is 9.
Lets's calculate LCM of 769,7556
Given numbers has no common factors except 1. So, there LCM is their product i.e 5810564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/5810564
Therefore, the GCF of Fractions 8379/769,2367/7556 is 9/5810564
Least Common Multiple of 769,7556 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 769,7556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,7556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,7556) x common factors =1 x 1 = 1
LCM(769,7556) = ( 769 × 7556 ) / 1
LCM(769,7556) = 5810564 / 1
LCM(769,7556) = 5810564
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FAQs on GCF of Fractions of 8379/769, 2367/7556
1. What is the HCF of 8379,2367?
The HCF of 8379,2367 is 9
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 8379/769, 2367/7556?
Answer: GCF of Numerators as per given numbers 8379/769, 2367/7556 is
GCF of Numerators i.e. for 8379,2367 is 9
LCM of denominators i.e. for 769,7556 is 5810564.
Thus, GCF of Fractions is 9/5810564.Finally, GCF of Fractions for 8379/769, 2367/7556 is 9/5810564.