GCF of 6231/768, 8379/5980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6231/768, 8379/5980 i.e 3/1148160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6231/768, 8379/5980.
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 6231/768,8379/5980?
Given fractions are 6231/768,8379/5980
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 6231/768,8379/5980, numerators are 6231,8379
Denominators are 768,5980
The GCF of 6231,8379 is 3 .
LCM of 768,5980 is 1148160.
The greatest common factor of 6231/768,8379/5980 = [GCF of 6231,8379]/[LCM of 768,5980]= 3/1148160
Therefore, the GCF of 6231/768,8379/5980 is 3/1148160.
To find the highest common factor of 6231,8379, we have to find the factors of both numbers and list the highest common factor.
The factors of 6231 are 1, 3, 31, 67, 93, 201, 2077, 6231
The factors of 8379 are 1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379
The HCF of 6231,8379 is 3.
Lets's calculate GCF of 6231,8379
| 3 | 6231, 8379 |
| 2077, 2793 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6231,8379 By Matching Biggest Common Factor Method
Now, list down the factors of 6231
:1,3,31,67,93,201,2077,6231
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
Greatest Common Factor
We found the factors 6231,8379 . The biggest common factor number is the GCF number.
So the greatest common factor 6231,8379 is 3.
Lets's calculate LCM of 768,5980
| 2 | 768, 5980 |
| 2 | 384, 2990 |
| 192, 1495 |
∴ So the LCM of the given numbers is 2 x 2 x 192 x 1495 = 1148160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1148160
Therefore, the GCF of Fractions 6231/768,8379/5980 is 3/1148160
Least Common Multiple of 768,5980 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 768,5980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,5980) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(768,5980) x common factors =4 x 1 = 4
LCM(768,5980) = ( 768 × 5980 ) / 4
LCM(768,5980) = 4592640 / 4
LCM(768,5980) = 1148160
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FAQs on GCF of Fractions of 6231/768, 8379/5980
1. What is the HCF of 6231,8379?
The HCF of 6231,8379 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 6231/768, 8379/5980?
Answer: GCF of Numerators as per given numbers 6231/768, 8379/5980 is
GCF of Numerators i.e. for 6231,8379 is 3
LCM of denominators i.e. for 768,5980 is 1148160.
Thus, GCF of Fractions is 3/1148160.Finally, GCF of Fractions for 6231/768, 8379/5980 is 3/1148160.