GCF of 8328/263, 7238/6614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8328/263, 7238/6614 i.e 2/1739482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8328/263, 7238/6614.
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 8328/263,7238/6614?
Given fractions are 8328/263,7238/6614
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 8328/263,7238/6614, numerators are 8328,7238
Denominators are 263,6614
The GCF of 8328,7238 is 2 .
LCM of 263,6614 is 1739482.
The greatest common factor of 8328/263,7238/6614 = [GCF of 8328,7238]/[LCM of 263,6614]= 2/1739482
Therefore, the GCF of 8328/263,7238/6614 is 2/1739482.
To find the highest common factor of 8328,7238, we have to find the factors of both numbers and list the highest common factor.
The factors of 8328 are 1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328
The factors of 7238 are 1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619, 7238
The HCF of 8328,7238 is 2.
Lets's calculate GCF of 8328,7238
| 2 | 8328, 7238 |
| 4164, 3619 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8328,7238 By Matching Biggest Common Factor Method
Now, list down the factors of 8328
:1,2,3,4,6,8,12,24,347,694,1041,1388,2082,2776,4164,8328
Now, list down the factors of 7238
:1,2,7,11,14,22,47,77,94,154,329,517,658,1034,3619,7238
Greatest Common Factor
We found the factors 8328,7238 . The biggest common factor number is the GCF number.
So the greatest common factor 8328,7238 is 2.
Lets's calculate LCM of 263,6614
Given numbers has no common factors except 1. So, there LCM is their product i.e 1739482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1739482
Therefore, the GCF of Fractions 8328/263,7238/6614 is 2/1739482
Least Common Multiple of 263,6614 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 263,6614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,6614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,6614) x common factors =1 x 1 = 1
LCM(263,6614) = ( 263 × 6614 ) / 1
LCM(263,6614) = 1739482 / 1
LCM(263,6614) = 1739482
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FAQs on GCF of Fractions of 8328/263, 7238/6614
1. What is the HCF of 8328,7238?
The HCF of 8328,7238 is 2
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 8328/263, 7238/6614?
Answer: GCF of Numerators as per given numbers 8328/263, 7238/6614 is
GCF of Numerators i.e. for 8328,7238 is 2
LCM of denominators i.e. for 263,6614 is 1739482.
Thus, GCF of Fractions is 2/1739482.Finally, GCF of Fractions for 8328/263, 7238/6614 is 2/1739482.