GCF of 7938/361, 8474/3024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7938/361, 8474/3024 i.e 2/1091664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7938/361, 8474/3024.
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 7938/361,8474/3024?
Given fractions are 7938/361,8474/3024
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 7938/361,8474/3024, numerators are 7938,8474
Denominators are 361,3024
The GCF of 7938,8474 is 2 .
LCM of 361,3024 is 1091664.
The greatest common factor of 7938/361,8474/3024 = [GCF of 7938,8474]/[LCM of 361,3024]= 2/1091664
Therefore, the GCF of 7938/361,8474/3024 is 2/1091664.
To find the highest common factor of 7938,8474, we have to find the factors of both numbers and list the highest common factor.
The factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938
The factors of 8474 are 1, 2, 19, 38, 223, 446, 4237, 8474
The HCF of 7938,8474 is 2.
Lets's calculate GCF of 7938,8474
| 2 | 7938, 8474 |
| 3969, 4237 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7938,8474 By Matching Biggest Common Factor Method
Now, list down the factors of 7938
:1,2,3,6,7,9,14,18,21,27,42,49,54,63,81,98,126,147,162,189,294,378,441,567,882,1134,1323,2646,3969,7938
Now, list down the factors of 8474
:1,2,19,38,223,446,4237,8474
Greatest Common Factor
We found the factors 7938,8474 . The biggest common factor number is the GCF number.
So the greatest common factor 7938,8474 is 2.
Lets's calculate LCM of 361,3024
Given numbers has no common factors except 1. So, there LCM is their product i.e 1091664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1091664
Therefore, the GCF of Fractions 7938/361,8474/3024 is 2/1091664
Least Common Multiple of 361,3024 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 361,3024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,3024) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,3024) x common factors =1 x 1 = 1
LCM(361,3024) = ( 361 × 3024 ) / 1
LCM(361,3024) = 1091664 / 1
LCM(361,3024) = 1091664
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FAQs on GCF of Fractions of 7938/361, 8474/3024
1. What is the HCF of 7938,8474?
The HCF of 7938,8474 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 7938/361, 8474/3024?
Answer: GCF of Numerators as per given numbers 7938/361, 8474/3024 is
GCF of Numerators i.e. for 7938,8474 is 2
LCM of denominators i.e. for 361,3024 is 1091664.
Thus, GCF of Fractions is 2/1091664.Finally, GCF of Fractions for 7938/361, 8474/3024 is 2/1091664.