GCF of 9388/296, 4212/7660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9388/296, 4212/7660 i.e 4/566840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9388/296, 4212/7660.
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 9388/296,4212/7660?
Given fractions are 9388/296,4212/7660
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 9388/296,4212/7660, numerators are 9388,4212
Denominators are 296,7660
The GCF of 9388,4212 is 4 .
LCM of 296,7660 is 566840.
The greatest common factor of 9388/296,4212/7660 = [GCF of 9388,4212]/[LCM of 296,7660]= 4/566840
Therefore, the GCF of 9388/296,4212/7660 is 4/566840.
To find the highest common factor of 9388,4212, we have to find the factors of both numbers and list the highest common factor.
The factors of 9388 are 1, 2, 4, 2347, 4694, 9388
The factors of 4212 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106, 4212
The HCF of 9388,4212 is 4.
Lets's calculate GCF of 9388,4212
| 2 | 9388, 4212 |
| 2 | 4694, 2106 |
| 2347, 1053 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9388,4212 By Matching Biggest Common Factor Method
Now, list down the factors of 9388
:1,2,4,2347,4694,9388
Now, list down the factors of 4212
:1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,81,108,117,156,162,234,324,351,468,702,1053,1404,2106,4212
Greatest Common Factor
We found the factors 9388,4212 . The biggest common factor number is the GCF number.
So the greatest common factor 9388,4212 is 4.
Lets's calculate LCM of 296,7660
| 2 | 296, 7660 |
| 2 | 148, 3830 |
| 74, 1915 |
∴ So the LCM of the given numbers is 2 x 2 x 74 x 1915 = 566840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/566840
Therefore, the GCF of Fractions 9388/296,4212/7660 is 4/566840
Least Common Multiple of 296,7660 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 296,7660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,7660) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(296,7660) x common factors =4 x 1 = 4
LCM(296,7660) = ( 296 × 7660 ) / 4
LCM(296,7660) = 2267360 / 4
LCM(296,7660) = 566840
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FAQs on GCF of Fractions of 9388/296, 4212/7660
1. What is the HCF of 9388,4212?
The HCF of 9388,4212 is 4
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 9388/296, 4212/7660?
Answer: GCF of Numerators as per given numbers 9388/296, 4212/7660 is
GCF of Numerators i.e. for 9388,4212 is 4
LCM of denominators i.e. for 296,7660 is 566840.
Thus, GCF of Fractions is 4/566840.Finally, GCF of Fractions for 9388/296, 4212/7660 is 4/566840.