GCF of 8306/784, 3888/7050
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8306/784, 3888/7050 i.e 2/2763600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8306/784, 3888/7050.
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 8306/784,3888/7050?
Given fractions are 8306/784,3888/7050
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 8306/784,3888/7050, numerators are 8306,3888
Denominators are 784,7050
The GCF of 8306,3888 is 2 .
LCM of 784,7050 is 2763600.
The greatest common factor of 8306/784,3888/7050 = [GCF of 8306,3888]/[LCM of 784,7050]= 2/2763600
Therefore, the GCF of 8306/784,3888/7050 is 2/2763600.
To find the highest common factor of 8306,3888, we have to find the factors of both numbers and list the highest common factor.
The factors of 8306 are 1, 2, 4153, 8306
The factors of 3888 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944, 3888
The HCF of 8306,3888 is 2.
Lets's calculate GCF of 8306,3888
| 2 | 8306, 3888 |
| 4153, 1944 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8306,3888 By Matching Biggest Common Factor Method
Now, list down the factors of 8306
:1,2,4153,8306
Now, list down the factors of 3888
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,243,324,432,486,648,972,1296,1944,3888
Greatest Common Factor
We found the factors 8306,3888 . The biggest common factor number is the GCF number.
So the greatest common factor 8306,3888 is 2.
Lets's calculate LCM of 784,7050
| 2 | 784, 7050 |
| 392, 3525 |
∴ So the LCM of the given numbers is 2 x 392 x 3525 = 2763600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2763600
Therefore, the GCF of Fractions 8306/784,3888/7050 is 2/2763600
Least Common Multiple of 784,7050 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 784,7050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,7050) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(784,7050) x common factors =2 x 1 = 2
LCM(784,7050) = ( 784 × 7050 ) / 2
LCM(784,7050) = 5527200 / 2
LCM(784,7050) = 2763600
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FAQs on GCF of Fractions of 8306/784, 3888/7050
1. What is the HCF of 8306,3888?
The HCF of 8306,3888 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 8306/784, 3888/7050?
Answer: GCF of Numerators as per given numbers 8306/784, 3888/7050 is
GCF of Numerators i.e. for 8306,3888 is 2
LCM of denominators i.e. for 784,7050 is 2763600.
Thus, GCF of Fractions is 2/2763600.Finally, GCF of Fractions for 8306/784, 3888/7050 is 2/2763600.