Use our free GCF of Fractions Calculator tool to compute the GCF of 6932/563, 8392/430 i.e 4/242090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6932/563, 8392/430.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6932/563,8392/430
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 6932/563,8392/430, numerators are 6932,8392
Denominators are 563,430
The GCF of 6932,8392 is 4 .
LCM of 563,430 is 242090.
The greatest common factor of 6932/563,8392/430 = [GCF of 6932,8392]/[LCM of 563,430]= 4/242090
Therefore, the GCF of 6932/563,8392/430 is 4/242090.
To find the highest common factor of 6932,8392, we have to find the factors of both numbers and list the highest common factor.
The factors of 6932 are 1, 2, 4, 1733, 3466, 6932
The factors of 8392 are 1, 2, 4, 8, 1049, 2098, 4196, 8392
The HCF of 6932,8392 is 4.
Lets's calculate GCF of 6932,8392
2 | 6932, 8392 |
2 | 3466, 4196 |
1733, 2098 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 6932
:1,2,4,1733,3466,6932
Now, list down the factors of 8392
:1,2,4,8,1049,2098,4196,8392
Greatest Common Factor
We found the factors 6932,8392 . The biggest common factor number is the GCF number.
So the greatest common factor 6932,8392 is 4.
Lets's calculate LCM of 563,430
Given numbers has no common factors except 1. So, there LCM is their product i.e 242090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/242090
Therefore, the GCF of Fractions 6932/563,8392/430 is 4/242090
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 563,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,430) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,430) x common factors =1 x 1 = 1
LCM(563,430) = ( 563 × 430 ) / 1
LCM(563,430) = 242090 / 1
LCM(563,430) = 242090
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6932,8392?
The HCF of 6932,8392 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 6932/563, 8392/430?
Answer: GCF of Numerators as per given numbers 6932/563, 8392/430 is
GCF of Numerators i.e. for 6932,8392 is 4
LCM of denominators i.e. for 563,430 is 242090.
Thus, GCF of Fractions is 4/242090.Finally, GCF of Fractions for 6932/563, 8392/430 is 4/242090.