Use our free GCF of Fractions Calculator tool to compute the GCF of 430/921, 224/362 i.e 2/333402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/921, 224/362.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 430/921,224/362
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 430/921,224/362, numerators are 430,224
Denominators are 921,362
The GCF of 430,224 is 2 .
LCM of 921,362 is 333402.
The greatest common factor of 430/921,224/362 = [GCF of 430,224]/[LCM of 921,362]= 2/333402
Therefore, the GCF of 430/921,224/362 is 2/333402.
To find the highest common factor of 430,224, we have to find the factors of both numbers and list the highest common factor.
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The HCF of 430,224 is 2.
Lets's calculate GCF of 430,224
2 | 430, 224 |
215, 112 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Now, list down the factors of 224
:1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 430,224 . The biggest common factor number is the GCF number.
So the greatest common factor 430,224 is 2.
Lets's calculate LCM of 921,362
Given numbers has no common factors except 1. So, there LCM is their product i.e 333402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/333402
Therefore, the GCF of Fractions 430/921,224/362 is 2/333402
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 921,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,362) x common factors =1 x 1 = 1
LCM(921,362) = ( 921 × 362 ) / 1
LCM(921,362) = 333402 / 1
LCM(921,362) = 333402
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 430,224?
The HCF of 430,224 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 430/921, 224/362?
Answer: GCF of Numerators as per given numbers 430/921, 224/362 is
GCF of Numerators i.e. for 430,224 is 2
LCM of denominators i.e. for 921,362 is 333402.
Thus, GCF of Fractions is 2/333402.Finally, GCF of Fractions for 430/921, 224/362 is 2/333402.