Use our free GCF of Fractions Calculator tool to compute the GCF of 427/342, 427/862 i.e 427/147402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 427/342, 427/862.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 427/342,427/862
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 427/342,427/862, numerators are 427,427
Denominators are 342,862
The GCF of 427,427 is 427 .
LCM of 342,862 is 147402.
The greatest common factor of 427/342,427/862 = [GCF of 427,427]/[LCM of 342,862]= 427/147402
Therefore, the GCF of 427/342,427/862 is 427/147402.
To find the highest common factor of 427,427, we have to find the factors of both numbers and list the highest common factor.
The factors of 427 are 1, 7, 61, 427
The factors of 427 are 1, 7, 61, 427
The HCF of 427,427 is 427.
Lets's calculate GCF of 427,427
7 | 427, 427 |
61 | 61, 61 |
1, 1 |
∴ So the GCF of the given numbers is 7 x 61 = 427
Now, list down the factors of 427
:1,7,61,427
Now, list down the factors of 427
:1,7,61,427
Greatest Common Factor
We found the factors 427,427 . The biggest common factor number is the GCF number.
So the greatest common factor 427,427 is 427.
Lets's calculate LCM of 342,862
2 | 342, 862 |
171, 431 |
∴ So the LCM of the given numbers is 2 x 171 x 431 = 147402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 427/147402
Therefore, the GCF of Fractions 427/342,427/862 is 427/147402
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 342,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,862) x common factors =2 x 1 = 2
LCM(342,862) = ( 342 × 862 ) / 2
LCM(342,862) = 294804 / 2
LCM(342,862) = 147402
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 427,427?
The HCF of 427,427 is 427
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 427/342, 427/862?
Answer: GCF of Numerators as per given numbers 427/342, 427/862 is
GCF of Numerators i.e. for 427,427 is 427
LCM of denominators i.e. for 342,862 is 147402.
Thus, GCF of Fractions is 427/147402.Finally, GCF of Fractions for 427/342, 427/862 is 427/147402.