Use our free GCF of Fractions Calculator tool to compute the GCF of 220/356, 413/712 i.e 1/712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/356, 413/712.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 220/356,413/712
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 220/356,413/712, numerators are 220,413
Denominators are 356,712
The GCF of 220,413 is 1 .
LCM of 356,712 is 712.
The greatest common factor of 220/356,413/712 = [GCF of 220,413]/[LCM of 356,712]= 1/712
Therefore, the GCF of 220/356,413/712 is 1/712.
To find the highest common factor of 220,413, we have to find the factors of both numbers and list the highest common factor.
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 413 are 1, 7, 59, 413
The HCF of 220,413 is 1.
Lets's calculate GCF of 220,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 413
:1,7,59,413
Greatest Common Factor
We found the factors 220,413 . The biggest common factor number is the GCF number.
So the greatest common factor 220,413 is 1.
Lets's calculate LCM of 356,712
2 | 356, 712 |
2 | 178, 356 |
89 | 89, 178 |
1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 89 x 1 x 2 = 712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/712
Therefore, the GCF of Fractions 220/356,413/712 is 1/712
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 356,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,712) = 356
common factors(in case of two or more numbers have common factors) = 1
GCF(356,712) x common factors =356 x 1 = 356
LCM(356,712) = ( 356 × 712 ) / 356
LCM(356,712) = 253472 / 356
LCM(356,712) = 712
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 220,413?
The HCF of 220,413 is 1
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 220/356, 413/712?
Answer: GCF of Numerators as per given numbers 220/356, 413/712 is
GCF of Numerators i.e. for 220,413 is 1
LCM of denominators i.e. for 356,712 is 712.
Thus, GCF of Fractions is 1/712.Finally, GCF of Fractions for 220/356, 413/712 is 1/712.