Use our free GCF of Fractions Calculator tool to compute the GCF of 1128/474, 4213/4035 i.e 1/637530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1128/474, 4213/4035.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1128/474,4213/4035
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 1128/474,4213/4035, numerators are 1128,4213
Denominators are 474,4035
The GCF of 1128,4213 is 1 .
LCM of 474,4035 is 637530.
The greatest common factor of 1128/474,4213/4035 = [GCF of 1128,4213]/[LCM of 474,4035]= 1/637530
Therefore, the GCF of 1128/474,4213/4035 is 1/637530.
To find the highest common factor of 1128,4213, we have to find the factors of both numbers and list the highest common factor.
The factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128
The factors of 4213 are 1, 11, 383, 4213
The HCF of 1128,4213 is 1.
Lets's calculate GCF of 1128,4213
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1128
:1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128
Now, list down the factors of 4213
:1,11,383,4213
Greatest Common Factor
We found the factors 1128,4213 . The biggest common factor number is the GCF number.
So the greatest common factor 1128,4213 is 1.
Lets's calculate LCM of 474,4035
3 | 474, 4035 |
158, 1345 |
∴ So the LCM of the given numbers is 3 x 158 x 1345 = 637530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637530
Therefore, the GCF of Fractions 1128/474,4213/4035 is 1/637530
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 474,4035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,4035) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(474,4035) x common factors =3 x 1 = 3
LCM(474,4035) = ( 474 × 4035 ) / 3
LCM(474,4035) = 1912590 / 3
LCM(474,4035) = 637530
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1128,4213?
The HCF of 1128,4213 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 1128/474, 4213/4035?
Answer: GCF of Numerators as per given numbers 1128/474, 4213/4035 is
GCF of Numerators i.e. for 1128,4213 is 1
LCM of denominators i.e. for 474,4035 is 637530.
Thus, GCF of Fractions is 1/637530.Finally, GCF of Fractions for 1128/474, 4213/4035 is 1/637530.