Use our free GCF of Fractions Calculator tool to compute the GCF of 1478/210, 2902/2106 i.e 2/73710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1478/210, 2902/2106.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1478/210,2902/2106
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 1478/210,2902/2106, numerators are 1478,2902
Denominators are 210,2106
The GCF of 1478,2902 is 2 .
LCM of 210,2106 is 73710.
The greatest common factor of 1478/210,2902/2106 = [GCF of 1478,2902]/[LCM of 210,2106]= 2/73710
Therefore, the GCF of 1478/210,2902/2106 is 2/73710.
To find the highest common factor of 1478,2902, we have to find the factors of both numbers and list the highest common factor.
The factors of 1478 are 1, 2, 739, 1478
The factors of 2902 are 1, 2, 1451, 2902
The HCF of 1478,2902 is 2.
Lets's calculate GCF of 1478,2902
2 | 1478, 2902 |
739, 1451 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 1478
:1,2,739,1478
Now, list down the factors of 2902
:1,2,1451,2902
Greatest Common Factor
We found the factors 1478,2902 . The biggest common factor number is the GCF number.
So the greatest common factor 1478,2902 is 2.
Lets's calculate LCM of 210,2106
2 | 210, 2106 |
3 | 105, 1053 |
35, 351 |
∴ So the LCM of the given numbers is 2 x 3 x 35 x 351 = 73710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/73710
Therefore, the GCF of Fractions 1478/210,2902/2106 is 2/73710
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 210,2106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,2106) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(210,2106) x common factors =6 x 1 = 6
LCM(210,2106) = ( 210 × 2106 ) / 6
LCM(210,2106) = 442260 / 6
LCM(210,2106) = 73710
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1478,2902?
The HCF of 1478,2902 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 1478/210, 2902/2106?
Answer: GCF of Numerators as per given numbers 1478/210, 2902/2106 is
GCF of Numerators i.e. for 1478,2902 is 2
LCM of denominators i.e. for 210,2106 is 73710.
Thus, GCF of Fractions is 2/73710.Finally, GCF of Fractions for 1478/210, 2902/2106 is 2/73710.