Use our free GCF of Fractions Calculator tool to compute the GCF of 252/210, 740/473 i.e 4/99330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 252/210, 740/473.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 252/210,740/473
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 252/210,740/473, numerators are 252,740
Denominators are 210,473
The GCF of 252,740 is 4 .
LCM of 210,473 is 99330.
The greatest common factor of 252/210,740/473 = [GCF of 252,740]/[LCM of 210,473]= 4/99330
Therefore, the GCF of 252/210,740/473 is 4/99330.
To find the highest common factor of 252,740, we have to find the factors of both numbers and list the highest common factor.
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The HCF of 252,740 is 4.
Lets's calculate GCF of 252,740
2 | 252, 740 |
2 | 126, 370 |
63, 185 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 252
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 252,740 . The biggest common factor number is the GCF number.
So the greatest common factor 252,740 is 4.
Lets's calculate LCM of 210,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 99330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/99330
Therefore, the GCF of Fractions 252/210,740/473 is 4/99330
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 210,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(210,473) x common factors =1 x 1 = 1
LCM(210,473) = ( 210 × 473 ) / 1
LCM(210,473) = 99330 / 1
LCM(210,473) = 99330
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 252,740?
The HCF of 252,740 is 4
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 252/210, 740/473?
Answer: GCF of Numerators as per given numbers 252/210, 740/473 is
GCF of Numerators i.e. for 252,740 is 4
LCM of denominators i.e. for 210,473 is 99330.
Thus, GCF of Fractions is 4/99330.Finally, GCF of Fractions for 252/210, 740/473 is 4/99330.