Use our free GCF of Fractions Calculator tool to compute the GCF of 174/250, 740/507 i.e 2/126750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 174/250, 740/507.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 174/250,740/507
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 174/250,740/507, numerators are 174,740
Denominators are 250,507
The GCF of 174,740 is 2 .
LCM of 250,507 is 126750.
The greatest common factor of 174/250,740/507 = [GCF of 174,740]/[LCM of 250,507]= 2/126750
Therefore, the GCF of 174/250,740/507 is 2/126750.
To find the highest common factor of 174,740, we have to find the factors of both numbers and list the highest common factor.
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The HCF of 174,740 is 2.
Lets's calculate GCF of 174,740
2 | 174, 740 |
87, 370 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 174
:1,2,3,6,29,58,87,174
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 174,740 . The biggest common factor number is the GCF number.
So the greatest common factor 174,740 is 2.
Lets's calculate LCM of 250,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 126750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/126750
Therefore, the GCF of Fractions 174/250,740/507 is 2/126750
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 250,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,507) x common factors =1 x 1 = 1
LCM(250,507) = ( 250 × 507 ) / 1
LCM(250,507) = 126750 / 1
LCM(250,507) = 126750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 174,740?
The HCF of 174,740 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 174/250, 740/507?
Answer: GCF of Numerators as per given numbers 174/250, 740/507 is
GCF of Numerators i.e. for 174,740 is 2
LCM of denominators i.e. for 250,507 is 126750.
Thus, GCF of Fractions is 2/126750.Finally, GCF of Fractions for 174/250, 740/507 is 2/126750.