Use our free GCF of Fractions Calculator tool to compute the GCF of 7490/587, 5950/3019 i.e 70/1772153 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7490/587, 5950/3019.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7490/587,5950/3019
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 7490/587,5950/3019, numerators are 7490,5950
Denominators are 587,3019
The GCF of 7490,5950 is 70 .
LCM of 587,3019 is 1772153.
The greatest common factor of 7490/587,5950/3019 = [GCF of 7490,5950]/[LCM of 587,3019]= 70/1772153
Therefore, the GCF of 7490/587,5950/3019 is 70/1772153.
To find the highest common factor of 7490,5950, we have to find the factors of both numbers and list the highest common factor.
The factors of 7490 are 1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490
The factors of 5950 are 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950
The HCF of 7490,5950 is 70.
Lets's calculate GCF of 7490,5950
2 | 7490, 5950 |
5 | 3745, 2975 |
7 | 749, 595 |
107, 85 |
∴ So the GCF of the given numbers is 2 x 5 x 7 = 70
Now, list down the factors of 7490
:1,2,5,7,10,14,35,70,107,214,535,749,1070,1498,3745,7490
Now, list down the factors of 5950
:1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950
Greatest Common Factor
We found the factors 7490,5950 . The biggest common factor number is the GCF number.
So the greatest common factor 7490,5950 is 70.
Lets's calculate LCM of 587,3019
Given numbers has no common factors except 1. So, there LCM is their product i.e 1772153
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/1772153
Therefore, the GCF of Fractions 7490/587,5950/3019 is 70/1772153
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 587,3019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,3019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,3019) x common factors =1 x 1 = 1
LCM(587,3019) = ( 587 × 3019 ) / 1
LCM(587,3019) = 1772153 / 1
LCM(587,3019) = 1772153
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7490,5950?
The HCF of 7490,5950 is 70
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 7490/587, 5950/3019?
Answer: GCF of Numerators as per given numbers 7490/587, 5950/3019 is
GCF of Numerators i.e. for 7490,5950 is 70
LCM of denominators i.e. for 587,3019 is 1772153.
Thus, GCF of Fractions is 70/1772153.Finally, GCF of Fractions for 7490/587, 5950/3019 is 70/1772153.