Use our free GCF of Fractions Calculator tool to compute the GCF of 974/728, 786/530 i.e 2/192920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/728, 786/530.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 974/728,786/530
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 974/728,786/530, numerators are 974,786
Denominators are 728,530
The GCF of 974,786 is 2 .
LCM of 728,530 is 192920.
The greatest common factor of 974/728,786/530 = [GCF of 974,786]/[LCM of 728,530]= 2/192920
Therefore, the GCF of 974/728,786/530 is 2/192920.
To find the highest common factor of 974,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 974 are 1, 2, 487, 974
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 974,786 is 2.
Lets's calculate GCF of 974,786
2 | 974, 786 |
487, 393 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 974
:1,2,487,974
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 974,786 . The biggest common factor number is the GCF number.
So the greatest common factor 974,786 is 2.
Lets's calculate LCM of 728,530
2 | 728, 530 |
364, 265 |
∴ So the LCM of the given numbers is 2 x 364 x 265 = 192920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192920
Therefore, the GCF of Fractions 974/728,786/530 is 2/192920
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 728,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(728,530) x common factors =2 x 1 = 2
LCM(728,530) = ( 728 × 530 ) / 2
LCM(728,530) = 385840 / 2
LCM(728,530) = 192920
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 974,786?
The HCF of 974,786 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 974/728, 786/530?
Answer: GCF of Numerators as per given numbers 974/728, 786/530 is
GCF of Numerators i.e. for 974,786 is 2
LCM of denominators i.e. for 728,530 is 192920.
Thus, GCF of Fractions is 2/192920.Finally, GCF of Fractions for 974/728, 786/530 is 2/192920.