Use our free GCF of Fractions Calculator tool to compute the GCF of 487/750, 756/435 i.e 1/21750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/750, 756/435.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 487/750,756/435
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 487/750,756/435, numerators are 487,756
Denominators are 750,435
The GCF of 487,756 is 1 .
LCM of 750,435 is 21750.
The greatest common factor of 487/750,756/435 = [GCF of 487,756]/[LCM of 750,435]= 1/21750
Therefore, the GCF of 487/750,756/435 is 1/21750.
To find the highest common factor of 487,756, we have to find the factors of both numbers and list the highest common factor.
The factors of 487 are 1, 487
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
The HCF of 487,756 is 1.
Lets's calculate GCF of 487,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 487
:1,487
Now, list down the factors of 756
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 487,756 . The biggest common factor number is the GCF number.
So the greatest common factor 487,756 is 1.
Lets's calculate LCM of 750,435
3 | 750, 435 |
5 | 250, 145 |
50, 29 |
∴ So the LCM of the given numbers is 3 x 5 x 50 x 29 = 21750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21750
Therefore, the GCF of Fractions 487/750,756/435 is 1/21750
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 750,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,435) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(750,435) x common factors =15 x 1 = 15
LCM(750,435) = ( 750 × 435 ) / 15
LCM(750,435) = 326250 / 15
LCM(750,435) = 21750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 487,756?
The HCF of 487,756 is 1
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 487/750, 756/435?
Answer: GCF of Numerators as per given numbers 487/750, 756/435 is
GCF of Numerators i.e. for 487,756 is 1
LCM of denominators i.e. for 750,435 is 21750.
Thus, GCF of Fractions is 1/21750.Finally, GCF of Fractions for 487/750, 756/435 is 1/21750.