Use our free GCF of Fractions Calculator tool to compute the GCF of 756/496, 919/465 i.e 1/7440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 756/496, 919/465.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 756/496,919/465
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 756/496,919/465, numerators are 756,919
Denominators are 496,465
The GCF of 756,919 is 1 .
LCM of 496,465 is 7440.
The greatest common factor of 756/496,919/465 = [GCF of 756,919]/[LCM of 496,465]= 1/7440
Therefore, the GCF of 756/496,919/465 is 1/7440.
To find the highest common factor of 756,919, we have to find the factors of both numbers and list the highest common factor.
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 factors of 919 are 1, 919
The HCF of 756,919 is 1.
Lets's calculate GCF of 756,919
∴ So GCF of numbers is 1 because of no common factors present between them.
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
Now, list down the factors of 919
:1,919
Greatest Common Factor
We found the factors 756,919 . The biggest common factor number is the GCF number.
So the greatest common factor 756,919 is 1.
Lets's calculate LCM of 496,465
31 | 496, 465 |
16, 15 |
∴ So the LCM of the given numbers is 31 x 16 x 15 = 7440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7440
Therefore, the GCF of Fractions 756/496,919/465 is 1/7440
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 496,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,465) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(496,465) x common factors =31 x 1 = 31
LCM(496,465) = ( 496 × 465 ) / 31
LCM(496,465) = 230640 / 31
LCM(496,465) = 7440
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 756,919?
The HCF of 756,919 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 756/496, 919/465?
Answer: GCF of Numerators as per given numbers 756/496, 919/465 is
GCF of Numerators i.e. for 756,919 is 1
LCM of denominators i.e. for 496,465 is 7440.
Thus, GCF of Fractions is 1/7440.Finally, GCF of Fractions for 756/496, 919/465 is 1/7440.