Use our free GCF of Fractions Calculator tool to compute the GCF of 67/500, 56/774, 344/740 i.e 1/7159500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/500, 56/774, 344/740.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 67/500,56/774,344/740
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 67/500,56/774,344/740, numerators are 67,56,344
Denominators are 500,774,740
The GCF of 67,56,344 is 1 .
LCM of 500,774,740 is 7159500.
The greatest common factor of 67/500,56/774,344/740 = [GCF of 67,56,344]/[LCM of 500,774,740]= 1/7159500
Therefore, the GCF of 67/500,56/774,344/740 is 1/7159500.
To find the highest common factor of 67,56,344, we have to find the factors of both numbers and list the highest common factor.
The factors of 67 are 1, 67
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The HCF of 67,56,344 is 1.
Lets's calculate GCF of 67,56,344
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 67
:1,67
Now, list down the factors of 56
:1,2,4,7,8,14,28,56
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 67,56,344 . The biggest common factor number is the GCF number.
So the greatest common factor 67,56,344 is 1.
Lets's calculate LCM of 500,774,740
2 | 500, 774, 740 |
2 | 250, 387, 370 |
5 | 125, 387, 185 |
25, 387, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 25 x 387 x 37 = 7159500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7159500
Therefore, the GCF of Fractions 67/500,56/774,344/740 is 1/7159500
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 500,774,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,774,740) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(500,774,740) x common factors =2 x 20 = 40
LCM(500,774,740) = ( 500 × 774 × 740 ) / 40
LCM(500,774,740) = 286380000 / 40
LCM(500,774,740) = 7159500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 67,56,344?
The HCF of 67,56,344 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 67/500, 56/774, 344/740?
Answer: GCF of Numerators as per given numbers 67/500, 56/774, 344/740 is
GCF of Numerators i.e. for 67,56,344 is 1
LCM of denominators i.e. for 500,774,740 is 7159500.
Thus, GCF of Fractions is 1/7159500.Finally, GCF of Fractions for 67/500, 56/774, 344/740 is 1/7159500.