Use our free GCF of Fractions Calculator tool to compute the GCF of 65/824, 508/724, 434/385 i.e 1/57420440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/824, 508/724, 434/385.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/824,508/724,434/385
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 65/824,508/724,434/385, numerators are 65,508,434
Denominators are 824,724,385
The GCF of 65,508,434 is 1 .
LCM of 824,724,385 is 57420440.
The greatest common factor of 65/824,508/724,434/385 = [GCF of 65,508,434]/[LCM of 824,724,385]= 1/57420440
Therefore, the GCF of 65/824,508/724,434/385 is 1/57420440.
To find the highest common factor of 65,508,434, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 508 are 1, 2, 4, 127, 254, 508
The factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434
The HCF of 65,508,434 is 1.
Lets's calculate GCF of 65,508,434
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 508
:1,2,4,127,254,508
Now, list down the factors of 434
:1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 65,508,434 . The biggest common factor number is the GCF number.
So the greatest common factor 65,508,434 is 1.
Lets's calculate LCM of 824,724,385
2 | 824, 724, 385 |
2 | 412, 362, 385 |
206, 181, 385 |
∴ So the LCM of the given numbers is 2 x 2 x 206 x 181 x 385 = 57420440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57420440
Therefore, the GCF of Fractions 65/824,508/724,434/385 is 1/57420440
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 824,724,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,724,385) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(824,724,385) x common factors =1 x 4 = 4
LCM(824,724,385) = ( 824 × 724 × 385 ) / 4
LCM(824,724,385) = 229681760 / 4
LCM(824,724,385) = 57420440
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 65,508,434?
The HCF of 65,508,434 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 65/824, 508/724, 434/385?
Answer: GCF of Numerators as per given numbers 65/824, 508/724, 434/385 is
GCF of Numerators i.e. for 65,508,434 is 1
LCM of denominators i.e. for 824,724,385 is 57420440.
Thus, GCF of Fractions is 1/57420440.Finally, GCF of Fractions for 65/824, 508/724, 434/385 is 1/57420440.