Use our free GCF of Fractions Calculator tool to compute the GCF of 1435/468, 6536/286 i.e 1/5148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1435/468, 6536/286.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1435/468,6536/286
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 1435/468,6536/286, numerators are 1435,6536
Denominators are 468,286
The GCF of 1435,6536 is 1 .
LCM of 468,286 is 5148.
The greatest common factor of 1435/468,6536/286 = [GCF of 1435,6536]/[LCM of 468,286]= 1/5148
Therefore, the GCF of 1435/468,6536/286 is 1/5148.
To find the highest common factor of 1435,6536, we have to find the factors of both numbers and list the highest common factor.
The factors of 1435 are 1, 5, 7, 35, 41, 205, 287, 1435
The factors of 6536 are 1, 2, 4, 8, 19, 38, 43, 76, 86, 152, 172, 344, 817, 1634, 3268, 6536
The HCF of 1435,6536 is 1.
Lets's calculate GCF of 1435,6536
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1435
:1,5,7,35,41,205,287,1435
Now, list down the factors of 6536
:1,2,4,8,19,38,43,76,86,152,172,344,817,1634,3268,6536
Greatest Common Factor
We found the factors 1435,6536 . The biggest common factor number is the GCF number.
So the greatest common factor 1435,6536 is 1.
Lets's calculate LCM of 468,286
2 | 468, 286 |
13 | 234, 143 |
18, 11 |
∴ So the LCM of the given numbers is 2 x 13 x 18 x 11 = 5148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5148
Therefore, the GCF of Fractions 1435/468,6536/286 is 1/5148
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 468,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,286) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(468,286) x common factors =26 x 1 = 26
LCM(468,286) = ( 468 × 286 ) / 26
LCM(468,286) = 133848 / 26
LCM(468,286) = 5148
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1435,6536?
The HCF of 1435,6536 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 1435/468, 6536/286?
Answer: GCF of Numerators as per given numbers 1435/468, 6536/286 is
GCF of Numerators i.e. for 1435,6536 is 1
LCM of denominators i.e. for 468,286 is 5148.
Thus, GCF of Fractions is 1/5148.Finally, GCF of Fractions for 1435/468, 6536/286 is 1/5148.