Use our free GCF of Fractions Calculator tool to compute the GCF of 826/513, 531/356 i.e 59/182628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 826/513, 531/356.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 826/513,531/356
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 826/513,531/356, numerators are 826,531
Denominators are 513,356
The GCF of 826,531 is 59 .
LCM of 513,356 is 182628.
The greatest common factor of 826/513,531/356 = [GCF of 826,531]/[LCM of 513,356]= 59/182628
Therefore, the GCF of 826/513,531/356 is 59/182628.
To find the highest common factor of 826,531, we have to find the factors of both numbers and list the highest common factor.
The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826
The factors of 531 are 1, 3, 9, 59, 177, 531
The HCF of 826,531 is 59.
Lets's calculate GCF of 826,531
59 | 826, 531 |
14, 9 |
∴ So the GCF of the given numbers is 59 = 59
Now, list down the factors of 826
:1,2,7,14,59,118,413,826
Now, list down the factors of 531
:1,3,9,59,177,531
Greatest Common Factor
We found the factors 826,531 . The biggest common factor number is the GCF number.
So the greatest common factor 826,531 is 59.
Lets's calculate LCM of 513,356
Given numbers has no common factors except 1. So, there LCM is their product i.e 182628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/182628
Therefore, the GCF of Fractions 826/513,531/356 is 59/182628
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 513,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,356) x common factors =1 x 1 = 1
LCM(513,356) = ( 513 × 356 ) / 1
LCM(513,356) = 182628 / 1
LCM(513,356) = 182628
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 826,531?
The HCF of 826,531 is 59
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 826/513, 531/356?
Answer: GCF of Numerators as per given numbers 826/513, 531/356 is
GCF of Numerators i.e. for 826,531 is 59
LCM of denominators i.e. for 513,356 is 182628.
Thus, GCF of Fractions is 59/182628.Finally, GCF of Fractions for 826/513, 531/356 is 59/182628.