Use our free GCF of Fractions Calculator tool to compute the GCF of 826/818, 316/753 i.e 2/615954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 826/818, 316/753.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 826/818,316/753
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 826/818,316/753, numerators are 826,316
Denominators are 818,753
The GCF of 826,316 is 2 .
LCM of 818,753 is 615954.
The greatest common factor of 826/818,316/753 = [GCF of 826,316]/[LCM of 818,753]= 2/615954
Therefore, the GCF of 826/818,316/753 is 2/615954.
To find the highest common factor of 826,316, 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 316 are 1, 2, 4, 79, 158, 316
The HCF of 826,316 is 2.
Lets's calculate GCF of 826,316
2 | 826, 316 |
413, 158 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 826
:1,2,7,14,59,118,413,826
Now, list down the factors of 316
:1,2,4,79,158,316
Greatest Common Factor
We found the factors 826,316 . The biggest common factor number is the GCF number.
So the greatest common factor 826,316 is 2.
Lets's calculate LCM of 818,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 615954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/615954
Therefore, the GCF of Fractions 826/818,316/753 is 2/615954
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 818,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(818,753) x common factors =1 x 1 = 1
LCM(818,753) = ( 818 × 753 ) / 1
LCM(818,753) = 615954 / 1
LCM(818,753) = 615954
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 826,316?
The HCF of 826,316 is 2
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 826/818, 316/753?
Answer: GCF of Numerators as per given numbers 826/818, 316/753 is
GCF of Numerators i.e. for 826,316 is 2
LCM of denominators i.e. for 818,753 is 615954.
Thus, GCF of Fractions is 2/615954.Finally, GCF of Fractions for 826/818, 316/753 is 2/615954.