Use our free GCF of Fractions Calculator tool to compute the GCF of 356/405, 623/263 i.e 89/106515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 356/405, 623/263.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 356/405,623/263
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 356/405,623/263, numerators are 356,623
Denominators are 405,263
The GCF of 356,623 is 89 .
LCM of 405,263 is 106515.
The greatest common factor of 356/405,623/263 = [GCF of 356,623]/[LCM of 405,263]= 89/106515
Therefore, the GCF of 356/405,623/263 is 89/106515.
To find the highest common factor of 356,623, we have to find the factors of both numbers and list the highest common factor.
The factors of 356 are 1, 2, 4, 89, 178, 356
The factors of 623 are 1, 7, 89, 623
The HCF of 356,623 is 89.
Lets's calculate GCF of 356,623
89 | 356, 623 |
4, 7 |
∴ So the GCF of the given numbers is 89 = 89
Now, list down the factors of 356
:1,2,4,89,178,356
Now, list down the factors of 623
:1,7,89,623
Greatest Common Factor
We found the factors 356,623 . The biggest common factor number is the GCF number.
So the greatest common factor 356,623 is 89.
Lets's calculate LCM of 405,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 106515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/106515
Therefore, the GCF of Fractions 356/405,623/263 is 89/106515
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 405,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,263) x common factors =1 x 1 = 1
LCM(405,263) = ( 405 × 263 ) / 1
LCM(405,263) = 106515 / 1
LCM(405,263) = 106515
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 356,623?
The HCF of 356,623 is 89
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 356/405, 623/263?
Answer: GCF of Numerators as per given numbers 356/405, 623/263 is
GCF of Numerators i.e. for 356,623 is 89
LCM of denominators i.e. for 405,263 is 106515.
Thus, GCF of Fractions is 89/106515.Finally, GCF of Fractions for 356/405, 623/263 is 89/106515.