Use our free GCF of Fractions Calculator tool to compute the GCF of 722/908, 829/232 i.e 1/52664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 722/908, 829/232.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 722/908,829/232
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 722/908,829/232, numerators are 722,829
Denominators are 908,232
The GCF of 722,829 is 1 .
LCM of 908,232 is 52664.
The greatest common factor of 722/908,829/232 = [GCF of 722,829]/[LCM of 908,232]= 1/52664
Therefore, the GCF of 722/908,829/232 is 1/52664.
To find the highest common factor of 722,829, we have to find the factors of both numbers and list the highest common factor.
The factors of 722 are 1, 2, 19, 38, 361, 722
The factors of 829 are 1, 829
The HCF of 722,829 is 1.
Lets's calculate GCF of 722,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 722
:1,2,19,38,361,722
Now, list down the factors of 829
:1,829
Greatest Common Factor
We found the factors 722,829 . The biggest common factor number is the GCF number.
So the greatest common factor 722,829 is 1.
Lets's calculate LCM of 908,232
2 | 908, 232 |
2 | 454, 116 |
227, 58 |
∴ So the LCM of the given numbers is 2 x 2 x 227 x 58 = 52664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52664
Therefore, the GCF of Fractions 722/908,829/232 is 1/52664
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 908,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,232) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(908,232) x common factors =4 x 1 = 4
LCM(908,232) = ( 908 × 232 ) / 4
LCM(908,232) = 210656 / 4
LCM(908,232) = 52664
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 722,829?
The HCF of 722,829 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 722/908, 829/232?
Answer: GCF of Numerators as per given numbers 722/908, 829/232 is
GCF of Numerators i.e. for 722,829 is 1
LCM of denominators i.e. for 908,232 is 52664.
Thus, GCF of Fractions is 1/52664.Finally, GCF of Fractions for 722/908, 829/232 is 1/52664.