Use our free GCF of Fractions Calculator tool to compute the GCF of 822/416, 504/941 i.e 6/391456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 822/416, 504/941.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 822/416,504/941
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 822/416,504/941, numerators are 822,504
Denominators are 416,941
The GCF of 822,504 is 6 .
LCM of 416,941 is 391456.
The greatest common factor of 822/416,504/941 = [GCF of 822,504]/[LCM of 416,941]= 6/391456
Therefore, the GCF of 822/416,504/941 is 6/391456.
To find the highest common factor of 822,504, we have to find the factors of both numbers and list the highest common factor.
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The HCF of 822,504 is 6.
Lets's calculate GCF of 822,504
2 | 822, 504 |
3 | 411, 252 |
137, 84 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 822,504 . The biggest common factor number is the GCF number.
So the greatest common factor 822,504 is 6.
Lets's calculate LCM of 416,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 391456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/391456
Therefore, the GCF of Fractions 822/416,504/941 is 6/391456
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 416,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(416,941) x common factors =1 x 1 = 1
LCM(416,941) = ( 416 × 941 ) / 1
LCM(416,941) = 391456 / 1
LCM(416,941) = 391456
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 822,504?
The HCF of 822,504 is 6
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 822/416, 504/941?
Answer: GCF of Numerators as per given numbers 822/416, 504/941 is
GCF of Numerators i.e. for 822,504 is 6
LCM of denominators i.e. for 416,941 is 391456.
Thus, GCF of Fractions is 6/391456.Finally, GCF of Fractions for 822/416, 504/941 is 6/391456.