Use our free GCF of Fractions Calculator tool to compute the GCF of 467/422, 292/845 i.e 1/356590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/422, 292/845.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 467/422,292/845
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 467/422,292/845, numerators are 467,292
Denominators are 422,845
The GCF of 467,292 is 1 .
LCM of 422,845 is 356590.
The greatest common factor of 467/422,292/845 = [GCF of 467,292]/[LCM of 422,845]= 1/356590
Therefore, the GCF of 467/422,292/845 is 1/356590.
To find the highest common factor of 467,292, we have to find the factors of both numbers and list the highest common factor.
The factors of 467 are 1, 467
The factors of 292 are 1, 2, 4, 73, 146, 292
The HCF of 467,292 is 1.
Lets's calculate GCF of 467,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 467
:1,467
Now, list down the factors of 292
:1,2,4,73,146,292
Greatest Common Factor
We found the factors 467,292 . The biggest common factor number is the GCF number.
So the greatest common factor 467,292 is 1.
Lets's calculate LCM of 422,845
Given numbers has no common factors except 1. So, there LCM is their product i.e 356590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/356590
Therefore, the GCF of Fractions 467/422,292/845 is 1/356590
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 422,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(422,845) x common factors =1 x 1 = 1
LCM(422,845) = ( 422 × 845 ) / 1
LCM(422,845) = 356590 / 1
LCM(422,845) = 356590
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 467,292?
The HCF of 467,292 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 467/422, 292/845?
Answer: GCF of Numerators as per given numbers 467/422, 292/845 is
GCF of Numerators i.e. for 467,292 is 1
LCM of denominators i.e. for 422,845 is 356590.
Thus, GCF of Fractions is 1/356590.Finally, GCF of Fractions for 467/422, 292/845 is 1/356590.