Use our free GCF of Fractions Calculator tool to compute the GCF of 807/472, 650/229 i.e 1/108088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/472, 650/229.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/472,650/229
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 807/472,650/229, numerators are 807,650
Denominators are 472,229
The GCF of 807,650 is 1 .
LCM of 472,229 is 108088.
The greatest common factor of 807/472,650/229 = [GCF of 807,650]/[LCM of 472,229]= 1/108088
Therefore, the GCF of 807/472,650/229 is 1/108088.
To find the highest common factor of 807,650, we have to find the factors of both numbers and list the highest common factor.
The factors of 807 are 1, 3, 269, 807
The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
The HCF of 807,650 is 1.
Lets's calculate GCF of 807,650
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 807
:1,3,269,807
Now, list down the factors of 650
:1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 807,650 . The biggest common factor number is the GCF number.
So the greatest common factor 807,650 is 1.
Lets's calculate LCM of 472,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 108088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108088
Therefore, the GCF of Fractions 807/472,650/229 is 1/108088
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 472,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,229) x common factors =1 x 1 = 1
LCM(472,229) = ( 472 × 229 ) / 1
LCM(472,229) = 108088 / 1
LCM(472,229) = 108088
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 807,650?
The HCF of 807,650 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 807/472, 650/229?
Answer: GCF of Numerators as per given numbers 807/472, 650/229 is
GCF of Numerators i.e. for 807,650 is 1
LCM of denominators i.e. for 472,229 is 108088.
Thus, GCF of Fractions is 1/108088.Finally, GCF of Fractions for 807/472, 650/229 is 1/108088.