Use our free GCF of Fractions Calculator tool to compute the GCF of 8972/502, 8423/4925 i.e 1/2472350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8972/502, 8423/4925.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8972/502,8423/4925
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 8972/502,8423/4925, numerators are 8972,8423
Denominators are 502,4925
The GCF of 8972,8423 is 1 .
LCM of 502,4925 is 2472350.
The greatest common factor of 8972/502,8423/4925 = [GCF of 8972,8423]/[LCM of 502,4925]= 1/2472350
Therefore, the GCF of 8972/502,8423/4925 is 1/2472350.
To find the highest common factor of 8972,8423, we have to find the factors of both numbers and list the highest common factor.
The factors of 8972 are 1, 2, 4, 2243, 4486, 8972
The factors of 8423 are 1, 8423
The HCF of 8972,8423 is 1.
Lets's calculate GCF of 8972,8423
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8972
:1,2,4,2243,4486,8972
Now, list down the factors of 8423
:1,8423
Greatest Common Factor
We found the factors 8972,8423 . The biggest common factor number is the GCF number.
So the greatest common factor 8972,8423 is 1.
Lets's calculate LCM of 502,4925
Given numbers has no common factors except 1. So, there LCM is their product i.e 2472350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2472350
Therefore, the GCF of Fractions 8972/502,8423/4925 is 1/2472350
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 502,4925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,4925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,4925) x common factors =1 x 1 = 1
LCM(502,4925) = ( 502 × 4925 ) / 1
LCM(502,4925) = 2472350 / 1
LCM(502,4925) = 2472350
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8972,8423?
The HCF of 8972,8423 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 8972/502, 8423/4925?
Answer: GCF of Numerators as per given numbers 8972/502, 8423/4925 is
GCF of Numerators i.e. for 8972,8423 is 1
LCM of denominators i.e. for 502,4925 is 2472350.
Thus, GCF of Fractions is 1/2472350.Finally, GCF of Fractions for 8972/502, 8423/4925 is 1/2472350.