Use our free GCF of Fractions Calculator tool to compute the GCF of 4763/606, 7099/6193 i.e 1/3752958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4763/606, 7099/6193.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4763/606,7099/6193
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 4763/606,7099/6193, numerators are 4763,7099
Denominators are 606,6193
The GCF of 4763,7099 is 1 .
LCM of 606,6193 is 3752958.
The greatest common factor of 4763/606,7099/6193 = [GCF of 4763,7099]/[LCM of 606,6193]= 1/3752958
Therefore, the GCF of 4763/606,7099/6193 is 1/3752958.
To find the highest common factor of 4763,7099, we have to find the factors of both numbers and list the highest common factor.
The factors of 4763 are 1, 11, 433, 4763
The factors of 7099 are 1, 31, 229, 7099
The HCF of 4763,7099 is 1.
Lets's calculate GCF of 4763,7099
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4763
:1,11,433,4763
Now, list down the factors of 7099
:1,31,229,7099
Greatest Common Factor
We found the factors 4763,7099 . The biggest common factor number is the GCF number.
So the greatest common factor 4763,7099 is 1.
Lets's calculate LCM of 606,6193
Given numbers has no common factors except 1. So, there LCM is their product i.e 3752958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3752958
Therefore, the GCF of Fractions 4763/606,7099/6193 is 1/3752958
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 606,6193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,6193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(606,6193) x common factors =1 x 1 = 1
LCM(606,6193) = ( 606 × 6193 ) / 1
LCM(606,6193) = 3752958 / 1
LCM(606,6193) = 3752958
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4763,7099?
The HCF of 4763,7099 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 4763/606, 7099/6193?
Answer: GCF of Numerators as per given numbers 4763/606, 7099/6193 is
GCF of Numerators i.e. for 4763,7099 is 1
LCM of denominators i.e. for 606,6193 is 3752958.
Thus, GCF of Fractions is 1/3752958.Finally, GCF of Fractions for 4763/606, 7099/6193 is 1/3752958.