Use our free GCF of Fractions Calculator tool to compute the GCF of 451/117, 637/634 i.e 1/74178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 451/117, 637/634.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 451/117,637/634
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 451/117,637/634, numerators are 451,637
Denominators are 117,634
The GCF of 451,637 is 1 .
LCM of 117,634 is 74178.
The greatest common factor of 451/117,637/634 = [GCF of 451,637]/[LCM of 117,634]= 1/74178
Therefore, the GCF of 451/117,637/634 is 1/74178.
To find the highest common factor of 451,637, we have to find the factors of both numbers and list the highest common factor.
The factors of 451 are 1, 11, 41, 451
The factors of 637 are 1, 7, 13, 49, 91, 637
The HCF of 451,637 is 1.
Lets's calculate GCF of 451,637
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 451
:1,11,41,451
Now, list down the factors of 637
:1,7,13,49,91,637
Greatest Common Factor
We found the factors 451,637 . The biggest common factor number is the GCF number.
So the greatest common factor 451,637 is 1.
Lets's calculate LCM of 117,634
Given numbers has no common factors except 1. So, there LCM is their product i.e 74178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74178
Therefore, the GCF of Fractions 451/117,637/634 is 1/74178
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 117,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,634) x common factors =1 x 1 = 1
LCM(117,634) = ( 117 × 634 ) / 1
LCM(117,634) = 74178 / 1
LCM(117,634) = 74178
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 451,637?
The HCF of 451,637 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 451/117, 637/634?
Answer: GCF of Numerators as per given numbers 451/117, 637/634 is
GCF of Numerators i.e. for 451,637 is 1
LCM of denominators i.e. for 117,634 is 74178.
Thus, GCF of Fractions is 1/74178.Finally, GCF of Fractions for 451/117, 637/634 is 1/74178.