Use our free GCF of Fractions Calculator tool to compute the GCF of 951/274, 100/634 i.e 1/86858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 951/274, 100/634.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 951/274,100/634
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 951/274,100/634, numerators are 951,100
Denominators are 274,634
The GCF of 951,100 is 1 .
LCM of 274,634 is 86858.
The greatest common factor of 951/274,100/634 = [GCF of 951,100]/[LCM of 274,634]= 1/86858
Therefore, the GCF of 951/274,100/634 is 1/86858.
To find the highest common factor of 951,100, we have to find the factors of both numbers and list the highest common factor.
The factors of 951 are 1, 3, 317, 951
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
The HCF of 951,100 is 1.
Lets's calculate GCF of 951,100
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 951
:1,3,317,951
Now, list down the factors of 100
:1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 951,100 . The biggest common factor number is the GCF number.
So the greatest common factor 951,100 is 1.
Lets's calculate LCM of 274,634
2 | 274, 634 |
137, 317 |
∴ So the LCM of the given numbers is 2 x 137 x 317 = 86858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86858
Therefore, the GCF of Fractions 951/274,100/634 is 1/86858
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 274,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,634) x common factors =2 x 1 = 2
LCM(274,634) = ( 274 × 634 ) / 2
LCM(274,634) = 173716 / 2
LCM(274,634) = 86858
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 951,100?
The HCF of 951,100 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 951/274, 100/634?
Answer: GCF of Numerators as per given numbers 951/274, 100/634 is
GCF of Numerators i.e. for 951,100 is 1
LCM of denominators i.e. for 274,634 is 86858.
Thus, GCF of Fractions is 1/86858.Finally, GCF of Fractions for 951/274, 100/634 is 1/86858.