Use our free GCF of Fractions Calculator tool to compute the GCF of 607/469, 821/196 i.e 1/13132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 607/469, 821/196.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 607/469,821/196
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 607/469,821/196, numerators are 607,821
Denominators are 469,196
The GCF of 607,821 is 1 .
LCM of 469,196 is 13132.
The greatest common factor of 607/469,821/196 = [GCF of 607,821]/[LCM of 469,196]= 1/13132
Therefore, the GCF of 607/469,821/196 is 1/13132.
To find the highest common factor of 607,821, we have to find the factors of both numbers and list the highest common factor.
The factors of 607 are 1, 607
The factors of 821 are 1, 821
The HCF of 607,821 is 1.
Lets's calculate GCF of 607,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 607
:1,607
Now, list down the factors of 821
:1,821
Greatest Common Factor
We found the factors 607,821 . The biggest common factor number is the GCF number.
So the greatest common factor 607,821 is 1.
Lets's calculate LCM of 469,196
7 | 469, 196 |
67, 28 |
∴ So the LCM of the given numbers is 7 x 67 x 28 = 13132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13132
Therefore, the GCF of Fractions 607/469,821/196 is 1/13132
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 469,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,196) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(469,196) x common factors =7 x 1 = 7
LCM(469,196) = ( 469 × 196 ) / 7
LCM(469,196) = 91924 / 7
LCM(469,196) = 13132
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 607,821?
The HCF of 607,821 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 607/469, 821/196?
Answer: GCF of Numerators as per given numbers 607/469, 821/196 is
GCF of Numerators i.e. for 607,821 is 1
LCM of denominators i.e. for 469,196 is 13132.
Thus, GCF of Fractions is 1/13132.Finally, GCF of Fractions for 607/469, 821/196 is 1/13132.