Use our free GCF of Fractions Calculator tool to compute the GCF of 807/680, 269/473 i.e 269/321640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/680, 269/473.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/680,269/473
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 807/680,269/473, numerators are 807,269
Denominators are 680,473
The GCF of 807,269 is 269 .
LCM of 680,473 is 321640.
The greatest common factor of 807/680,269/473 = [GCF of 807,269]/[LCM of 680,473]= 269/321640
Therefore, the GCF of 807/680,269/473 is 269/321640.
To find the highest common factor of 807,269, we have to find the factors of both numbers and list the highest common factor.
The factors of 807 are 1, 3, 269, 807
The factors of 269 are 1, 269
The HCF of 807,269 is 269.
Lets's calculate GCF of 807,269
269 | 807, 269 |
3, 1 |
∴ So the GCF of the given numbers is 269 = 269
Now, list down the factors of 807
:1,3,269,807
Now, list down the factors of 269
:1,269
Greatest Common Factor
We found the factors 807,269 . The biggest common factor number is the GCF number.
So the greatest common factor 807,269 is 269.
Lets's calculate LCM of 680,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 321640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 269/321640
Therefore, the GCF of Fractions 807/680,269/473 is 269/321640
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 680,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(680,473) x common factors =1 x 1 = 1
LCM(680,473) = ( 680 × 473 ) / 1
LCM(680,473) = 321640 / 1
LCM(680,473) = 321640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 807,269?
The HCF of 807,269 is 269
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 807/680, 269/473?
Answer: GCF of Numerators as per given numbers 807/680, 269/473 is
GCF of Numerators i.e. for 807,269 is 269
LCM of denominators i.e. for 680,473 is 321640.
Thus, GCF of Fractions is 269/321640.Finally, GCF of Fractions for 807/680, 269/473 is 269/321640.