Use our free GCF of Fractions Calculator tool to compute the GCF of 651/709, 436/409 i.e 1/289981 easily. The following is the detailed procedure to determine the greatest common factor of fractions 651/709, 436/409.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 651/709,436/409
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 651/709,436/409, numerators are 651,436
Denominators are 709,409
The GCF of 651,436 is 1 .
LCM of 709,409 is 289981.
The greatest common factor of 651/709,436/409 = [GCF of 651,436]/[LCM of 709,409]= 1/289981
Therefore, the GCF of 651/709,436/409 is 1/289981.
To find the highest common factor of 651,436, we have to find the factors of both numbers and list the highest common factor.
The factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651
The factors of 436 are 1, 2, 4, 109, 218, 436
The HCF of 651,436 is 1.
Lets's calculate GCF of 651,436
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 651
:1,3,7,21,31,93,217,651
Now, list down the factors of 436
:1,2,4,109,218,436
Greatest Common Factor
We found the factors 651,436 . The biggest common factor number is the GCF number.
So the greatest common factor 651,436 is 1.
Lets's calculate LCM of 709,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 289981
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289981
Therefore, the GCF of Fractions 651/709,436/409 is 1/289981
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 709,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,409) x common factors =1 x 1 = 1
LCM(709,409) = ( 709 × 409 ) / 1
LCM(709,409) = 289981 / 1
LCM(709,409) = 289981
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 651,436?
The HCF of 651,436 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 651/709, 436/409?
Answer: GCF of Numerators as per given numbers 651/709, 436/409 is
GCF of Numerators i.e. for 651,436 is 1
LCM of denominators i.e. for 709,409 is 289981.
Thus, GCF of Fractions is 1/289981.Finally, GCF of Fractions for 651/709, 436/409 is 1/289981.