Use our free GCF of Fractions Calculator tool to compute the GCF of 715/661, 478/991 i.e 1/655051 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/661, 478/991.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 715/661,478/991
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 715/661,478/991, numerators are 715,478
Denominators are 661,991
The GCF of 715,478 is 1 .
LCM of 661,991 is 655051.
The greatest common factor of 715/661,478/991 = [GCF of 715,478]/[LCM of 661,991]= 1/655051
Therefore, the GCF of 715/661,478/991 is 1/655051.
To find the highest common factor of 715,478, we have to find the factors of both numbers and list the highest common factor.
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The factors of 478 are 1, 2, 239, 478
The HCF of 715,478 is 1.
Lets's calculate GCF of 715,478
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Now, list down the factors of 478
:1,2,239,478
Greatest Common Factor
We found the factors 715,478 . The biggest common factor number is the GCF number.
So the greatest common factor 715,478 is 1.
Lets's calculate LCM of 661,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 655051
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/655051
Therefore, the GCF of Fractions 715/661,478/991 is 1/655051
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 661,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,991) x common factors =1 x 1 = 1
LCM(661,991) = ( 661 × 991 ) / 1
LCM(661,991) = 655051 / 1
LCM(661,991) = 655051
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 715,478?
The HCF of 715,478 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 715/661, 478/991?
Answer: GCF of Numerators as per given numbers 715/661, 478/991 is
GCF of Numerators i.e. for 715,478 is 1
LCM of denominators i.e. for 661,991 is 655051.
Thus, GCF of Fractions is 1/655051.Finally, GCF of Fractions for 715/661, 478/991 is 1/655051.