Use our free GCF of Fractions Calculator tool to compute the GCF of 4717/762, 9658/1849 i.e 1/1408938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4717/762, 9658/1849.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4717/762,9658/1849
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 4717/762,9658/1849, numerators are 4717,9658
Denominators are 762,1849
The GCF of 4717,9658 is 1 .
LCM of 762,1849 is 1408938.
The greatest common factor of 4717/762,9658/1849 = [GCF of 4717,9658]/[LCM of 762,1849]= 1/1408938
Therefore, the GCF of 4717/762,9658/1849 is 1/1408938.
To find the highest common factor of 4717,9658, we have to find the factors of both numbers and list the highest common factor.
The factors of 4717 are 1, 53, 89, 4717
The factors of 9658 are 1, 2, 11, 22, 439, 878, 4829, 9658
The HCF of 4717,9658 is 1.
Lets's calculate GCF of 4717,9658
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4717
:1,53,89,4717
Now, list down the factors of 9658
:1,2,11,22,439,878,4829,9658
Greatest Common Factor
We found the factors 4717,9658 . The biggest common factor number is the GCF number.
So the greatest common factor 4717,9658 is 1.
Lets's calculate LCM of 762,1849
Given numbers has no common factors except 1. So, there LCM is their product i.e 1408938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1408938
Therefore, the GCF of Fractions 4717/762,9658/1849 is 1/1408938
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 762,1849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,1849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(762,1849) x common factors =1 x 1 = 1
LCM(762,1849) = ( 762 × 1849 ) / 1
LCM(762,1849) = 1408938 / 1
LCM(762,1849) = 1408938
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4717,9658?
The HCF of 4717,9658 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 4717/762, 9658/1849?
Answer: GCF of Numerators as per given numbers 4717/762, 9658/1849 is
GCF of Numerators i.e. for 4717,9658 is 1
LCM of denominators i.e. for 762,1849 is 1408938.
Thus, GCF of Fractions is 1/1408938.Finally, GCF of Fractions for 4717/762, 9658/1849 is 1/1408938.