Use our free GCF of Fractions Calculator tool to compute the GCF of 3910/700, 7937/4653 i.e 1/3257100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3910/700, 7937/4653.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3910/700,7937/4653
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 3910/700,7937/4653, numerators are 3910,7937
Denominators are 700,4653
The GCF of 3910,7937 is 1 .
LCM of 700,4653 is 3257100.
The greatest common factor of 3910/700,7937/4653 = [GCF of 3910,7937]/[LCM of 700,4653]= 1/3257100
Therefore, the GCF of 3910/700,7937/4653 is 1/3257100.
To find the highest common factor of 3910,7937, we have to find the factors of both numbers and list the highest common factor.
The factors of 3910 are 1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910
The factors of 7937 are 1, 7937
The HCF of 3910,7937 is 1.
Lets's calculate GCF of 3910,7937
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3910
:1,2,5,10,17,23,34,46,85,115,170,230,391,782,1955,3910
Now, list down the factors of 7937
:1,7937
Greatest Common Factor
We found the factors 3910,7937 . The biggest common factor number is the GCF number.
So the greatest common factor 3910,7937 is 1.
Lets's calculate LCM of 700,4653
Given numbers has no common factors except 1. So, there LCM is their product i.e 3257100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3257100
Therefore, the GCF of Fractions 3910/700,7937/4653 is 1/3257100
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 700,4653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,4653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(700,4653) x common factors =1 x 1 = 1
LCM(700,4653) = ( 700 × 4653 ) / 1
LCM(700,4653) = 3257100 / 1
LCM(700,4653) = 3257100
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3910,7937?
The HCF of 3910,7937 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 3910/700, 7937/4653?
Answer: GCF of Numerators as per given numbers 3910/700, 7937/4653 is
GCF of Numerators i.e. for 3910,7937 is 1
LCM of denominators i.e. for 700,4653 is 3257100.
Thus, GCF of Fractions is 1/3257100.Finally, GCF of Fractions for 3910/700, 7937/4653 is 1/3257100.