Use our free GCF of Fractions Calculator tool to compute the GCF of 4977/376, 8560/6193 i.e 1/2328568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4977/376, 8560/6193.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4977/376,8560/6193
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 4977/376,8560/6193, numerators are 4977,8560
Denominators are 376,6193
The GCF of 4977,8560 is 1 .
LCM of 376,6193 is 2328568.
The greatest common factor of 4977/376,8560/6193 = [GCF of 4977,8560]/[LCM of 376,6193]= 1/2328568
Therefore, the GCF of 4977/376,8560/6193 is 1/2328568.
To find the highest common factor of 4977,8560, we have to find the factors of both numbers and list the highest common factor.
The factors of 4977 are 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977
The factors of 8560 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 107, 214, 428, 535, 856, 1070, 1712, 2140, 4280, 8560
The HCF of 4977,8560 is 1.
Lets's calculate GCF of 4977,8560
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4977
:1,3,7,9,21,63,79,237,553,711,1659,4977
Now, list down the factors of 8560
:1,2,4,5,8,10,16,20,40,80,107,214,428,535,856,1070,1712,2140,4280,8560
Greatest Common Factor
We found the factors 4977,8560 . The biggest common factor number is the GCF number.
So the greatest common factor 4977,8560 is 1.
Lets's calculate LCM of 376,6193
Given numbers has no common factors except 1. So, there LCM is their product i.e 2328568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2328568
Therefore, the GCF of Fractions 4977/376,8560/6193 is 1/2328568
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 376,6193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,6193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,6193) x common factors =1 x 1 = 1
LCM(376,6193) = ( 376 × 6193 ) / 1
LCM(376,6193) = 2328568 / 1
LCM(376,6193) = 2328568
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4977,8560?
The HCF of 4977,8560 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 4977/376, 8560/6193?
Answer: GCF of Numerators as per given numbers 4977/376, 8560/6193 is
GCF of Numerators i.e. for 4977,8560 is 1
LCM of denominators i.e. for 376,6193 is 2328568.
Thus, GCF of Fractions is 1/2328568.Finally, GCF of Fractions for 4977/376, 8560/6193 is 1/2328568.