Use our free GCF of Fractions Calculator tool to compute the GCF of 9147/628, 4757/516 i.e 1/81012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9147/628, 4757/516.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9147/628,4757/516
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 9147/628,4757/516, numerators are 9147,4757
Denominators are 628,516
The GCF of 9147,4757 is 1 .
LCM of 628,516 is 81012.
The greatest common factor of 9147/628,4757/516 = [GCF of 9147,4757]/[LCM of 628,516]= 1/81012
Therefore, the GCF of 9147/628,4757/516 is 1/81012.
To find the highest common factor of 9147,4757, we have to find the factors of both numbers and list the highest common factor.
The factors of 9147 are 1, 3, 3049, 9147
The factors of 4757 are 1, 67, 71, 4757
The HCF of 9147,4757 is 1.
Lets's calculate GCF of 9147,4757
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9147
:1,3,3049,9147
Now, list down the factors of 4757
:1,67,71,4757
Greatest Common Factor
We found the factors 9147,4757 . The biggest common factor number is the GCF number.
So the greatest common factor 9147,4757 is 1.
Lets's calculate LCM of 628,516
2 | 628, 516 |
2 | 314, 258 |
157, 129 |
∴ So the LCM of the given numbers is 2 x 2 x 157 x 129 = 81012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81012
Therefore, the GCF of Fractions 9147/628,4757/516 is 1/81012
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 628,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,516) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(628,516) x common factors =4 x 1 = 4
LCM(628,516) = ( 628 × 516 ) / 4
LCM(628,516) = 324048 / 4
LCM(628,516) = 81012
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9147,4757?
The HCF of 9147,4757 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 9147/628, 4757/516?
Answer: GCF of Numerators as per given numbers 9147/628, 4757/516 is
GCF of Numerators i.e. for 9147,4757 is 1
LCM of denominators i.e. for 628,516 is 81012.
Thus, GCF of Fractions is 1/81012.Finally, GCF of Fractions for 9147/628, 4757/516 is 1/81012.