Use our free GCF of Fractions Calculator tool to compute the GCF of 474/689, 9164/791 i.e 158/544999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 474/689, 9164/791.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 474/689,9164/791
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 474/689,9164/791, numerators are 474,9164
Denominators are 689,791
The GCF of 474,9164 is 158 .
LCM of 689,791 is 544999.
The greatest common factor of 474/689,9164/791 = [GCF of 474,9164]/[LCM of 689,791]= 158/544999
Therefore, the GCF of 474/689,9164/791 is 158/544999.
To find the highest common factor of 474,9164, we have to find the factors of both numbers and list the highest common factor.
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164
The HCF of 474,9164 is 158.
Lets's calculate GCF of 474,9164
2 | 474, 9164 |
79 | 237, 4582 |
3, 58 |
∴ So the GCF of the given numbers is 2 x 79 = 158
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Now, list down the factors of 9164
:1,2,4,29,58,79,116,158,316,2291,4582,9164
Greatest Common Factor
We found the factors 474,9164 . The biggest common factor number is the GCF number.
So the greatest common factor 474,9164 is 158.
Lets's calculate LCM of 689,791
Given numbers has no common factors except 1. So, there LCM is their product i.e 544999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 158/544999
Therefore, the GCF of Fractions 474/689,9164/791 is 158/544999
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 689,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,791) x common factors =1 x 1 = 1
LCM(689,791) = ( 689 × 791 ) / 1
LCM(689,791) = 544999 / 1
LCM(689,791) = 544999
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 474,9164?
The HCF of 474,9164 is 158
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 474/689, 9164/791?
Answer: GCF of Numerators as per given numbers 474/689, 9164/791 is
GCF of Numerators i.e. for 474,9164 is 158
LCM of denominators i.e. for 689,791 is 544999.
Thus, GCF of Fractions is 158/544999.Finally, GCF of Fractions for 474/689, 9164/791 is 158/544999.