Use our free GCF of Fractions Calculator tool to compute the GCF of 732/168, 657/995 i.e 3/167160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 732/168, 657/995.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 732/168,657/995
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 732/168,657/995, numerators are 732,657
Denominators are 168,995
The GCF of 732,657 is 3 .
LCM of 168,995 is 167160.
The greatest common factor of 732/168,657/995 = [GCF of 732,657]/[LCM of 168,995]= 3/167160
Therefore, the GCF of 732/168,657/995 is 3/167160.
To find the highest common factor of 732,657, we have to find the factors of both numbers and list the highest common factor.
The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
The factors of 657 are 1, 3, 9, 73, 219, 657
The HCF of 732,657 is 3.
Lets's calculate GCF of 732,657
3 | 732, 657 |
244, 219 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 732
:1,2,3,4,6,12,61,122,183,244,366,732
Now, list down the factors of 657
:1,3,9,73,219,657
Greatest Common Factor
We found the factors 732,657 . The biggest common factor number is the GCF number.
So the greatest common factor 732,657 is 3.
Lets's calculate LCM of 168,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 167160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/167160
Therefore, the GCF of Fractions 732/168,657/995 is 3/167160
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 168,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(168,995) x common factors =1 x 1 = 1
LCM(168,995) = ( 168 × 995 ) / 1
LCM(168,995) = 167160 / 1
LCM(168,995) = 167160
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 732,657?
The HCF of 732,657 is 3
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 732/168, 657/995?
Answer: GCF of Numerators as per given numbers 732/168, 657/995 is
GCF of Numerators i.e. for 732,657 is 3
LCM of denominators i.e. for 168,995 is 167160.
Thus, GCF of Fractions is 3/167160.Finally, GCF of Fractions for 732/168, 657/995 is 3/167160.