Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 733/736,6481/664
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 733,6481
Greatest Common Factor of Numerators i.e. GCF of 733,6481 is 1 .
LCM of Denominators means LCM of 736,664 as per the given fractions.
LCM of 736,664 is 61088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 733,6481
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 6481
List of positive integer factors of 6481 that divides 6481 without a remainder.
1,6481
Greatest Common Factor
We found the factors 733,6481 . The biggest common factor number is the GCF number.
So the greatest common factor 733,6481 is 1.
Lets's calculate LCM of 736,664
2 | 736, 664 |
2 | 368, 332 |
2 | 184, 166 |
92, 83 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 92 x 83 = 61088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61088
Therefore, the GCF of Fractions 733/736,6481/664 is 1/61088
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 736,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,664) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(736,664) x common factors =8 x 1 = 8
LCM(736,664) = ( 736 × 664 ) / 8
LCM(736,664) = 488704 / 8
LCM(736,664) = 61088
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 733/736, 6481/664?
Answer: GCF of Numerators as per given numbers 733/736, 6481/664 is
GCF of Numerators i.e. for 733,6481 is 1
LCM of denominators i.e. for 736,664 is 61088.
Thus, GCF of Fractions is 1/61088.Finally, GCF of Fractions for 733/736, 6481/664 is 1/61088.