Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/14,81/70,40/627,664/703
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 5,81,40,664
Greatest Common Factor of Numerators i.e. GCF of 5,81,40,664 is 1 .
LCM of Denominators means LCM of 14,70,627,703 as per the given fractions.
LCM of 14,70,627,703 is 1623930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,81,40,664
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 5,81,40,664 . The biggest common factor number is the GCF number.
So the greatest common factor 5,81,40,664 is 1.
Lets's calculate LCM of 14,70,627,703
2 | 14, 70, 627, 703 |
7 | 7, 35, 627, 703 |
19 | 1, 5, 627, 703 |
1, 5, 33, 37 |
∴ So the LCM of the given numbers is 2 x 7 x 19 x 1 x 5 x 33 x 37 = 1623930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1623930
Therefore, the GCF of Fractions 5/14,81/70,40/627,664/703 is 1/1623930
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 14,70,627,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,70,627,703) = 1
common factors(in case of two or more numbers have common factors) = 266
GCF(14,70,627,703) x common factors =1 x 266 = 266
LCM(14,70,627,703) = ( 14 × 70 × 627 × 703 ) / 266
LCM(14,70,627,703) = 431965380 / 266
LCM(14,70,627,703) = 1623930
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 5/14, 81/70, 40/627, 664/703?
Answer: GCF of Numerators as per given numbers 5/14, 81/70, 40/627, 664/703 is
GCF of Numerators i.e. for 5,81,40,664 is 1
LCM of denominators i.e. for 14,70,627,703 is 1623930.
Thus, GCF of Fractions is 1/1623930.Finally, GCF of Fractions for 5/14, 81/70, 40/627, 664/703 is 1/1623930.