Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 673/93,880/75,801/151
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 673,880,801
Greatest Common Factor of Numerators i.e. GCF of 673,880,801 is 1 .
LCM of Denominators means LCM of 93,75,151 as per the given fractions.
LCM of 93,75,151 is 351075 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 673,880,801
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Greatest Common Factor
We found the factors 673,880,801 . The biggest common factor number is the GCF number.
So the greatest common factor 673,880,801 is 1.
Lets's calculate LCM of 93,75,151
3 | 93, 75, 151 |
31, 25, 151 |
∴ So the LCM of the given numbers is 3 x 31 x 25 x 151 = 351075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351075
Therefore, the GCF of Fractions 673/93,880/75,801/151 is 1/351075
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 93,75,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,75,151) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,75,151) x common factors =1 x 3 = 3
LCM(93,75,151) = ( 93 × 75 × 151 ) / 3
LCM(93,75,151) = 1053225 / 3
LCM(93,75,151) = 351075
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 673/93, 880/75, 801/151?
Answer: GCF of Numerators as per given numbers 673/93, 880/75, 801/151 is
GCF of Numerators i.e. for 673,880,801 is 1
LCM of denominators i.e. for 93,75,151 is 351075.
Thus, GCF of Fractions is 1/351075.Finally, GCF of Fractions for 673/93, 880/75, 801/151 is 1/351075.