Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 183/708,745/313,175/640
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 183,745,175
Greatest Common Factor of Numerators i.e. GCF of 183,745,175 is 1 .
LCM of Denominators means LCM of 708,313,640 as per the given fractions.
LCM of 708,313,640 is 35456640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 183,745,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 183,745,175 . The biggest common factor number is the GCF number.
So the greatest common factor 183,745,175 is 1.
Lets's calculate LCM of 708,313,640
2 | 708, 313, 640 |
2 | 354, 313, 320 |
177, 313, 160 |
∴ So the LCM of the given numbers is 2 x 2 x 177 x 313 x 160 = 35456640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35456640
Therefore, the GCF of Fractions 183/708,745/313,175/640 is 1/35456640
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 708,313,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,313,640) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(708,313,640) x common factors =1 x 4 = 4
LCM(708,313,640) = ( 708 × 313 × 640 ) / 4
LCM(708,313,640) = 141826560 / 4
LCM(708,313,640) = 35456640
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 183/708, 745/313, 175/640?
Answer: GCF of Numerators as per given numbers 183/708, 745/313, 175/640 is
GCF of Numerators i.e. for 183,745,175 is 1
LCM of denominators i.e. for 708,313,640 is 35456640.
Thus, GCF of Fractions is 1/35456640.Finally, GCF of Fractions for 183/708, 745/313, 175/640 is 1/35456640.