Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/588,676/681,187/735
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 97,676,187
Greatest Common Factor of Numerators i.e. GCF of 97,676,187 is 1 .
LCM of Denominators means LCM of 588,681,735 as per the given fractions.
LCM of 588,681,735 is 667380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 97,676,187
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Greatest Common Factor
We found the factors 97,676,187 . The biggest common factor number is the GCF number.
So the greatest common factor 97,676,187 is 1.
Lets's calculate LCM of 588,681,735
3 | 588, 681, 735 |
7 | 196, 227, 245 |
7 | 28, 227, 35 |
4, 227, 5 |
∴ So the LCM of the given numbers is 3 x 7 x 7 x 4 x 227 x 5 = 667380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/667380
Therefore, the GCF of Fractions 97/588,676/681,187/735 is 1/667380
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 588,681,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,681,735) = 3
common factors(in case of two or more numbers have common factors) = 147
GCF(588,681,735) x common factors =3 x 147 = 441
LCM(588,681,735) = ( 588 × 681 × 735 ) / 441
LCM(588,681,735) = 294314580 / 441
LCM(588,681,735) = 667380
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 97/588, 676/681, 187/735?
Answer: GCF of Numerators as per given numbers 97/588, 676/681, 187/735 is
GCF of Numerators i.e. for 97,676,187 is 1
LCM of denominators i.e. for 588,681,735 is 667380.
Thus, GCF of Fractions is 1/667380.Finally, GCF of Fractions for 97/588, 676/681, 187/735 is 1/667380.