Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/292,371/910,998/140
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 97,371,998
Greatest Common Factor of Numerators i.e. GCF of 97,371,998 is 1 .
LCM of Denominators means LCM of 292,910,140 as per the given fractions.
LCM of 292,910,140 is 132860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 97,371,998
∴ 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 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Greatest Common Factor
We found the factors 97,371,998 . The biggest common factor number is the GCF number.
So the greatest common factor 97,371,998 is 1.
Lets's calculate LCM of 292,910,140
2 | 292, 910, 140 |
2 | 146, 455, 70 |
5 | 73, 455, 35 |
7 | 73, 91, 7 |
73, 13, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 73 x 13 x 1 = 132860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132860
Therefore, the GCF of Fractions 97/292,371/910,998/140 is 1/132860
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 292,910,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,910,140) = 2
common factors(in case of two or more numbers have common factors) = 140
GCF(292,910,140) x common factors =2 x 140 = 280
LCM(292,910,140) = ( 292 × 910 × 140 ) / 280
LCM(292,910,140) = 37200800 / 280
LCM(292,910,140) = 132860
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 97/292, 371/910, 998/140?
Answer: GCF of Numerators as per given numbers 97/292, 371/910, 998/140 is
GCF of Numerators i.e. for 97,371,998 is 1
LCM of denominators i.e. for 292,910,140 is 132860.
Thus, GCF of Fractions is 1/132860.Finally, GCF of Fractions for 97/292, 371/910, 998/140 is 1/132860.