Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 492/973,386/536,188/266
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 492,386,188
Greatest Common Factor of Numerators i.e. GCF of 492,386,188 is 2 .
LCM of Denominators means LCM of 973,536,266 as per the given fractions.
LCM of 973,536,266 is 9909032 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 492,386,188
2 | 492, 386, 188 |
246, 193, 94 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Greatest Common Factor
We found the factors 492,386,188 . The biggest common factor number is the GCF number.
So the greatest common factor 492,386,188 is 2.
Lets's calculate LCM of 973,536,266
2 | 973, 536, 266 |
7 | 973, 268, 133 |
139, 268, 19 |
∴ So the LCM of the given numbers is 2 x 7 x 139 x 268 x 19 = 9909032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9909032
Therefore, the GCF of Fractions 492/973,386/536,188/266 is 2/9909032
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 973,536,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,536,266) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(973,536,266) x common factors =1 x 14 = 14
LCM(973,536,266) = ( 973 × 536 × 266 ) / 14
LCM(973,536,266) = 138726448 / 14
LCM(973,536,266) = 9909032
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 492/973, 386/536, 188/266?
Answer: GCF of Numerators as per given numbers 492/973, 386/536, 188/266 is
GCF of Numerators i.e. for 492,386,188 is 2
LCM of denominators i.e. for 973,536,266 is 9909032.
Thus, GCF of Fractions is 2/9909032.Finally, GCF of Fractions for 492/973, 386/536, 188/266 is 2/9909032.