Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 982/92,491/60,121/343
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 982,491,121
Greatest Common Factor of Numerators i.e. GCF of 982,491,121 is 1 .
LCM of Denominators means LCM of 92,60,343 as per the given fractions.
LCM of 92,60,343 is 473340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 982,491,121
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 982,491,121 . The biggest common factor number is the GCF number.
So the greatest common factor 982,491,121 is 1.
Lets's calculate LCM of 92,60,343
2 | 92, 60, 343 |
2 | 46, 30, 343 |
23, 15, 343 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 15 x 343 = 473340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/473340
Therefore, the GCF of Fractions 982/92,491/60,121/343 is 1/473340
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 92,60,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,60,343) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(92,60,343) x common factors =1 x 4 = 4
LCM(92,60,343) = ( 92 × 60 × 343 ) / 4
LCM(92,60,343) = 1893360 / 4
LCM(92,60,343) = 473340
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 982/92, 491/60, 121/343?
Answer: GCF of Numerators as per given numbers 982/92, 491/60, 121/343 is
GCF of Numerators i.e. for 982,491,121 is 1
LCM of denominators i.e. for 92,60,343 is 473340.
Thus, GCF of Fractions is 1/473340.Finally, GCF of Fractions for 982/92, 491/60, 121/343 is 1/473340.