Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/17,94/19,92/974
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 76,94,92
Greatest Common Factor of Numerators i.e. GCF of 76,94,92 is 2 .
LCM of Denominators means LCM of 17,19,974 as per the given fractions.
LCM of 17,19,974 is 314602 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 76,94,92
2 | 76, 94, 92 |
38, 47, 46 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Greatest Common Factor
We found the factors 76,94,92 . The biggest common factor number is the GCF number.
So the greatest common factor 76,94,92 is 2.
Lets's calculate LCM of 17,19,974
Given numbers has no common factors except 1. So, there LCM is their product i.e 314602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/314602
Therefore, the GCF of Fractions 76/17,94/19,92/974 is 2/314602
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 17,19,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,19,974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,19,974) x common factors =1 x 1 = 1
LCM(17,19,974) = ( 17 × 19 × 974 ) / 1
LCM(17,19,974) = 314602 / 1
LCM(17,19,974) = 314602
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 76/17, 94/19, 92/974?
Answer: GCF of Numerators as per given numbers 76/17, 94/19, 92/974 is
GCF of Numerators i.e. for 76,94,92 is 2
LCM of denominators i.e. for 17,19,974 is 314602.
Thus, GCF of Fractions is 2/314602.Finally, GCF of Fractions for 76/17, 94/19, 92/974 is 2/314602.