Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 140/58,304/14,699/922
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 140,304,699
Greatest Common Factor of Numerators i.e. GCF of 140,304,699 is 1 .
LCM of Denominators means LCM of 58,14,922 as per the given fractions.
LCM of 58,14,922 is 187166 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 140,304,699
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 140,304,699 . The biggest common factor number is the GCF number.
So the greatest common factor 140,304,699 is 1.
Lets's calculate LCM of 58,14,922
2 | 58, 14, 922 |
29, 7, 461 |
∴ So the LCM of the given numbers is 2 x 29 x 7 x 461 = 187166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187166
Therefore, the GCF of Fractions 140/58,304/14,699/922 is 1/187166
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 58,14,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,14,922) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(58,14,922) x common factors =2 x 2 = 4
LCM(58,14,922) = ( 58 × 14 × 922 ) / 4
LCM(58,14,922) = 748664 / 4
LCM(58,14,922) = 187166
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 140/58, 304/14, 699/922?
Answer: GCF of Numerators as per given numbers 140/58, 304/14, 699/922 is
GCF of Numerators i.e. for 140,304,699 is 1
LCM of denominators i.e. for 58,14,922 is 187166.
Thus, GCF of Fractions is 1/187166.Finally, GCF of Fractions for 140/58, 304/14, 699/922 is 1/187166.