Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/75,58/207,714/114
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 70,58,714
Greatest Common Factor of Numerators i.e. GCF of 70,58,714 is 2 .
LCM of Denominators means LCM of 75,207,114 as per the given fractions.
LCM of 75,207,114 is 196650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,58,714
2 | 70, 58, 714 |
35, 29, 357 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 70,58,714 . The biggest common factor number is the GCF number.
So the greatest common factor 70,58,714 is 2.
Lets's calculate LCM of 75,207,114
3 | 75, 207, 114 |
25, 69, 38 |
∴ So the LCM of the given numbers is 3 x 25 x 69 x 38 = 196650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/196650
Therefore, the GCF of Fractions 70/75,58/207,714/114 is 2/196650
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 75,207,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,207,114) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(75,207,114) x common factors =3 x 3 = 9
LCM(75,207,114) = ( 75 × 207 × 114 ) / 9
LCM(75,207,114) = 1769850 / 9
LCM(75,207,114) = 196650
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 70/75, 58/207, 714/114?
Answer: GCF of Numerators as per given numbers 70/75, 58/207, 714/114 is
GCF of Numerators i.e. for 70,58,714 is 2
LCM of denominators i.e. for 75,207,114 is 196650.
Thus, GCF of Fractions is 2/196650.Finally, GCF of Fractions for 70/75, 58/207, 714/114 is 2/196650.