Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/15,752/35,954/253
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 70,752,954
Greatest Common Factor of Numerators i.e. GCF of 70,752,954 is 2 .
LCM of Denominators means LCM of 15,35,253 as per the given fractions.
LCM of 15,35,253 is 26565 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,752,954
2 | 70, 752, 954 |
35, 376, 477 |
∴ 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 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 70,752,954 . The biggest common factor number is the GCF number.
So the greatest common factor 70,752,954 is 2.
Lets's calculate LCM of 15,35,253
5 | 15, 35, 253 |
3, 7, 253 |
∴ So the LCM of the given numbers is 5 x 3 x 7 x 253 = 26565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26565
Therefore, the GCF of Fractions 70/15,752/35,954/253 is 2/26565
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 15,35,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,35,253) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(15,35,253) x common factors =1 x 5 = 5
LCM(15,35,253) = ( 15 × 35 × 253 ) / 5
LCM(15,35,253) = 132825 / 5
LCM(15,35,253) = 26565
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 70/15, 752/35, 954/253?
Answer: GCF of Numerators as per given numbers 70/15, 752/35, 954/253 is
GCF of Numerators i.e. for 70,752,954 is 2
LCM of denominators i.e. for 15,35,253 is 26565.
Thus, GCF of Fractions is 2/26565.Finally, GCF of Fractions for 70/15, 752/35, 954/253 is 2/26565.