Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 770/69,758/11,734/253
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 770,758,734
Greatest Common Factor of Numerators i.e. GCF of 770,758,734 is 2 .
LCM of Denominators means LCM of 69,11,253 as per the given fractions.
LCM of 69,11,253 is 759 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 770,758,734
2 | 770, 758, 734 |
385, 379, 367 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Greatest Common Factor
We found the factors 770,758,734 . The biggest common factor number is the GCF number.
So the greatest common factor 770,758,734 is 2.
Lets's calculate LCM of 69,11,253
11 | 69, 11, 253 |
23 | 69, 1, 23 |
3, 1, 1 |
∴ So the LCM of the given numbers is 11 x 23 x 3 x 1 x 1 = 759
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/759
Therefore, the GCF of Fractions 770/69,758/11,734/253 is 2/759
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 69,11,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,11,253) = 1
common factors(in case of two or more numbers have common factors) = 253
GCF(69,11,253) x common factors =1 x 253 = 253
LCM(69,11,253) = ( 69 × 11 × 253 ) / 253
LCM(69,11,253) = 192027 / 253
LCM(69,11,253) = 759
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 770/69, 758/11, 734/253?
Answer: GCF of Numerators as per given numbers 770/69, 758/11, 734/253 is
GCF of Numerators i.e. for 770,758,734 is 2
LCM of denominators i.e. for 69,11,253 is 759.
Thus, GCF of Fractions is 2/759.Finally, GCF of Fractions for 770/69, 758/11, 734/253 is 2/759.