Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 10/14,770/69,290/94
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 10,770,290
Greatest Common Factor of Numerators i.e. GCF of 10,770,290 is 10 .
LCM of Denominators means LCM of 14,69,94 as per the given fractions.
LCM of 14,69,94 is 45402 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 10,770,290
2 | 10, 770, 290 |
5 | 5, 385, 145 |
1, 77, 29 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
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 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 10,770,290 . The biggest common factor number is the GCF number.
So the greatest common factor 10,770,290 is 10.
Lets's calculate LCM of 14,69,94
2 | 14, 69, 94 |
7, 69, 47 |
∴ So the LCM of the given numbers is 2 x 7 x 69 x 47 = 45402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/45402
Therefore, the GCF of Fractions 10/14,770/69,290/94 is 10/45402
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 14,69,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,69,94) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(14,69,94) x common factors =1 x 2 = 2
LCM(14,69,94) = ( 14 × 69 × 94 ) / 2
LCM(14,69,94) = 90804 / 2
LCM(14,69,94) = 45402
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 10/14, 770/69, 290/94?
Answer: GCF of Numerators as per given numbers 10/14, 770/69, 290/94 is
GCF of Numerators i.e. for 10,770,290 is 10
LCM of denominators i.e. for 14,69,94 is 45402.
Thus, GCF of Fractions is 10/45402.Finally, GCF of Fractions for 10/14, 770/69, 290/94 is 10/45402.