Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/86,44/18,770/829
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 69,44,770
Greatest Common Factor of Numerators i.e. GCF of 69,44,770 is 1 .
LCM of Denominators means LCM of 86,18,829 as per the given fractions.
LCM of 86,18,829 is 641646 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 69,44,770
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
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
Greatest Common Factor
We found the factors 69,44,770 . The biggest common factor number is the GCF number.
So the greatest common factor 69,44,770 is 1.
Lets's calculate LCM of 86,18,829
2 | 86, 18, 829 |
43, 9, 829 |
∴ So the LCM of the given numbers is 2 x 43 x 9 x 829 = 641646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/641646
Therefore, the GCF of Fractions 69/86,44/18,770/829 is 1/641646
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 86,18,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,18,829) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,18,829) x common factors =1 x 2 = 2
LCM(86,18,829) = ( 86 × 18 × 829 ) / 2
LCM(86,18,829) = 1283292 / 2
LCM(86,18,829) = 641646
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 69/86, 44/18, 770/829?
Answer: GCF of Numerators as per given numbers 69/86, 44/18, 770/829 is
GCF of Numerators i.e. for 69,44,770 is 1
LCM of denominators i.e. for 86,18,829 is 641646.
Thus, GCF of Fractions is 1/641646.Finally, GCF of Fractions for 69/86, 44/18, 770/829 is 1/641646.