Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/54,765/72,842/869
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 77,765,842
Greatest Common Factor of Numerators i.e. GCF of 77,765,842 is 1 .
LCM of Denominators means LCM of 54,72,869 as per the given fractions.
LCM of 54,72,869 is 187704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 77,765,842
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Greatest Common Factor
We found the factors 77,765,842 . The biggest common factor number is the GCF number.
So the greatest common factor 77,765,842 is 1.
Lets's calculate LCM of 54,72,869
2 | 54, 72, 869 |
3 | 27, 36, 869 |
3 | 9, 12, 869 |
3, 4, 869 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 4 x 869 = 187704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187704
Therefore, the GCF of Fractions 77/54,765/72,842/869 is 1/187704
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 54,72,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,72,869) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(54,72,869) x common factors =1 x 18 = 18
LCM(54,72,869) = ( 54 × 72 × 869 ) / 18
LCM(54,72,869) = 3378672 / 18
LCM(54,72,869) = 187704
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 77/54, 765/72, 842/869?
Answer: GCF of Numerators as per given numbers 77/54, 765/72, 842/869 is
GCF of Numerators i.e. for 77,765,842 is 1
LCM of denominators i.e. for 54,72,869 is 187704.
Thus, GCF of Fractions is 1/187704.Finally, GCF of Fractions for 77/54, 765/72, 842/869 is 1/187704.