Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 783/87,881/30,970/739
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 783,881,970
Greatest Common Factor of Numerators i.e. GCF of 783,881,970 is 1 .
LCM of Denominators means LCM of 87,30,739 as per the given fractions.
LCM of 87,30,739 is 642930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 783,881,970
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Greatest Common Factor
We found the factors 783,881,970 . The biggest common factor number is the GCF number.
So the greatest common factor 783,881,970 is 1.
Lets's calculate LCM of 87,30,739
3 | 87, 30, 739 |
29, 10, 739 |
∴ So the LCM of the given numbers is 3 x 29 x 10 x 739 = 642930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/642930
Therefore, the GCF of Fractions 783/87,881/30,970/739 is 1/642930
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 87,30,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,30,739) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,30,739) x common factors =1 x 3 = 3
LCM(87,30,739) = ( 87 × 30 × 739 ) / 3
LCM(87,30,739) = 1928790 / 3
LCM(87,30,739) = 642930
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 783/87, 881/30, 970/739?
Answer: GCF of Numerators as per given numbers 783/87, 881/30, 970/739 is
GCF of Numerators i.e. for 783,881,970 is 1
LCM of denominators i.e. for 87,30,739 is 642930.
Thus, GCF of Fractions is 1/642930.Finally, GCF of Fractions for 783/87, 881/30, 970/739 is 1/642930.