Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 771/709,587/560,864/228
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 771,587,864
Greatest Common Factor of Numerators i.e. GCF of 771,587,864 is 1 .
LCM of Denominators means LCM of 709,560,228 as per the given fractions.
LCM of 709,560,228 is 22631280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 771,587,864
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Greatest Common Factor
We found the factors 771,587,864 . The biggest common factor number is the GCF number.
So the greatest common factor 771,587,864 is 1.
Lets's calculate LCM of 709,560,228
2 | 709, 560, 228 |
2 | 709, 280, 114 |
709, 140, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 709 x 140 x 57 = 22631280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22631280
Therefore, the GCF of Fractions 771/709,587/560,864/228 is 1/22631280
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 709,560,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,560,228) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(709,560,228) x common factors =1 x 4 = 4
LCM(709,560,228) = ( 709 × 560 × 228 ) / 4
LCM(709,560,228) = 90525120 / 4
LCM(709,560,228) = 22631280
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 771/709, 587/560, 864/228?
Answer: GCF of Numerators as per given numbers 771/709, 587/560, 864/228 is
GCF of Numerators i.e. for 771,587,864 is 1
LCM of denominators i.e. for 709,560,228 is 22631280.
Thus, GCF of Fractions is 1/22631280.Finally, GCF of Fractions for 771/709, 587/560, 864/228 is 1/22631280.