Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/28,319/39,711/780
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 65,319,711
Greatest Common Factor of Numerators i.e. GCF of 65,319,711 is 1 .
LCM of Denominators means LCM of 28,39,780 as per the given fractions.
LCM of 28,39,780 is 5460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 65,319,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Greatest Common Factor
We found the factors 65,319,711 . The biggest common factor number is the GCF number.
So the greatest common factor 65,319,711 is 1.
Lets's calculate LCM of 28,39,780
2 | 28, 39, 780 |
2 | 14, 39, 390 |
3 | 7, 39, 195 |
13 | 7, 13, 65 |
7, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 7 x 1 x 5 = 5460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5460
Therefore, the GCF of Fractions 65/28,319/39,711/780 is 1/5460
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 28,39,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,39,780) = 1
common factors(in case of two or more numbers have common factors) = 156
GCF(28,39,780) x common factors =1 x 156 = 156
LCM(28,39,780) = ( 28 × 39 × 780 ) / 156
LCM(28,39,780) = 851760 / 156
LCM(28,39,780) = 5460
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 65/28, 319/39, 711/780?
Answer: GCF of Numerators as per given numbers 65/28, 319/39, 711/780 is
GCF of Numerators i.e. for 65,319,711 is 1
LCM of denominators i.e. for 28,39,780 is 5460.
Thus, GCF of Fractions is 1/5460.Finally, GCF of Fractions for 65/28, 319/39, 711/780 is 1/5460.