Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 709/64,279/48,872/560
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 709,279,872
Greatest Common Factor of Numerators i.e. GCF of 709,279,872 is 1 .
LCM of Denominators means LCM of 64,48,560 as per the given fractions.
LCM of 64,48,560 is 6720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 709,279,872
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 709,279,872 . The biggest common factor number is the GCF number.
So the greatest common factor 709,279,872 is 1.
Lets's calculate LCM of 64,48,560
2 | 64, 48, 560 |
2 | 32, 24, 280 |
2 | 16, 12, 140 |
2 | 8, 6, 70 |
4, 3, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 3 x 35 = 6720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6720
Therefore, the GCF of Fractions 709/64,279/48,872/560 is 1/6720
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 64,48,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,48,560) = 16
common factors(in case of two or more numbers have common factors) = 16
GCF(64,48,560) x common factors =16 x 16 = 256
LCM(64,48,560) = ( 64 × 48 × 560 ) / 256
LCM(64,48,560) = 1720320 / 256
LCM(64,48,560) = 6720
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 709/64, 279/48, 872/560?
Answer: GCF of Numerators as per given numbers 709/64, 279/48, 872/560 is
GCF of Numerators i.e. for 709,279,872 is 1
LCM of denominators i.e. for 64,48,560 is 6720.
Thus, GCF of Fractions is 1/6720.Finally, GCF of Fractions for 709/64, 279/48, 872/560 is 1/6720.