Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 511/896,571/775,865/608
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 511,571,865
Greatest Common Factor of Numerators i.e. GCF of 511,571,865 is 1 .
LCM of Denominators means LCM of 896,775,608 as per the given fractions.
LCM of 896,775,608 is 13193600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 511,571,865
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Greatest Common Factor
We found the factors 511,571,865 . The biggest common factor number is the GCF number.
So the greatest common factor 511,571,865 is 1.
Lets's calculate LCM of 896,775,608
2 | 896, 775, 608 |
2 | 448, 775, 304 |
2 | 224, 775, 152 |
2 | 112, 775, 76 |
2 | 56, 775, 38 |
28, 775, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 28 x 775 x 19 = 13193600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13193600
Therefore, the GCF of Fractions 511/896,571/775,865/608 is 1/13193600
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 896,775,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,775,608) = 1
common factors(in case of two or more numbers have common factors) = 32
GCF(896,775,608) x common factors =1 x 32 = 32
LCM(896,775,608) = ( 896 × 775 × 608 ) / 32
LCM(896,775,608) = 422195200 / 32
LCM(896,775,608) = 13193600
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 511/896, 571/775, 865/608?
Answer: GCF of Numerators as per given numbers 511/896, 571/775, 865/608 is
GCF of Numerators i.e. for 511,571,865 is 1
LCM of denominators i.e. for 896,775,608 is 13193600.
Thus, GCF of Fractions is 1/13193600.Finally, GCF of Fractions for 511/896, 571/775, 865/608 is 1/13193600.