Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 571/776,843/884,349/688
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 571,843,349
Greatest Common Factor of Numerators i.e. GCF of 571,843,349 is 1 .
LCM of Denominators means LCM of 776,884,688 as per the given fractions.
LCM of 776,884,688 is 14748656 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 571,843,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 571,843,349 . The biggest common factor number is the GCF number.
So the greatest common factor 571,843,349 is 1.
Lets's calculate LCM of 776,884,688
2 | 776, 884, 688 |
2 | 388, 442, 344 |
2 | 194, 221, 172 |
97, 221, 86 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 97 x 221 x 86 = 14748656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14748656
Therefore, the GCF of Fractions 571/776,843/884,349/688 is 1/14748656
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 776,884,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,884,688) = 4
common factors(in case of two or more numbers have common factors) = 8
GCF(776,884,688) x common factors =4 x 8 = 32
LCM(776,884,688) = ( 776 × 884 × 688 ) / 32
LCM(776,884,688) = 471956992 / 32
LCM(776,884,688) = 14748656
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 571/776, 843/884, 349/688?
Answer: GCF of Numerators as per given numbers 571/776, 843/884, 349/688 is
GCF of Numerators i.e. for 571,843,349 is 1
LCM of denominators i.e. for 776,884,688 is 14748656.
Thus, GCF of Fractions is 1/14748656.Finally, GCF of Fractions for 571/776, 843/884, 349/688 is 1/14748656.