Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 683/842,294/775,218/726
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 683,294,218
Greatest Common Factor of Numerators i.e. GCF of 683,294,218 is 1 .
LCM of Denominators means LCM of 842,775,726 as per the given fractions.
LCM of 842,775,726 is 236875650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 683,294,218
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 683,294,218 . The biggest common factor number is the GCF number.
So the greatest common factor 683,294,218 is 1.
Lets's calculate LCM of 842,775,726
2 | 842, 775, 726 |
421, 775, 363 |
∴ So the LCM of the given numbers is 2 x 421 x 775 x 363 = 236875650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236875650
Therefore, the GCF of Fractions 683/842,294/775,218/726 is 1/236875650
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 842,775,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,775,726) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(842,775,726) x common factors =1 x 2 = 2
LCM(842,775,726) = ( 842 × 775 × 726 ) / 2
LCM(842,775,726) = 473751300 / 2
LCM(842,775,726) = 236875650
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 683/842, 294/775, 218/726?
Answer: GCF of Numerators as per given numbers 683/842, 294/775, 218/726 is
GCF of Numerators i.e. for 683,294,218 is 1
LCM of denominators i.e. for 842,775,726 is 236875650.
Thus, GCF of Fractions is 1/236875650.Finally, GCF of Fractions for 683/842, 294/775, 218/726 is 1/236875650.