Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 845/862,281/237,773/291
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 845,281,773
Greatest Common Factor of Numerators i.e. GCF of 845,281,773 is 1 .
LCM of Denominators means LCM of 862,237,291 as per the given fractions.
LCM of 862,237,291 is 19816518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 845,281,773
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Greatest Common Factor
We found the factors 845,281,773 . The biggest common factor number is the GCF number.
So the greatest common factor 845,281,773 is 1.
Lets's calculate LCM of 862,237,291
3 | 862, 237, 291 |
862, 79, 97 |
∴ So the LCM of the given numbers is 3 x 862 x 79 x 97 = 19816518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19816518
Therefore, the GCF of Fractions 845/862,281/237,773/291 is 1/19816518
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 862,237,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,237,291) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(862,237,291) x common factors =1 x 3 = 3
LCM(862,237,291) = ( 862 × 237 × 291 ) / 3
LCM(862,237,291) = 59449554 / 3
LCM(862,237,291) = 19816518
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 845/862, 281/237, 773/291?
Answer: GCF of Numerators as per given numbers 845/862, 281/237, 773/291 is
GCF of Numerators i.e. for 845,281,773 is 1
LCM of denominators i.e. for 862,237,291 is 19816518.
Thus, GCF of Fractions is 1/19816518.Finally, GCF of Fractions for 845/862, 281/237, 773/291 is 1/19816518.