Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 845/354,1064/316
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 845,1064
Greatest Common Factor of Numerators i.e. GCF of 845,1064 is 1 .
LCM of Denominators means LCM of 354,316 as per the given fractions.
LCM of 354,316 is 55932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 845,1064
∴ 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 1064
List of positive integer factors of 1064 that divides 1064 without a remainder.
1,2,4,7,8,14,19,28,38,56,76,133,152,266,532,1064
Greatest Common Factor
We found the factors 845,1064 . The biggest common factor number is the GCF number.
So the greatest common factor 845,1064 is 1.
Lets's calculate LCM of 354,316
2 | 354, 316 |
177, 158 |
∴ So the LCM of the given numbers is 2 x 177 x 158 = 55932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55932
Therefore, the GCF of Fractions 845/354,1064/316 is 1/55932
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 354,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,316) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,316) x common factors =2 x 1 = 2
LCM(354,316) = ( 354 × 316 ) / 2
LCM(354,316) = 111864 / 2
LCM(354,316) = 55932
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 845/354, 1064/316?
Answer: GCF of Numerators as per given numbers 845/354, 1064/316 is
GCF of Numerators i.e. for 845,1064 is 1
LCM of denominators i.e. for 354,316 is 55932.
Thus, GCF of Fractions is 1/55932.Finally, GCF of Fractions for 845/354, 1064/316 is 1/55932.