Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 947/140,953/833
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 947,953
Greatest Common Factor of Numerators i.e. GCF of 947,953 is 1 .
LCM of Denominators means LCM of 140,833 as per the given fractions.
LCM of 140,833 is 16660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 947,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Greatest Common Factor
We found the factors 947,953 . The biggest common factor number is the GCF number.
So the greatest common factor 947,953 is 1.
Lets's calculate LCM of 140,833
7 | 140, 833 |
20, 119 |
∴ So the LCM of the given numbers is 7 x 20 x 119 = 16660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16660
Therefore, the GCF of Fractions 947/140,953/833 is 1/16660
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 140,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,833) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(140,833) x common factors =7 x 1 = 7
LCM(140,833) = ( 140 × 833 ) / 7
LCM(140,833) = 116620 / 7
LCM(140,833) = 16660
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 947/140, 953/833?
Answer: GCF of Numerators as per given numbers 947/140, 953/833 is
GCF of Numerators i.e. for 947,953 is 1
LCM of denominators i.e. for 140,833 is 16660.
Thus, GCF of Fractions is 1/16660.Finally, GCF of Fractions for 947/140, 953/833 is 1/16660.