Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 646/54,930/7811
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 646,930
Greatest Common Factor of Numerators i.e. GCF of 646,930 is 2 .
LCM of Denominators means LCM of 54,7811 as per the given fractions.
LCM of 54,7811 is 421794 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 646,930
2 | 646, 930 |
323, 465 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 646,930 . The biggest common factor number is the GCF number.
So the greatest common factor 646,930 is 2.
Lets's calculate LCM of 54,7811
Given numbers has no common factors except 1. So, there LCM is their product i.e 421794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/421794
Therefore, the GCF of Fractions 646/54,930/7811 is 2/421794
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 54,7811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,7811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,7811) x common factors =1 x 1 = 1
LCM(54,7811) = ( 54 × 7811 ) / 1
LCM(54,7811) = 421794 / 1
LCM(54,7811) = 421794
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 646/54, 930/7811?
Answer: GCF of Numerators as per given numbers 646/54, 930/7811 is
GCF of Numerators i.e. for 646,930 is 2
LCM of denominators i.e. for 54,7811 is 421794.
Thus, GCF of Fractions is 2/421794.Finally, GCF of Fractions for 646/54, 930/7811 is 2/421794.