Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 470/962,747/886,934/779
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 470,747,934
Greatest Common Factor of Numerators i.e. GCF of 470,747,934 is 1 .
LCM of Denominators means LCM of 962,886,779 as per the given fractions.
LCM of 962,886,779 is 331983314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 470,747,934
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Greatest Common Factor
We found the factors 470,747,934 . The biggest common factor number is the GCF number.
So the greatest common factor 470,747,934 is 1.
Lets's calculate LCM of 962,886,779
2 | 962, 886, 779 |
481, 443, 779 |
∴ So the LCM of the given numbers is 2 x 481 x 443 x 779 = 331983314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331983314
Therefore, the GCF of Fractions 470/962,747/886,934/779 is 1/331983314
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 962,886,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,886,779) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(962,886,779) x common factors =1 x 2 = 2
LCM(962,886,779) = ( 962 × 886 × 779 ) / 2
LCM(962,886,779) = 663966628 / 2
LCM(962,886,779) = 331983314
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 470/962, 747/886, 934/779?
Answer: GCF of Numerators as per given numbers 470/962, 747/886, 934/779 is
GCF of Numerators i.e. for 470,747,934 is 1
LCM of denominators i.e. for 962,886,779 is 331983314.
Thus, GCF of Fractions is 1/331983314.Finally, GCF of Fractions for 470/962, 747/886, 934/779 is 1/331983314.