Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 936/748,7664/795
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 936,7664
Greatest Common Factor of Numerators i.e. GCF of 936,7664 is 8 .
LCM of Denominators means LCM of 748,795 as per the given fractions.
LCM of 748,795 is 594660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 936,7664
2 | 936, 7664 |
2 | 468, 3832 |
2 | 234, 1916 |
117, 958 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Factors of 7664
List of positive integer factors of 7664 that divides 7664 without a remainder.
1,2,4,8,16,479,958,1916,3832,7664
Greatest Common Factor
We found the factors 936,7664 . The biggest common factor number is the GCF number.
So the greatest common factor 936,7664 is 8.
Lets's calculate LCM of 748,795
Given numbers has no common factors except 1. So, there LCM is their product i.e 594660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/594660
Therefore, the GCF of Fractions 936/748,7664/795 is 8/594660
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 748,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(748,795) x common factors =1 x 1 = 1
LCM(748,795) = ( 748 × 795 ) / 1
LCM(748,795) = 594660 / 1
LCM(748,795) = 594660
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 936/748, 7664/795?
Answer: GCF of Numerators as per given numbers 936/748, 7664/795 is
GCF of Numerators i.e. for 936,7664 is 8
LCM of denominators i.e. for 748,795 is 594660.
Thus, GCF of Fractions is 8/594660.Finally, GCF of Fractions for 936/748, 7664/795 is 8/594660.