Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 936/35,696/7824
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 936,696
Greatest Common Factor of Numerators i.e. GCF of 936,696 is 24 .
LCM of Denominators means LCM of 35,7824 as per the given fractions.
LCM of 35,7824 is 273840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 936,696
2 | 936, 696 |
2 | 468, 348 |
2 | 234, 174 |
3 | 117, 87 |
39, 29 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
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 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 936,696 . The biggest common factor number is the GCF number.
So the greatest common factor 936,696 is 24.
Lets's calculate LCM of 35,7824
Given numbers has no common factors except 1. So, there LCM is their product i.e 273840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/273840
Therefore, the GCF of Fractions 936/35,696/7824 is 24/273840
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 35,7824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,7824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,7824) x common factors =1 x 1 = 1
LCM(35,7824) = ( 35 × 7824 ) / 1
LCM(35,7824) = 273840 / 1
LCM(35,7824) = 273840
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 936/35, 696/7824?
Answer: GCF of Numerators as per given numbers 936/35, 696/7824 is
GCF of Numerators i.e. for 936,696 is 24
LCM of denominators i.e. for 35,7824 is 273840.
Thus, GCF of Fractions is 24/273840.Finally, GCF of Fractions for 936/35, 696/7824 is 24/273840.