Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 432/6874,936/7073
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 432,936
Greatest Common Factor of Numerators i.e. GCF of 432,936 is 72 .
LCM of Denominators means LCM of 6874,7073 as per the given fractions.
LCM of 6874,7073 is 48619802 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 432,936
2 | 432, 936 |
2 | 216, 468 |
2 | 108, 234 |
3 | 54, 117 |
3 | 18, 39 |
6, 13 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
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
Greatest Common Factor
We found the factors 432,936 . The biggest common factor number is the GCF number.
So the greatest common factor 432,936 is 72.
Lets's calculate LCM of 6874,7073
Given numbers has no common factors except 1. So, there LCM is their product i.e 48619802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/48619802
Therefore, the GCF of Fractions 432/6874,936/7073 is 72/48619802
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 6874,7073 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6874,7073) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6874,7073) x common factors =1 x 1 = 1
LCM(6874,7073) = ( 6874 × 7073 ) / 1
LCM(6874,7073) = 48619802 / 1
LCM(6874,7073) = 48619802
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 432/6874, 936/7073?
Answer: GCF of Numerators as per given numbers 432/6874, 936/7073 is
GCF of Numerators i.e. for 432,936 is 72
LCM of denominators i.e. for 6874,7073 is 48619802.
Thus, GCF of Fractions is 72/48619802.Finally, GCF of Fractions for 432/6874, 936/7073 is 72/48619802.