Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1128/76,5179/232
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 1128,5179
Greatest Common Factor of Numerators i.e. GCF of 1128,5179 is 1 .
LCM of Denominators means LCM of 76,232 as per the given fractions.
LCM of 76,232 is 4408 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1128,5179
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1128
List of positive integer factors of 1128 that divides 1128 without a remainder.
1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128
Factors of 5179
List of positive integer factors of 5179 that divides 5179 without a remainder.
1,5179
Greatest Common Factor
We found the factors 1128,5179 . The biggest common factor number is the GCF number.
So the greatest common factor 1128,5179 is 1.
Lets's calculate LCM of 76,232
2 | 76, 232 |
2 | 38, 116 |
19, 58 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 58 = 4408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4408
Therefore, the GCF of Fractions 1128/76,5179/232 is 1/4408
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 76,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,232) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(76,232) x common factors =4 x 1 = 4
LCM(76,232) = ( 76 × 232 ) / 4
LCM(76,232) = 17632 / 4
LCM(76,232) = 4408
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 1128/76, 5179/232?
Answer: GCF of Numerators as per given numbers 1128/76, 5179/232 is
GCF of Numerators i.e. for 1128,5179 is 1
LCM of denominators i.e. for 76,232 is 4408.
Thus, GCF of Fractions is 1/4408.Finally, GCF of Fractions for 1128/76, 5179/232 is 1/4408.