Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7033/969,9285/152
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 7033,9285
Greatest Common Factor of Numerators i.e. GCF of 7033,9285 is 1 .
LCM of Denominators means LCM of 969,152 as per the given fractions.
LCM of 969,152 is 7752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7033,9285
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7033
List of positive integer factors of 7033 that divides 7033 without a remainder.
1,13,541,7033
Factors of 9285
List of positive integer factors of 9285 that divides 9285 without a remainder.
1,3,5,15,619,1857,3095,9285
Greatest Common Factor
We found the factors 7033,9285 . The biggest common factor number is the GCF number.
So the greatest common factor 7033,9285 is 1.
Lets's calculate LCM of 969,152
19 | 969, 152 |
51, 8 |
∴ So the LCM of the given numbers is 19 x 51 x 8 = 7752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7752
Therefore, the GCF of Fractions 7033/969,9285/152 is 1/7752
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 969,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,152) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(969,152) x common factors =19 x 1 = 19
LCM(969,152) = ( 969 × 152 ) / 19
LCM(969,152) = 147288 / 19
LCM(969,152) = 7752
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 7033/969, 9285/152?
Answer: GCF of Numerators as per given numbers 7033/969, 9285/152 is
GCF of Numerators i.e. for 7033,9285 is 1
LCM of denominators i.e. for 969,152 is 7752.
Thus, GCF of Fractions is 1/7752.Finally, GCF of Fractions for 7033/969, 9285/152 is 1/7752.