Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 152/174,8533/242
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 152,8533
Greatest Common Factor of Numerators i.e. GCF of 152,8533 is 1 .
LCM of Denominators means LCM of 174,242 as per the given fractions.
LCM of 174,242 is 21054 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 152,8533
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 8533
List of positive integer factors of 8533 that divides 8533 without a remainder.
1,7,23,53,161,371,1219,8533
Greatest Common Factor
We found the factors 152,8533 . The biggest common factor number is the GCF number.
So the greatest common factor 152,8533 is 1.
Lets's calculate LCM of 174,242
2 | 174, 242 |
87, 121 |
∴ So the LCM of the given numbers is 2 x 87 x 121 = 21054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21054
Therefore, the GCF of Fractions 152/174,8533/242 is 1/21054
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 174,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,242) x common factors =2 x 1 = 2
LCM(174,242) = ( 174 × 242 ) / 2
LCM(174,242) = 42108 / 2
LCM(174,242) = 21054
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 152/174, 8533/242?
Answer: GCF of Numerators as per given numbers 152/174, 8533/242 is
GCF of Numerators i.e. for 152,8533 is 1
LCM of denominators i.e. for 174,242 is 21054.
Thus, GCF of Fractions is 1/21054.Finally, GCF of Fractions for 152/174, 8533/242 is 1/21054.