Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 175/128,4292/534
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 175,4292
Greatest Common Factor of Numerators i.e. GCF of 175,4292 is 1 .
LCM of Denominators means LCM of 128,534 as per the given fractions.
LCM of 128,534 is 34176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 175,4292
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Factors of 4292
List of positive integer factors of 4292 that divides 4292 without a remainder.
1,2,4,29,37,58,74,116,148,1073,2146,4292
Greatest Common Factor
We found the factors 175,4292 . The biggest common factor number is the GCF number.
So the greatest common factor 175,4292 is 1.
Lets's calculate LCM of 128,534
2 | 128, 534 |
64, 267 |
∴ So the LCM of the given numbers is 2 x 64 x 267 = 34176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34176
Therefore, the GCF of Fractions 175/128,4292/534 is 1/34176
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 128,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,534) x common factors =2 x 1 = 2
LCM(128,534) = ( 128 × 534 ) / 2
LCM(128,534) = 68352 / 2
LCM(128,534) = 34176
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 175/128, 4292/534?
Answer: GCF of Numerators as per given numbers 175/128, 4292/534 is
GCF of Numerators i.e. for 175,4292 is 1
LCM of denominators i.e. for 128,534 is 34176.
Thus, GCF of Fractions is 1/34176.Finally, GCF of Fractions for 175/128, 4292/534 is 1/34176.