Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 737/528,7228/3500
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 737,7228
Greatest Common Factor of Numerators i.e. GCF of 737,7228 is 1 .
LCM of Denominators means LCM of 528,3500 as per the given fractions.
LCM of 528,3500 is 462000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 737,7228
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 7228
List of positive integer factors of 7228 that divides 7228 without a remainder.
1,2,4,13,26,52,139,278,556,1807,3614,7228
Greatest Common Factor
We found the factors 737,7228 . The biggest common factor number is the GCF number.
So the greatest common factor 737,7228 is 1.
Lets's calculate LCM of 528,3500
2 | 528, 3500 |
2 | 264, 1750 |
132, 875 |
∴ So the LCM of the given numbers is 2 x 2 x 132 x 875 = 462000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462000
Therefore, the GCF of Fractions 737/528,7228/3500 is 1/462000
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 528,3500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,3500) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(528,3500) x common factors =4 x 1 = 4
LCM(528,3500) = ( 528 × 3500 ) / 4
LCM(528,3500) = 1848000 / 4
LCM(528,3500) = 462000
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 737/528, 7228/3500?
Answer: GCF of Numerators as per given numbers 737/528, 7228/3500 is
GCF of Numerators i.e. for 737,7228 is 1
LCM of denominators i.e. for 528,3500 is 462000.
Thus, GCF of Fractions is 1/462000.Finally, GCF of Fractions for 737/528, 7228/3500 is 1/462000.