Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 851/703,481/748
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 851,481
Greatest Common Factor of Numerators i.e. GCF of 851,481 is 37 .
LCM of Denominators means LCM of 703,748 as per the given fractions.
LCM of 703,748 is 525844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 851,481
37 | 851, 481 |
23, 13 |
∴ So the GCF of the given numbers is 37 = 37
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Greatest Common Factor
We found the factors 851,481 . The biggest common factor number is the GCF number.
So the greatest common factor 851,481 is 37.
Lets's calculate LCM of 703,748
Given numbers has no common factors except 1. So, there LCM is their product i.e 525844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/525844
Therefore, the GCF of Fractions 851/703,481/748 is 37/525844
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 703,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,748) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,748) x common factors =1 x 1 = 1
LCM(703,748) = ( 703 × 748 ) / 1
LCM(703,748) = 525844 / 1
LCM(703,748) = 525844
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 851/703, 481/748?
Answer: GCF of Numerators as per given numbers 851/703, 481/748 is
GCF of Numerators i.e. for 851,481 is 37
LCM of denominators i.e. for 703,748 is 525844.
Thus, GCF of Fractions is 37/525844.Finally, GCF of Fractions for 851/703, 481/748 is 37/525844.