Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 488/716,735/789
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 488,735
Greatest Common Factor of Numerators i.e. GCF of 488,735 is 1 .
LCM of Denominators means LCM of 716,789 as per the given fractions.
LCM of 716,789 is 564924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 488,735
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 488,735 . The biggest common factor number is the GCF number.
So the greatest common factor 488,735 is 1.
Lets's calculate LCM of 716,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 564924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/564924
Therefore, the GCF of Fractions 488/716,735/789 is 1/564924
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 716,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(716,789) x common factors =1 x 1 = 1
LCM(716,789) = ( 716 × 789 ) / 1
LCM(716,789) = 564924 / 1
LCM(716,789) = 564924
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 488/716, 735/789?
Answer: GCF of Numerators as per given numbers 488/716, 735/789 is
GCF of Numerators i.e. for 488,735 is 1
LCM of denominators i.e. for 716,789 is 564924.
Thus, GCF of Fractions is 1/564924.Finally, GCF of Fractions for 488/716, 735/789 is 1/564924.