Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 706/980,4445/819
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 706,4445
Greatest Common Factor of Numerators i.e. GCF of 706,4445 is 1 .
LCM of Denominators means LCM of 980,819 as per the given fractions.
LCM of 980,819 is 114660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 706,4445
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 4445
List of positive integer factors of 4445 that divides 4445 without a remainder.
1,5,7,35,127,635,889,4445
Greatest Common Factor
We found the factors 706,4445 . The biggest common factor number is the GCF number.
So the greatest common factor 706,4445 is 1.
Lets's calculate LCM of 980,819
7 | 980, 819 |
140, 117 |
∴ So the LCM of the given numbers is 7 x 140 x 117 = 114660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114660
Therefore, the GCF of Fractions 706/980,4445/819 is 1/114660
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 980,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,819) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(980,819) x common factors =7 x 1 = 7
LCM(980,819) = ( 980 × 819 ) / 7
LCM(980,819) = 802620 / 7
LCM(980,819) = 114660
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 706/980, 4445/819?
Answer: GCF of Numerators as per given numbers 706/980, 4445/819 is
GCF of Numerators i.e. for 706,4445 is 1
LCM of denominators i.e. for 980,819 is 114660.
Thus, GCF of Fractions is 1/114660.Finally, GCF of Fractions for 706/980, 4445/819 is 1/114660.