Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 673/63,982/99,548/745
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 673,982,548
Greatest Common Factor of Numerators i.e. GCF of 673,982,548 is 1 .
LCM of Denominators means LCM of 63,99,745 as per the given fractions.
LCM of 63,99,745 is 516285 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 673,982,548
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Greatest Common Factor
We found the factors 673,982,548 . The biggest common factor number is the GCF number.
So the greatest common factor 673,982,548 is 1.
Lets's calculate LCM of 63,99,745
3 | 63, 99, 745 |
3 | 21, 33, 745 |
7, 11, 745 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 11 x 745 = 516285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516285
Therefore, the GCF of Fractions 673/63,982/99,548/745 is 1/516285
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 63,99,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,99,745) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(63,99,745) x common factors =1 x 9 = 9
LCM(63,99,745) = ( 63 × 99 × 745 ) / 9
LCM(63,99,745) = 4646565 / 9
LCM(63,99,745) = 516285
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 673/63, 982/99, 548/745?
Answer: GCF of Numerators as per given numbers 673/63, 982/99, 548/745 is
GCF of Numerators i.e. for 673,982,548 is 1
LCM of denominators i.e. for 63,99,745 is 516285.
Thus, GCF of Fractions is 1/516285.Finally, GCF of Fractions for 673/63, 982/99, 548/745 is 1/516285.