Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 717/982,738/804,731/624
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 717,738,731
Greatest Common Factor of Numerators i.e. GCF of 717,738,731 is 1 .
LCM of Denominators means LCM of 982,804,624 as per the given fractions.
LCM of 982,804,624 is 20527728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 717,738,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Greatest Common Factor
We found the factors 717,738,731 . The biggest common factor number is the GCF number.
So the greatest common factor 717,738,731 is 1.
Lets's calculate LCM of 982,804,624
2 | 982, 804, 624 |
2 | 491, 402, 312 |
3 | 491, 201, 156 |
491, 67, 52 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 491 x 67 x 52 = 20527728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20527728
Therefore, the GCF of Fractions 717/982,738/804,731/624 is 1/20527728
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 982,804,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,804,624) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(982,804,624) x common factors =2 x 12 = 24
LCM(982,804,624) = ( 982 × 804 × 624 ) / 24
LCM(982,804,624) = 492665472 / 24
LCM(982,804,624) = 20527728
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 717/982, 738/804, 731/624?
Answer: GCF of Numerators as per given numbers 717/982, 738/804, 731/624 is
GCF of Numerators i.e. for 717,738,731 is 1
LCM of denominators i.e. for 982,804,624 is 20527728.
Thus, GCF of Fractions is 1/20527728.Finally, GCF of Fractions for 717/982, 738/804, 731/624 is 1/20527728.