Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/963,271/493,774/749
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 70,271,774
Greatest Common Factor of Numerators i.e. GCF of 70,271,774 is 1 .
LCM of Denominators means LCM of 963,493,749 as per the given fractions.
LCM of 963,493,749 is 3323313 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,271,774
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 70,271,774 . The biggest common factor number is the GCF number.
So the greatest common factor 70,271,774 is 1.
Lets's calculate LCM of 963,493,749
107 | 963, 493, 749 |
9, 493, 7 |
∴ So the LCM of the given numbers is 107 x 9 x 493 x 7 = 3323313
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3323313
Therefore, the GCF of Fractions 70/963,271/493,774/749 is 1/3323313
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 963,493,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,493,749) = 1
common factors(in case of two or more numbers have common factors) = 107
GCF(963,493,749) x common factors =1 x 107 = 107
LCM(963,493,749) = ( 963 × 493 × 749 ) / 107
LCM(963,493,749) = 355594491 / 107
LCM(963,493,749) = 3323313
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 70/963, 271/493, 774/749?
Answer: GCF of Numerators as per given numbers 70/963, 271/493, 774/749 is
GCF of Numerators i.e. for 70,271,774 is 1
LCM of denominators i.e. for 963,493,749 is 3323313.
Thus, GCF of Fractions is 1/3323313.Finally, GCF of Fractions for 70/963, 271/493, 774/749 is 1/3323313.