Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 495/722,110/787,986/586
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 495,110,986
Greatest Common Factor of Numerators i.e. GCF of 495,110,986 is 1 .
LCM of Denominators means LCM of 722,787,586 as per the given fractions.
LCM of 722,787,586 is 166486702 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 495,110,986
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 495,110,986 . The biggest common factor number is the GCF number.
So the greatest common factor 495,110,986 is 1.
Lets's calculate LCM of 722,787,586
2 | 722, 787, 586 |
361, 787, 293 |
∴ So the LCM of the given numbers is 2 x 361 x 787 x 293 = 166486702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166486702
Therefore, the GCF of Fractions 495/722,110/787,986/586 is 1/166486702
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 722,787,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,787,586) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(722,787,586) x common factors =1 x 2 = 2
LCM(722,787,586) = ( 722 × 787 × 586 ) / 2
LCM(722,787,586) = 332973404 / 2
LCM(722,787,586) = 166486702
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 495/722, 110/787, 986/586?
Answer: GCF of Numerators as per given numbers 495/722, 110/787, 986/586 is
GCF of Numerators i.e. for 495,110,986 is 1
LCM of denominators i.e. for 722,787,586 is 166486702.
Thus, GCF of Fractions is 1/166486702.Finally, GCF of Fractions for 495/722, 110/787, 986/586 is 1/166486702.