Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 923/670,986/710
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 923,986
Greatest Common Factor of Numerators i.e. GCF of 923,986 is 1 .
LCM of Denominators means LCM of 670,710 as per the given fractions.
LCM of 670,710 is 47570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 923,986
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
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 923,986 . The biggest common factor number is the GCF number.
So the greatest common factor 923,986 is 1.
Lets's calculate LCM of 670,710
2 | 670, 710 |
5 | 335, 355 |
67, 71 |
∴ So the LCM of the given numbers is 2 x 5 x 67 x 71 = 47570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47570
Therefore, the GCF of Fractions 923/670,986/710 is 1/47570
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 670,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,710) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(670,710) x common factors =10 x 1 = 10
LCM(670,710) = ( 670 × 710 ) / 10
LCM(670,710) = 475700 / 10
LCM(670,710) = 47570
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 923/670, 986/710?
Answer: GCF of Numerators as per given numbers 923/670, 986/710 is
GCF of Numerators i.e. for 923,986 is 1
LCM of denominators i.e. for 670,710 is 47570.
Thus, GCF of Fractions is 1/47570.Finally, GCF of Fractions for 923/670, 986/710 is 1/47570.