Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/673,652/986,114/580
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 12,652,114
Greatest Common Factor of Numerators i.e. GCF of 12,652,114 is 2 .
LCM of Denominators means LCM of 673,986,580 as per the given fractions.
LCM of 673,986,580 is 6635780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 12,652,114
2 | 12, 652, 114 |
6, 326, 57 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 12,652,114 . The biggest common factor number is the GCF number.
So the greatest common factor 12,652,114 is 2.
Lets's calculate LCM of 673,986,580
2 | 673, 986, 580 |
29 | 673, 493, 290 |
673, 17, 10 |
∴ So the LCM of the given numbers is 2 x 29 x 673 x 17 x 10 = 6635780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6635780
Therefore, the GCF of Fractions 12/673,652/986,114/580 is 2/6635780
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 673,986,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,986,580) = 1
common factors(in case of two or more numbers have common factors) = 58
GCF(673,986,580) x common factors =1 x 58 = 58
LCM(673,986,580) = ( 673 × 986 × 580 ) / 58
LCM(673,986,580) = 384875240 / 58
LCM(673,986,580) = 6635780
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 12/673, 652/986, 114/580?
Answer: GCF of Numerators as per given numbers 12/673, 652/986, 114/580 is
GCF of Numerators i.e. for 12,652,114 is 2
LCM of denominators i.e. for 673,986,580 is 6635780.
Thus, GCF of Fractions is 2/6635780.Finally, GCF of Fractions for 12/673, 652/986, 114/580 is 2/6635780.