Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/126,91/565,290/630
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 12,91,290
Greatest Common Factor of Numerators i.e. GCF of 12,91,290 is 1 .
LCM of Denominators means LCM of 126,565,630 as per the given fractions.
LCM of 126,565,630 is 71190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 12,91,290
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 12,91,290 . The biggest common factor number is the GCF number.
So the greatest common factor 12,91,290 is 1.
Lets's calculate LCM of 126,565,630
2 | 126, 565, 630 |
3 | 63, 565, 315 |
3 | 21, 565, 105 |
5 | 7, 565, 35 |
7 | 7, 113, 7 |
1, 113, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 1 x 113 x 1 = 71190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71190
Therefore, the GCF of Fractions 12/126,91/565,290/630 is 1/71190
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 126,565,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,565,630) = 1
common factors(in case of two or more numbers have common factors) = 630
GCF(126,565,630) x common factors =1 x 630 = 630
LCM(126,565,630) = ( 126 × 565 × 630 ) / 630
LCM(126,565,630) = 44849700 / 630
LCM(126,565,630) = 71190
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 12/126, 91/565, 290/630?
Answer: GCF of Numerators as per given numbers 12/126, 91/565, 290/630 is
GCF of Numerators i.e. for 12,91,290 is 1
LCM of denominators i.e. for 126,565,630 is 71190.
Thus, GCF of Fractions is 1/71190.Finally, GCF of Fractions for 12/126, 91/565, 290/630 is 1/71190.