Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/70,86/25,24/425,488/586
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 6,86,24,488
Greatest Common Factor of Numerators i.e. GCF of 6,86,24,488 is 2 .
LCM of Denominators means LCM of 70,25,425,586 as per the given fractions.
LCM of 70,25,425,586 is 1743350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,86,24,488
2 | 6, 86, 24, 488 |
3, 43, 12, 244 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 6,86,24,488 . The biggest common factor number is the GCF number.
So the greatest common factor 6,86,24,488 is 2.
Lets's calculate LCM of 70,25,425,586
2 | 70, 25, 425, 586 |
5 | 35, 25, 425, 293 |
5 | 7, 5, 85, 293 |
7, 1, 17, 293 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 7 x 1 x 17 x 293 = 1743350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1743350
Therefore, the GCF of Fractions 6/70,86/25,24/425,488/586 is 2/1743350
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 70,25,425,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,25,425,586) = 1
common factors(in case of two or more numbers have common factors) = 250
GCF(70,25,425,586) x common factors =1 x 250 = 250
LCM(70,25,425,586) = ( 70 × 25 × 425 × 586 ) / 250
LCM(70,25,425,586) = 435837500 / 250
LCM(70,25,425,586) = 1743350
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 6/70, 86/25, 24/425, 488/586?
Answer: GCF of Numerators as per given numbers 6/70, 86/25, 24/425, 488/586 is
GCF of Numerators i.e. for 6,86,24,488 is 2
LCM of denominators i.e. for 70,25,425,586 is 1743350.
Thus, GCF of Fractions is 2/1743350.Finally, GCF of Fractions for 6/70, 86/25, 24/425, 488/586 is 2/1743350.