Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/95,96/41,42/261,490/646
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 6,96,42,490
Greatest Common Factor of Numerators i.e. GCF of 6,96,42,490 is 2 .
LCM of Denominators means LCM of 95,41,261,646 as per the given fractions.
LCM of 95,41,261,646 is 34564230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,96,42,490
2 | 6, 96, 42, 490 |
3, 48, 21, 245 |
∴ 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 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 6,96,42,490 . The biggest common factor number is the GCF number.
So the greatest common factor 6,96,42,490 is 2.
Lets's calculate LCM of 95,41,261,646
19 | 95, 41, 261, 646 |
5, 41, 261, 34 |
∴ So the LCM of the given numbers is 19 x 5 x 41 x 261 x 34 = 34564230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34564230
Therefore, the GCF of Fractions 6/95,96/41,42/261,490/646 is 2/34564230
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 95,41,261,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,41,261,646) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(95,41,261,646) x common factors =1 x 19 = 19
LCM(95,41,261,646) = ( 95 × 41 × 261 × 646 ) / 19
LCM(95,41,261,646) = 656720370 / 19
LCM(95,41,261,646) = 34564230
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 6/95, 96/41, 42/261, 490/646?
Answer: GCF of Numerators as per given numbers 6/95, 96/41, 42/261, 490/646 is
GCF of Numerators i.e. for 6,96,42,490 is 2
LCM of denominators i.e. for 95,41,261,646 is 34564230.
Thus, GCF of Fractions is 2/34564230.Finally, GCF of Fractions for 6/95, 96/41, 42/261, 490/646 is 2/34564230.