Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/67,86/51,490/152
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 26,86,490
Greatest Common Factor of Numerators i.e. GCF of 26,86,490 is 2 .
LCM of Denominators means LCM of 67,51,152 as per the given fractions.
LCM of 67,51,152 is 519384 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,86,490
2 | 26, 86, 490 |
13, 43, 245 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
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 26,86,490 . The biggest common factor number is the GCF number.
So the greatest common factor 26,86,490 is 2.
Lets's calculate LCM of 67,51,152
Given numbers has no common factors except 1. So, there LCM is their product i.e 519384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/519384
Therefore, the GCF of Fractions 26/67,86/51,490/152 is 2/519384
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 67,51,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,51,152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,51,152) x common factors =1 x 1 = 1
LCM(67,51,152) = ( 67 × 51 × 152 ) / 1
LCM(67,51,152) = 519384 / 1
LCM(67,51,152) = 519384
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 26/67, 86/51, 490/152?
Answer: GCF of Numerators as per given numbers 26/67, 86/51, 490/152 is
GCF of Numerators i.e. for 26,86,490 is 2
LCM of denominators i.e. for 67,51,152 is 519384.
Thus, GCF of Fractions is 2/519384.Finally, GCF of Fractions for 26/67, 86/51, 490/152 is 2/519384.