Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 265/30,702/52,310/863
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 265,702,310
Greatest Common Factor of Numerators i.e. GCF of 265,702,310 is 1 .
LCM of Denominators means LCM of 30,52,863 as per the given fractions.
LCM of 30,52,863 is 673140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 265,702,310
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 265,702,310 . The biggest common factor number is the GCF number.
So the greatest common factor 265,702,310 is 1.
Lets's calculate LCM of 30,52,863
2 | 30, 52, 863 |
15, 26, 863 |
∴ So the LCM of the given numbers is 2 x 15 x 26 x 863 = 673140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/673140
Therefore, the GCF of Fractions 265/30,702/52,310/863 is 1/673140
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 30,52,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,52,863) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(30,52,863) x common factors =1 x 2 = 2
LCM(30,52,863) = ( 30 × 52 × 863 ) / 2
LCM(30,52,863) = 1346280 / 2
LCM(30,52,863) = 673140
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 265/30, 702/52, 310/863?
Answer: GCF of Numerators as per given numbers 265/30, 702/52, 310/863 is
GCF of Numerators i.e. for 265,702,310 is 1
LCM of denominators i.e. for 30,52,863 is 673140.
Thus, GCF of Fractions is 1/673140.Finally, GCF of Fractions for 265/30, 702/52, 310/863 is 1/673140.