Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 248/85,887/52,117/46
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 248,887,117
Greatest Common Factor of Numerators i.e. GCF of 248,887,117 is 1 .
LCM of Denominators means LCM of 85,52,46 as per the given fractions.
LCM of 85,52,46 is 101660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 248,887,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Greatest Common Factor
We found the factors 248,887,117 . The biggest common factor number is the GCF number.
So the greatest common factor 248,887,117 is 1.
Lets's calculate LCM of 85,52,46
2 | 85, 52, 46 |
85, 26, 23 |
∴ So the LCM of the given numbers is 2 x 85 x 26 x 23 = 101660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101660
Therefore, the GCF of Fractions 248/85,887/52,117/46 is 1/101660
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 85,52,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,52,46) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(85,52,46) x common factors =1 x 2 = 2
LCM(85,52,46) = ( 85 × 52 × 46 ) / 2
LCM(85,52,46) = 203320 / 2
LCM(85,52,46) = 101660
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 248/85, 887/52, 117/46?
Answer: GCF of Numerators as per given numbers 248/85, 887/52, 117/46 is
GCF of Numerators i.e. for 248,887,117 is 1
LCM of denominators i.e. for 85,52,46 is 101660.
Thus, GCF of Fractions is 1/101660.Finally, GCF of Fractions for 248/85, 887/52, 117/46 is 1/101660.