Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3151/48,6971/276
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 3151,6971
Greatest Common Factor of Numerators i.e. GCF of 3151,6971 is 1 .
LCM of Denominators means LCM of 48,276 as per the given fractions.
LCM of 48,276 is 1104 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3151,6971
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3151
List of positive integer factors of 3151 that divides 3151 without a remainder.
1,23,137,3151
Factors of 6971
List of positive integer factors of 6971 that divides 6971 without a remainder.
1,6971
Greatest Common Factor
We found the factors 3151,6971 . The biggest common factor number is the GCF number.
So the greatest common factor 3151,6971 is 1.
Lets's calculate LCM of 48,276
2 | 48, 276 |
2 | 24, 138 |
3 | 12, 69 |
4, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 23 = 1104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1104
Therefore, the GCF of Fractions 3151/48,6971/276 is 1/1104
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 48,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,276) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(48,276) x common factors =12 x 1 = 12
LCM(48,276) = ( 48 × 276 ) / 12
LCM(48,276) = 13248 / 12
LCM(48,276) = 1104
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 3151/48, 6971/276?
Answer: GCF of Numerators as per given numbers 3151/48, 6971/276 is
GCF of Numerators i.e. for 3151,6971 is 1
LCM of denominators i.e. for 48,276 is 1104.
Thus, GCF of Fractions is 1/1104.Finally, GCF of Fractions for 3151/48, 6971/276 is 1/1104.