Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 107/30,101/6265
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 107,101
Greatest Common Factor of Numerators i.e. GCF of 107,101 is 1 .
LCM of Denominators means LCM of 30,6265 as per the given fractions.
LCM of 30,6265 is 37590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 107,101
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Greatest Common Factor
We found the factors 107,101 . The biggest common factor number is the GCF number.
So the greatest common factor 107,101 is 1.
Lets's calculate LCM of 30,6265
5 | 30, 6265 |
6, 1253 |
∴ So the LCM of the given numbers is 5 x 6 x 1253 = 37590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37590
Therefore, the GCF of Fractions 107/30,101/6265 is 1/37590
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 30,6265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,6265) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(30,6265) x common factors =5 x 1 = 5
LCM(30,6265) = ( 30 × 6265 ) / 5
LCM(30,6265) = 187950 / 5
LCM(30,6265) = 37590
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 107/30, 101/6265?
Answer: GCF of Numerators as per given numbers 107/30, 101/6265 is
GCF of Numerators i.e. for 107,101 is 1
LCM of denominators i.e. for 30,6265 is 37590.
Thus, GCF of Fractions is 1/37590.Finally, GCF of Fractions for 107/30, 101/6265 is 1/37590.