Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/15,99/70,112/670
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 95,99,112
Greatest Common Factor of Numerators i.e. GCF of 95,99,112 is 1 .
LCM of Denominators means LCM of 15,70,670 as per the given fractions.
LCM of 15,70,670 is 14070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,99,112
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 95,99,112 . The biggest common factor number is the GCF number.
So the greatest common factor 95,99,112 is 1.
Lets's calculate LCM of 15,70,670
2 | 15, 70, 670 |
5 | 15, 35, 335 |
3, 7, 67 |
∴ So the LCM of the given numbers is 2 x 5 x 3 x 7 x 67 = 14070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14070
Therefore, the GCF of Fractions 95/15,99/70,112/670 is 1/14070
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 15,70,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,70,670) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(15,70,670) x common factors =5 x 10 = 50
LCM(15,70,670) = ( 15 × 70 × 670 ) / 50
LCM(15,70,670) = 703500 / 50
LCM(15,70,670) = 14070
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 95/15, 99/70, 112/670?
Answer: GCF of Numerators as per given numbers 95/15, 99/70, 112/670 is
GCF of Numerators i.e. for 95,99,112 is 1
LCM of denominators i.e. for 15,70,670 is 14070.
Thus, GCF of Fractions is 1/14070.Finally, GCF of Fractions for 95/15, 99/70, 112/670 is 1/14070.