Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/22,19/429,670/240
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 70,19,670
Greatest Common Factor of Numerators i.e. GCF of 70,19,670 is 1 .
LCM of Denominators means LCM of 22,429,240 as per the given fractions.
LCM of 22,429,240 is 34320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,19,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 70,19,670 . The biggest common factor number is the GCF number.
So the greatest common factor 70,19,670 is 1.
Lets's calculate LCM of 22,429,240
2 | 22, 429, 240 |
3 | 11, 429, 120 |
11 | 11, 143, 40 |
1, 13, 40 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 13 x 40 = 34320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34320
Therefore, the GCF of Fractions 70/22,19/429,670/240 is 1/34320
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 22,429,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,429,240) = 1
common factors(in case of two or more numbers have common factors) = 66
GCF(22,429,240) x common factors =1 x 66 = 66
LCM(22,429,240) = ( 22 × 429 × 240 ) / 66
LCM(22,429,240) = 2265120 / 66
LCM(22,429,240) = 34320
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 70/22, 19/429, 670/240?
Answer: GCF of Numerators as per given numbers 70/22, 19/429, 670/240 is
GCF of Numerators i.e. for 70,19,670 is 1
LCM of denominators i.e. for 22,429,240 is 34320.
Thus, GCF of Fractions is 1/34320.Finally, GCF of Fractions for 70/22, 19/429, 670/240 is 1/34320.