Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/66,13/490,448/308
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 70,13,448
Greatest Common Factor of Numerators i.e. GCF of 70,13,448 is 1 .
LCM of Denominators means LCM of 66,490,308 as per the given fractions.
LCM of 66,490,308 is 32340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,13,448
∴ 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 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Greatest Common Factor
We found the factors 70,13,448 . The biggest common factor number is the GCF number.
So the greatest common factor 70,13,448 is 1.
Lets's calculate LCM of 66,490,308
2 | 66, 490, 308 |
7 | 33, 245, 154 |
11 | 33, 35, 22 |
3, 35, 2 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 3 x 35 x 2 = 32340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32340
Therefore, the GCF of Fractions 70/66,13/490,448/308 is 1/32340
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 66,490,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,490,308) = 2
common factors(in case of two or more numbers have common factors) = 154
GCF(66,490,308) x common factors =2 x 154 = 308
LCM(66,490,308) = ( 66 × 490 × 308 ) / 308
LCM(66,490,308) = 9960720 / 308
LCM(66,490,308) = 32340
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 70/66, 13/490, 448/308?
Answer: GCF of Numerators as per given numbers 70/66, 13/490, 448/308 is
GCF of Numerators i.e. for 70,13,448 is 1
LCM of denominators i.e. for 66,490,308 is 32340.
Thus, GCF of Fractions is 1/32340.Finally, GCF of Fractions for 70/66, 13/490, 448/308 is 1/32340.