Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6930/839,1330/3753
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 6930,1330
Greatest Common Factor of Numerators i.e. GCF of 6930,1330 is 70 .
LCM of Denominators means LCM of 839,3753 as per the given fractions.
LCM of 839,3753 is 3148767 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6930,1330
2 | 6930, 1330 |
5 | 3465, 665 |
7 | 693, 133 |
99, 19 |
∴ So the GCF of the given numbers is 2 x 5 x 7 = 70
Factors of 6930
List of positive integer factors of 6930 that divides 6930 without a remainder.
1,2,3,5,6,7,9,10,11,14,15,18,21,22,30,33,35,42,45,55,63,66,70,77,90,99,105,110,126,154,165,198,210,231,315,330,385,462,495,630,693,770,990,1155,1386,2310,3465,6930
Factors of 1330
List of positive integer factors of 1330 that divides 1330 without a remainder.
1,2,5,7,10,14,19,35,38,70,95,133,190,266,665,1330
Greatest Common Factor
We found the factors 6930,1330 . The biggest common factor number is the GCF number.
So the greatest common factor 6930,1330 is 70.
Lets's calculate LCM of 839,3753
Given numbers has no common factors except 1. So, there LCM is their product i.e 3148767
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/3148767
Therefore, the GCF of Fractions 6930/839,1330/3753 is 70/3148767
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 839,3753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,3753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,3753) x common factors =1 x 1 = 1
LCM(839,3753) = ( 839 × 3753 ) / 1
LCM(839,3753) = 3148767 / 1
LCM(839,3753) = 3148767
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 6930/839, 1330/3753?
Answer: GCF of Numerators as per given numbers 6930/839, 1330/3753 is
GCF of Numerators i.e. for 6930,1330 is 70
LCM of denominators i.e. for 839,3753 is 3148767.
Thus, GCF of Fractions is 70/3148767.Finally, GCF of Fractions for 6930/839, 1330/3753 is 70/3148767.