Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5472/69,9570/694
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 5472,9570
Greatest Common Factor of Numerators i.e. GCF of 5472,9570 is 6 .
LCM of Denominators means LCM of 69,694 as per the given fractions.
LCM of 69,694 is 47886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5472,9570
2 | 5472, 9570 |
3 | 2736, 4785 |
912, 1595 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 5472
List of positive integer factors of 5472 that divides 5472 without a remainder.
1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472
Factors of 9570
List of positive integer factors of 9570 that divides 9570 without a remainder.
1,2,3,5,6,10,11,15,22,29,30,33,55,58,66,87,110,145,165,174,290,319,330,435,638,870,957,1595,1914,3190,4785,9570
Greatest Common Factor
We found the factors 5472,9570 . The biggest common factor number is the GCF number.
So the greatest common factor 5472,9570 is 6.
Lets's calculate LCM of 69,694
Given numbers has no common factors except 1. So, there LCM is their product i.e 47886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/47886
Therefore, the GCF of Fractions 5472/69,9570/694 is 6/47886
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 69,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,694) x common factors =1 x 1 = 1
LCM(69,694) = ( 69 × 694 ) / 1
LCM(69,694) = 47886 / 1
LCM(69,694) = 47886
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 5472/69, 9570/694?
Answer: GCF of Numerators as per given numbers 5472/69, 9570/694 is
GCF of Numerators i.e. for 5472,9570 is 6
LCM of denominators i.e. for 69,694 is 47886.
Thus, GCF of Fractions is 6/47886.Finally, GCF of Fractions for 5472/69, 9570/694 is 6/47886.