Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9954/727,3927/170
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 9954,3927
Greatest Common Factor of Numerators i.e. GCF of 9954,3927 is 21 .
LCM of Denominators means LCM of 727,170 as per the given fractions.
LCM of 727,170 is 123590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9954,3927
3 | 9954, 3927 |
7 | 3318, 1309 |
474, 187 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 9954
List of positive integer factors of 9954 that divides 9954 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,79,126,158,237,474,553,711,1106,1422,1659,3318,4977,9954
Factors of 3927
List of positive integer factors of 3927 that divides 3927 without a remainder.
1,3,7,11,17,21,33,51,77,119,187,231,357,561,1309,3927
Greatest Common Factor
We found the factors 9954,3927 . The biggest common factor number is the GCF number.
So the greatest common factor 9954,3927 is 21.
Lets's calculate LCM of 727,170
Given numbers has no common factors except 1. So, there LCM is their product i.e 123590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/123590
Therefore, the GCF of Fractions 9954/727,3927/170 is 21/123590
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 727,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,170) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,170) x common factors =1 x 1 = 1
LCM(727,170) = ( 727 × 170 ) / 1
LCM(727,170) = 123590 / 1
LCM(727,170) = 123590
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 9954/727, 3927/170?
Answer: GCF of Numerators as per given numbers 9954/727, 3927/170 is
GCF of Numerators i.e. for 9954,3927 is 21
LCM of denominators i.e. for 727,170 is 123590.
Thus, GCF of Fractions is 21/123590.Finally, GCF of Fractions for 9954/727, 3927/170 is 21/123590.