Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1770/474,9156/114
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 1770,9156
Greatest Common Factor of Numerators i.e. GCF of 1770,9156 is 6 .
LCM of Denominators means LCM of 474,114 as per the given fractions.
LCM of 474,114 is 9006 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1770,9156
2 | 1770, 9156 |
3 | 885, 4578 |
295, 1526 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 1770
List of positive integer factors of 1770 that divides 1770 without a remainder.
1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Factors of 9156
List of positive integer factors of 9156 that divides 9156 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156
Greatest Common Factor
We found the factors 1770,9156 . The biggest common factor number is the GCF number.
So the greatest common factor 1770,9156 is 6.
Lets's calculate LCM of 474,114
2 | 474, 114 |
3 | 237, 57 |
79, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 19 = 9006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/9006
Therefore, the GCF of Fractions 1770/474,9156/114 is 6/9006
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 474,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,114) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(474,114) x common factors =6 x 1 = 6
LCM(474,114) = ( 474 × 114 ) / 6
LCM(474,114) = 54036 / 6
LCM(474,114) = 9006
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 1770/474, 9156/114?
Answer: GCF of Numerators as per given numbers 1770/474, 9156/114 is
GCF of Numerators i.e. for 1770,9156 is 6
LCM of denominators i.e. for 474,114 is 9006.
Thus, GCF of Fractions is 6/9006.Finally, GCF of Fractions for 1770/474, 9156/114 is 6/9006.