Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6160/33,5452/166
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 6160,5452
Greatest Common Factor of Numerators i.e. GCF of 6160,5452 is 4 .
LCM of Denominators means LCM of 33,166 as per the given fractions.
LCM of 33,166 is 5478 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6160,5452
2 | 6160, 5452 |
2 | 3080, 2726 |
1540, 1363 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6160
List of positive integer factors of 6160 that divides 6160 without a remainder.
1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160
Factors of 5452
List of positive integer factors of 5452 that divides 5452 without a remainder.
1,2,4,29,47,58,94,116,188,1363,2726,5452
Greatest Common Factor
We found the factors 6160,5452 . The biggest common factor number is the GCF number.
So the greatest common factor 6160,5452 is 4.
Lets's calculate LCM of 33,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 5478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5478
Therefore, the GCF of Fractions 6160/33,5452/166 is 4/5478
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 33,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,166) x common factors =1 x 1 = 1
LCM(33,166) = ( 33 × 166 ) / 1
LCM(33,166) = 5478 / 1
LCM(33,166) = 5478
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 6160/33, 5452/166?
Answer: GCF of Numerators as per given numbers 6160/33, 5452/166 is
GCF of Numerators i.e. for 6160,5452 is 4
LCM of denominators i.e. for 33,166 is 5478.
Thus, GCF of Fractions is 4/5478.Finally, GCF of Fractions for 6160/33, 5452/166 is 4/5478.