Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5548/901,9461/450
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 5548,9461
Greatest Common Factor of Numerators i.e. GCF of 5548,9461 is 1 .
LCM of Denominators means LCM of 901,450 as per the given fractions.
LCM of 901,450 is 405450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5548,9461
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5548
List of positive integer factors of 5548 that divides 5548 without a remainder.
1,2,4,19,38,73,76,146,292,1387,2774,5548
Factors of 9461
List of positive integer factors of 9461 that divides 9461 without a remainder.
1,9461
Greatest Common Factor
We found the factors 5548,9461 . The biggest common factor number is the GCF number.
So the greatest common factor 5548,9461 is 1.
Lets's calculate LCM of 901,450
Given numbers has no common factors except 1. So, there LCM is their product i.e 405450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/405450
Therefore, the GCF of Fractions 5548/901,9461/450 is 1/405450
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 901,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,450) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,450) x common factors =1 x 1 = 1
LCM(901,450) = ( 901 × 450 ) / 1
LCM(901,450) = 405450 / 1
LCM(901,450) = 405450
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 5548/901, 9461/450?
Answer: GCF of Numerators as per given numbers 5548/901, 9461/450 is
GCF of Numerators i.e. for 5548,9461 is 1
LCM of denominators i.e. for 901,450 is 405450.
Thus, GCF of Fractions is 1/405450.Finally, GCF of Fractions for 5548/901, 9461/450 is 1/405450.