Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5549/163,5479/1553
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 5549,5479
Greatest Common Factor of Numerators i.e. GCF of 5549,5479 is 1 .
LCM of Denominators means LCM of 163,1553 as per the given fractions.
LCM of 163,1553 is 253139 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5549,5479
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5549
List of positive integer factors of 5549 that divides 5549 without a remainder.
1,31,179,5549
Factors of 5479
List of positive integer factors of 5479 that divides 5479 without a remainder.
1,5479
Greatest Common Factor
We found the factors 5549,5479 . The biggest common factor number is the GCF number.
So the greatest common factor 5549,5479 is 1.
Lets's calculate LCM of 163,1553
Given numbers has no common factors except 1. So, there LCM is their product i.e 253139
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253139
Therefore, the GCF of Fractions 5549/163,5479/1553 is 1/253139
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 163,1553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,1553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,1553) x common factors =1 x 1 = 1
LCM(163,1553) = ( 163 × 1553 ) / 1
LCM(163,1553) = 253139 / 1
LCM(163,1553) = 253139
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 5549/163, 5479/1553?
Answer: GCF of Numerators as per given numbers 5549/163, 5479/1553 is
GCF of Numerators i.e. for 5549,5479 is 1
LCM of denominators i.e. for 163,1553 is 253139.
Thus, GCF of Fractions is 1/253139.Finally, GCF of Fractions for 5549/163, 5479/1553 is 1/253139.