Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9800/966,4818/1739
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 9800,4818
Greatest Common Factor of Numerators i.e. GCF of 9800,4818 is 2 .
LCM of Denominators means LCM of 966,1739 as per the given fractions.
LCM of 966,1739 is 1679874 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9800,4818
2 | 9800, 4818 |
4900, 2409 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9800
List of positive integer factors of 9800 that divides 9800 without a remainder.
1,2,4,5,7,8,10,14,20,25,28,35,40,49,50,56,70,98,100,140,175,196,200,245,280,350,392,490,700,980,1225,1400,1960,2450,4900,9800
Factors of 4818
List of positive integer factors of 4818 that divides 4818 without a remainder.
1,2,3,6,11,22,33,66,73,146,219,438,803,1606,2409,4818
Greatest Common Factor
We found the factors 9800,4818 . The biggest common factor number is the GCF number.
So the greatest common factor 9800,4818 is 2.
Lets's calculate LCM of 966,1739
Given numbers has no common factors except 1. So, there LCM is their product i.e 1679874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1679874
Therefore, the GCF of Fractions 9800/966,4818/1739 is 2/1679874
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 966,1739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,1739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(966,1739) x common factors =1 x 1 = 1
LCM(966,1739) = ( 966 × 1739 ) / 1
LCM(966,1739) = 1679874 / 1
LCM(966,1739) = 1679874
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 9800/966, 4818/1739?
Answer: GCF of Numerators as per given numbers 9800/966, 4818/1739 is
GCF of Numerators i.e. for 9800,4818 is 2
LCM of denominators i.e. for 966,1739 is 1679874.
Thus, GCF of Fractions is 2/1679874.Finally, GCF of Fractions for 9800/966, 4818/1739 is 2/1679874.