Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5570/998,5840/5556
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 5570,5840
Greatest Common Factor of Numerators i.e. GCF of 5570,5840 is 10 .
LCM of Denominators means LCM of 998,5556 as per the given fractions.
LCM of 998,5556 is 2772444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5570,5840
2 | 5570, 5840 |
5 | 2785, 2920 |
557, 584 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 5570
List of positive integer factors of 5570 that divides 5570 without a remainder.
1,2,5,10,557,1114,2785,5570
Factors of 5840
List of positive integer factors of 5840 that divides 5840 without a remainder.
1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840
Greatest Common Factor
We found the factors 5570,5840 . The biggest common factor number is the GCF number.
So the greatest common factor 5570,5840 is 10.
Lets's calculate LCM of 998,5556
2 | 998, 5556 |
499, 2778 |
∴ So the LCM of the given numbers is 2 x 499 x 2778 = 2772444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2772444
Therefore, the GCF of Fractions 5570/998,5840/5556 is 10/2772444
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 998,5556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,5556) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,5556) x common factors =2 x 1 = 2
LCM(998,5556) = ( 998 × 5556 ) / 2
LCM(998,5556) = 5544888 / 2
LCM(998,5556) = 2772444
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 5570/998, 5840/5556?
Answer: GCF of Numerators as per given numbers 5570/998, 5840/5556 is
GCF of Numerators i.e. for 5570,5840 is 10
LCM of denominators i.e. for 998,5556 is 2772444.
Thus, GCF of Fractions is 10/2772444.Finally, GCF of Fractions for 5570/998, 5840/5556 is 10/2772444.