Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2044/883,6960/285
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 2044,6960
Greatest Common Factor of Numerators i.e. GCF of 2044,6960 is 4 .
LCM of Denominators means LCM of 883,285 as per the given fractions.
LCM of 883,285 is 251655 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2044,6960
2 | 2044, 6960 |
2 | 1022, 3480 |
511, 1740 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2044
List of positive integer factors of 2044 that divides 2044 without a remainder.
1,2,4,7,14,28,73,146,292,511,1022,2044
Factors of 6960
List of positive integer factors of 6960 that divides 6960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,29,30,40,48,58,60,80,87,116,120,145,174,232,240,290,348,435,464,580,696,870,1160,1392,1740,2320,3480,6960
Greatest Common Factor
We found the factors 2044,6960 . The biggest common factor number is the GCF number.
So the greatest common factor 2044,6960 is 4.
Lets's calculate LCM of 883,285
Given numbers has no common factors except 1. So, there LCM is their product i.e 251655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/251655
Therefore, the GCF of Fractions 2044/883,6960/285 is 4/251655
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 883,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,285) x common factors =1 x 1 = 1
LCM(883,285) = ( 883 × 285 ) / 1
LCM(883,285) = 251655 / 1
LCM(883,285) = 251655
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 2044/883, 6960/285?
Answer: GCF of Numerators as per given numbers 2044/883, 6960/285 is
GCF of Numerators i.e. for 2044,6960 is 4
LCM of denominators i.e. for 883,285 is 251655.
Thus, GCF of Fractions is 4/251655.Finally, GCF of Fractions for 2044/883, 6960/285 is 4/251655.