Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1080/980,1988/194
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 1080,1988
Greatest Common Factor of Numerators i.e. GCF of 1080,1988 is 4 .
LCM of Denominators means LCM of 980,194 as per the given fractions.
LCM of 980,194 is 95060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1080,1988
2 | 1080, 1988 |
2 | 540, 994 |
270, 497 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1080
List of positive integer factors of 1080 that divides 1080 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,90,108,120,135,180,216,270,360,540,1080
Factors of 1988
List of positive integer factors of 1988 that divides 1988 without a remainder.
1,2,4,7,14,28,71,142,284,497,994,1988
Greatest Common Factor
We found the factors 1080,1988 . The biggest common factor number is the GCF number.
So the greatest common factor 1080,1988 is 4.
Lets's calculate LCM of 980,194
2 | 980, 194 |
490, 97 |
∴ So the LCM of the given numbers is 2 x 490 x 97 = 95060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/95060
Therefore, the GCF of Fractions 1080/980,1988/194 is 4/95060
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 980,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(980,194) x common factors =2 x 1 = 2
LCM(980,194) = ( 980 × 194 ) / 2
LCM(980,194) = 190120 / 2
LCM(980,194) = 95060
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 1080/980, 1988/194?
Answer: GCF of Numerators as per given numbers 1080/980, 1988/194 is
GCF of Numerators i.e. for 1080,1988 is 4
LCM of denominators i.e. for 980,194 is 95060.
Thus, GCF of Fractions is 4/95060.Finally, GCF of Fractions for 1080/980, 1988/194 is 4/95060.